An elastic collision is a collision wherein there may be no net loss in kinetic energy in the machine due to the collision. every momentum and kinetic power are conserved quantities in elastic collisions.
An elastic collision is a come among bodies in which the overall kinetic power of the two bodies stays identical. In an ideal, perfectly elastic collision, there may be no internet conversion of kinetic strength into other kinds which includes heat, noise, or capacity electricity.
Elastic collisions arise whilst both the momentum and kinetic energy are conserved, just like how billiard balls bounce off each different and move at the same speeds as earlier. Inelastic collisions appear whilst simplest the momentum is conserved but not the kinetic power.
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a boy standing at one end of a floating raft that is stationary relative to the shore walks to the opposite end of the raft, away from the shore. as a consequence, the raft does which of the following? [hint: use conservation of momentum.]
If a boy standing at one end of a floating raft that is stationary relative to the shore walks to the opposite end of the raft, away from the shore, the raft will move towards the shore.
According to law of conservation of momentum, the total linear momentum of a closed system remains constant. Initially the raft is at rest, so the magnitude of momentum is zero. Because,
p = m v
p = Momentum
m = Mass
v = Velocity
If v = 0, p = 0
According to law of conservation of momentum, the final magnitude of this must be zero. So if the boy walks away from the shore, the raft must move towards the shore to maintain this zero magnitude.
Therefore, if a boy standing at one end of a floating raft that is stationary relative to the shore walks to the opposite end of the raft, away from the shore, the raft will move towards the shore.
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Did friction play a role? Do you believe you have demonstrated energy conservation and the work-kinetic energy theorem convincingly?
Yes, friction plays a role. Yes, I believe that proven conservation of energy and conservation of work-kinetic energy and the work-kinetic energy theorem.
The work-energy theorem, or the work-kinetic energy theorem, as I prefer to call it, says
Wnet=ΔK
Where K is kinetic energy and W represents work.
We require a comprehensive summation of all forces acting on an object, whether positive or negative, to obtain a reliable value for Wnet. Whatever is left after subtracting the losses (negative work such as friction) and any positive work done by the motive forces is given as the change in kinetic energy of the object.
Overall, energy is saved. According to this theorem, when an object slows down, its final kinetic energy is less than its initial kinetic energy, the change in its kinetic energy is negative, and so is the net work done on it. If an object accelerates, the net work done on it is positive. When calculating the mesh, you must include all the forces acting on the object.
If you omit any forces that act on the object, or if you include any forces that do not act on it, you will get the wrong result. The importance of the work-energy theorem, and the other generalizations it leads to, is that some types of calculations are much simpler than trying to solve Newton's second law.
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a 160 turn coil has an area of 3 cm2 and rotates in a magnetic field of 0.5 t. (a) what frequency will generate a maximum emf of 10 v?
If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be Decreased and the resonant frequency would be unchanged.
What is frequency?
Frequency is the rate at which something occurs over a particular period of time or in a given sample.
Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.
It is defined as-
XL= 2πfL
Xc= 1/2πfC
So when reactance are equal we have-
XL=Xc
2πfL= 1/2πfC
f^2=1/4π^2LC
f=1/2π√LC
The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.
The impedance of a parallel LC circuit is:
Z(w)= jL w^2-w^2•/w
In a series LC circuit, when w
, the impedance becomes equal to 0.
Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.
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A man throws a ball a maximum horizontal distance of 101m. The acceleration of gravity is 9.8 m/s^2. How far can ge throw the same ball vertically upward with the same initial velocity.
The same ball can be throw vertically upward height 50.5 m with the same initial velocity.
What is projectile motion?The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.
Given parameters:
maximum horizontal distance: R = 101m.
The acceleration of gravity: g = 9.8 m/s^2.
We have to find, maximum vertically upward with the same initial velocity by the ball; H =?
We know that, maximum horizontal distance travelled by a projectile: R = u²/g
So, u²/g = 101 m.
And, maximum height obtained by a projectile = u²/2g = 101/2 m. = 50.5 m.
Hence, the same ball can be throw vertically upward height 50.5 m with the same initial velocity.
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Based on the excerpt, which type of government is the city of springfield using?.
The type of government the city of Springfield using is council Management system.
The council management government is a form of local government used for municipalities, counties, or other equivalent regions.
The basic structural feature of council- manager structure include a city or town council elected by the voters to exercise overall control of the local government and a chief executive- the city/town manager- appointed by and is totally responsible to the council.
The elected city council members represent their community and develop a long range visions for its future. They establish policies that affects the overall operations of the community and are responsive to residents needs and wishes.
it most resembles the structure of the federal government
The city benefits from the council management form of government in many ways like -
1. The manager carries out the policies which is established by the elected governing body.
2. Here the decisions on policy and the future of the community are made by the entire governing body rather than a single individual
3. The manager carries out the policies established by the elected governing body with an emphasis on effective, efficient and equitable service.
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the distance between two consecutive nodes of a standing wave is 24.5 cm. the hand generating the pulses moves up and down through a complete cycle 3.91 times every 8.76 s. find the velocity of the wave. answer in units of m/s. 014 10.0 po
The minimum distance in which car will stop is 256m.
What is distance?
distance is the length of the space between two points.
Distance is a numerical or its the occasionally qualitative measurement of how to far apart objects or points .
Sol-here we can apply Newton’s second law to the car of to determine of the maximum static friction to the force acting on the car:
€Fy=ma^y+ n-mg=0
Fs≤us mg
This maximum magnitude of static friction acts so long as the tires roll without skidding.
€Fx=ma^x-----> -fs=ma
The maximum acceleration is
a=-u^s g
The initial and final conditions are- xi=0, vi=50.0mi/h =22.4 m/s and vf =0.Then,
v^2=v^2+2a(xf-xi)---->v^2
f i I
Xf=(22.4m/s)^2/2(0.100)(9.80m/s^2)=256
Thus through the minimum distance in which car will stop is 256m.
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White light strikes a prism on one side while individual colors of light travel out of the prism on its other side. This demonstrates that.
The demonstration shows that white light is made up of different colors. When the white light hits the prism, it is bent at different angles because the different colors are refracted at different angles.
This is why the different colors come out of the prism at different angles.This causes the different colors to spread out and appear on the other side of the prism.
The different colors come out of the prism at different angles because they are refracted at different angles. This is because each color has a different index of refraction. The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in a medium.
Each color has a different index of refraction because they each interact with the medium differently. This is why the different colors spread out and appear on the other side of the prism.
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If the internal energy of a thermodynamic system is increased by 300. J while 75 j of expansion work is done, how much heat was transferred and in which direction, to or from the system?.
U = q+w
According to this, internal energy is the result of adding work and heat. You can tell that the system is losing 75 joules of work because as you push against your surroundings to perform expansion work, you are using up energy.
You can now connect those in and find a heat solution. The indicator on your heat indicates which way the flow was.
Positive indicates that internal energy increased, which caused heat to be sent to the system; negative indicates that internal energy decreased, which, if true, caused energy to leave the system by way of heat.
Now, 300 = q-75
The terms exothermic and endothermic simply signify whether or not heat is entering or exiting the system. In this scenario, which is positive, we can thus conclude that it is endothermic because it absorbed heat.
what in exothermic?
When energy is released as heat or light, the reaction is said to be exothermic. An exothermic reaction releases energy into the environment as opposed to an endothermic process, which absorbs energy from its surroundings.
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+375 J was transferred in exothermic and in which direction, to or from the system.
What in exothermic?
Exothermic reactions are those in which energy is discharged as heat or light. An exothermic reaction releases energy into the environment as opposed to an endothermic process, which absorbs energy from its surroundings.
According to first law of thermodynamics,
dE = Q – W
Where
Q = amont of heat = ?
dE = change in internal energy = +300 J
W = work done = +75 J Since work is done by the system
Plug the values we get
Q = dE + W
= +300 J + 75 J
= +375 J
Since Q is +ve so heat is transferred from the system
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a drag racer starts her car from rest and accelerates at 6.8 m/s 2 for the entire distance of 340 m. how long did it take the car to travel this distance? answer in units of s
Since the car is at rest, its starting speed is 0 m/s, its acceleration is 6.8 m/s2, and the distance the car must travel is 340 m. t =100s
How fast are they moving initially and ultimately?An object's initial velocity is the rate at which gravity exerts its first force on it. However, the final mass and velocity quantity that gauges the speed and direction of a moving object after it has reached the maximum level acceleration.
Is there a constant initial speed?The starting velocity of an automobile is zero while it is at rest. Its initial velocity would be greater than zero if a projectile is thrown into the area. The starting velocity will be greater than zero but will become zero if a car stops after pressing the brakes.
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If light and sound travel from point A to point B and start at the same time, which will reach point B first? Responses A sound.sound. B light and sound at the same time.light and sound at the same time. C light in some situations, sound in others.light in some situations, sound in others. D light.
If light and sound travel from point A to point B and start at the same time, then Light will reach point B first as the speed of light is much greater than that of sound.
Light is an electromagnetic wave that can travel in a vacuum as well. It does not require any medium for transference. Light is a transverse wave, that is, the medium moves in the direction perpendicular to that the direction of propagation of the wave.
The speed of light in a vacuum is 3 × [tex]10^{8}[/tex] m/s
Sound is a longitudinal wave, and the direction of disturbance is parallel to the propagation of the wave. It cannot travel without a medium.
The speed of sound is maximum in air.
Speed of sound in air = 343 m/s
Thus, The speed of sound is greater than that of sound. So, the light will reach first.
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claire is investigating potential and kinetic energy using a large ball. for her investigation, claire will stand at the top of a hill and push the ball down the hill. the picture shows claire's investigation. how will the ball's potential and kinetic energy change as it rolls down the hill? responses the ball's potential energy will increase, and its kinetic energy will decrease. the ball's potential energy will increase, and its kinetic energy will decrease. the ball's potential and kinetic energy will both decrease. the ball's potential and kinetic energy will both decrease. the ball's potential and kinetic energy will both increase. the ball's potential and kinetic energy will both increase. the ball's potential energy will decrease, and its kinetic energy will increase. the ball's potential energy will decrease, and its kinetic energy will increase.
As the ball is pushed from the top of hill, its potential energy will decrease and Kinetic energy will increase.
The ball is pushed from height, it starts moving/rolling and it gains some velocity, so it would definitely gain some Kinetic energy as
K.E. = [tex]\frac{mv^{2} }{2}[/tex]
The ball was initially at some height so it had some Potential Energy which is given as
P.E. = mgh
Where m is mass, h is height and g is the acceleration due to gravity.
So according to Law of Conservation of Energy, the potential energy will decrease as the kinetic energy starts increasing due to the gained velocity.
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Answer:
the answer is D
Explanation:
D
A car moving with the initial velocity of 30 m/s slows down at a constant rate of -3 m/s2. What distance does the car cover over this time?
Distance does the car cover over this time is 150 meter.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.
Given that car moving with the initial velocity of 30 m/s slows down at a constant rate of -3 m/s².
Using equation of motion
v² = u² +2as
s = -u²/2a
s = 30²/2.3
s = 150 meter
Distance does the car cover over this time is 150 meter.
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use the clausius-clapeyron equation to answer the following questions: 1) derive the relationship of pressure and temperature for a system consists of vapor and condensed (liquid or solid) phases, clearly state each of your assumptions.
On Clausius-Clayperon equation, the relationship between pressure and temperature for a system consists of vapor and condensed is the higher the pressure will required higher temperature on equilibrium.
Clausius-Clayperon have several assumptions for the equation to predict the actual condition of the system:
1. Saturated vapor is an ideal gas
2. Molar volume of the saturated vapor is much greater than the molar volume of the saturated liquid.
3. The heat of vaporization is constant over the temperature range of interest.
The equation of Clausius-Clayperon stated as:
[tex]LnP^{*}\\[/tex]=[tex](-\frac{dH_{vap} }{R})[/tex] [tex]\frac{1}{T}+C[/tex]
Based on the equation, we can conclude the temperature will be higher if the saturated pressure increased.
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mpulse is impulse is a force that is applied at a random time. a force that is applied very suddenly. the area under the force curve in a force-versus-time graph. the time interval that a force lasts
Impulse is the area, under the force curve in a force-versus-time graph.
What is impulse?Impulse is the integral of the force (F) over the time interval (Δt) over which the force acts. As force is a vector quantity so will be the impulse. Impulse applied on an object produces a vector change equivalent to its linear momentum, and the resulting direction is also changed. Impulse is the change in linear momentum of the body.
Two ways to calculate impulse:
Multiply force and time (F × Δt) Find the change in momentum (ΔP)Impulse is the area under the curve of a force versus time graph. The area above the time axis is positive Δp and the area below the axis is negative Δp. If the force is not constant, you can divide the graph into sections and add impulse to each section.
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suppose a ray of light traveling in a material with an index of refraction na reaches an interface with a material having an index of refraction nb. which of the following statements must be true for total internal reflection to occur? check all that apply. suppose a ray of light traveling in a material with an index of refraction na reaches an interface with a material having an index of refraction nb. which of the following statements must be true for total internal reflection to occur?check all that apply. the angle of incidence must be less than the critical angle. na > nb the angle of incidence must be greater than the critical angle. the angle of incidence must be equal to the critical angle. na
The statement na>nb must be true for total internal reflection to occur.
Total internal reflection is known to occur when a light beam prefers to move from a denser to a rarer medium.
The refractive index of a denser medium is higher than that of a rarer one. This indicates that the medium's refractive index is higher than the medium in the particular situation.
This implies that the incident angle must be bigger than the medium's critical angle.
Total internal reflection is the complete reflection of a light ray from the surrounding surfaces back into a medium, such as glass or water, in physics. If the incidence angle exceeds a specific limitation angle known as the critical angle, the phenomenon will manifest.
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A driver is going 25 m/s down the road when they spot a deer jump out in front of them. It takes them 0.75 seconds to react and apply the brakes. The brakes provide an acceleration of -8 m/s/s. How far do they travel before coming to a stop from the moment they saw the deer? (round your answer to the nearest whole meter)
16.5 m distance they travel before coming to a stop from the moment they saw the deer.
velocity=25 m/s
time=0.75 sec
acceleration= -8 m/s²
s=vt+at²/2
s=25×0.75-8×0.75×0.75÷2
s=18.75-2.25
s=16.5 m
Distance is the length between two locations or things, independent of direction. Since distance is a scalar property, it only takes into consideration the total magnitude and ignores the start and finish positions. Since distance is a scalar attribute, it can only have a positive or zero value; it cannot have a negative value.
The most common unit of measurement for distance is the meter (m), while larger distances can also be stated in kilometers (km), while smaller distances can be expressed in centimeters (cm) or millimeters (mm). When calculating distance, the letter D is often used to represent the distance traveled.
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When a pole vaulter reaches the top of her vault, how does her potential energy compare to her kinetic energy?.
Kinetic energy is twice the potential energy.
What type of energy is used in pole vaulting?A pole vaulter has kinetic energy when running forward. When a pole vaulter lowers the pole and jumps, it slows down and bends the pole. Their kinetic energy is transformed into polar elastic potential energy. When the pole is raised, the pole vaulter is lifted higher. After the start, the athlete and pole rotate around his starting box, converting some of the athlete's kinetic energy into gravitational potential energy. Also, during the jump, the momentum of the athlete causes the pole to flex, temporarily storing elastic stretch energy in the pole.
Mechanical energy depends on the position and motion of an object, and its force is the sum of kinetic energy (kinetic energy) and stored (potential) energy. That is, mechanical energy is produced when the potential energy of an object combines with its kinetic energy.
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2. As a shot putter in track, you want to throw as far as you can. You as the coach give your
best advice based on the Physics you learned. Give 2 suggestions to help your student and
explain why?
Answer:
Below
Explanation:
Throw it faster and closer to 45° to get the furthest horizontal distance
uniform electric fields: two very large parallel metal plates, separated by 0.20 m, are connected across a 12-v source of potential. an electron is released from rest at a location 0.10 m from the negative plate. when the electron arrives at a distance 0.050 m from the positive plate, how much kinetic energy has the electron gained?
The kinetic energy gained by the electron if it is released from rest at a location 0.10 m from the negative plate and arrives at a distance 0.050 m from the positive plate is 2.4 * [tex]10^{-19}[/tex] J
E = Q / 2 εo A
F = q E
E = Electric field inside a parallel plate capacitor
Q = Charge on capacitor
A = Area of one of the plates
F = Electric force on electron
q = Charge of electron
F = q Q / 2 εo A
C = εo A / d = Q / V
C = Capacitance
d = Distance between plates
V = Voltage
V = 12 V
d = 0.2 m
Q / εo A = V / d
Q / εo A = 12 / 0.2
Q / εo A = 60
F = q Q / 2 εo A
F = q * 60 / 2
F = 30 q
ΔKE = F x
q = 1.6 * [tex]10^{-19}[/tex] C
ΔKE = 30 * 1.6 * [tex]10^{-19}[/tex] * 0.05
ΔKE = 2.4 * [tex]10^{-19}[/tex] J
Therefore, the kinetic energy gained by the electron is 2.4 * [tex]10^{-19}[/tex] J
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does it take more energy to go fast or go high? an 80 metric-ton airplane is flying with speed 200 m/s at a height of 11 km. the energy from the ground up to this height was provided by fuel. find the airplane: kinetic energy in gj. gravitational potential energy in gj (ground as zero).
The kinetic energy flying with a speed 200 m/s is gJ is 16gJ.
The gravitational potential energy of an object is directly proportional to its height above the zero position.
Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational capacity electricity. A tripling of the height will bring about a tripling of the gravitational ability electricity.
Calculation:-
mass = 80 metric ton = 8000 kg
Kinetic energy = 1/2mv²
= 1/2 × 8000 × 200²
= 4000 × 200 × 200
= 160000000 J
Opposite to potential energy, the kinetic energy of an object is relative to different stationary and shifting items found in its immediately environment. as an instance, the kinetic energy of the item may be better if the object is located at a more height.
If the tennis ball is dropped from a bigger height, the share of potential energy misplaced may be greater because the ball will fall a for a longer quantity of time, which means it will lose extra electricity via air friction and from the bigger effect of the ground.
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Disclaimer:- your question is incomplete, please see below for the complete question.
does it take more energy to go fast or go high? an 80 metric-ton airplane is flying with speed 200 m/s at a height of 11 km. the energy from the ground up to this height was provided by fuel. find the airplane: kinetic energy in gj. gravitational potential energy in gj (ground as zero).
A.True
B. False
What is the impulse on a 5 kg mass that is moving from rest to a velocity of 5 m/s?.
The impulse on the object with a mass of 5 kg and a velocity of 5 m/s is 25 kg m/s. The result is obtained by using the Impulse-Momentum Theorem.
What is Impulse-Momentum Theorem?The Impulse-Momentum Theorem states that impulse of an object equals to the change of the momentum. It can be expressed as
I = Δp
I = mΔv
Where
I = Impuls (Ns or kg m/s)Δp = change of momentum (Ns or kg m/s)m = mass of an object (kg)Δv = change of velocity (m/s)If an object has a mass of 5 kg and moves from rest to a velocity of 5 m/s, what is the impulse?
Since the object moves from rest, the initial velocity of the object is 0.
The impulse is
I = mΔv
I = 5 kg × (5 m/s - 0)
I = 5 kg × 5 m/s
I = 25 kg m/s
Hence, the impulse on the moving object is 25 kg m/s.
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An archer shoots an arrow at a 75.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow, (a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 35.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.) In this part of the problem explicitly show how you follow the steps in the Problem-Solving Strategy for projectile motion found on pages 65 and 66. (b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?
The angle that must the arrow be released to hit the bull's eye if its initial speed is 35.0 m/s is 18.435°.
Velocity is the time price at which an item is transferring alongside a course, even as speed is the price and route of an item's movement. positioned some other way, velocity is a scalar fee, even as speed is a vector.
Calculation:-
here R = 75 m and u = 35 m/s
R = u²nsin2θ/g
therefore , 75 = (35)²sin2θ/9.8
⇒ 2θ = sin⁻¹(75 × 9.8/35²) = 36.87°
⇒ θ = 36.87/2 = 18.435°
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a 70 kg astronaut floating in space in a 110 kg mmu (manned maneuvering unit) experiences an acceleration of 0.029 m/s2 when he fires one of the mmu's thrusters. for related problemsolving tips and strategies, you may want to view a video tutor solution of
5.22N is the thrust of the thruster.
How much thrust does the rocket have?The thrust is the force that propels the rocket through the atmosphere and into space. Newton's third law of motion, which states that every action has an equal and opposite reaction, is used to generate thrust by the rocket's propulsion system.
[tex]m_{A}[/tex] = 70kg
M = 110kg
a = 0.029m/s²
[tex]V_{N_{2} }[/tex] = 490m/s
The gas (mass)[tex]d_{m}[/tex] ejected by the thruster and the thrust can now be calculated using the two equations below F:
a = - [tex]V_{N_{2} }[/tex]/m dm/dt (1)
F = - [tex]V_{N_{2} }[/tex] dm/dt (2)
Where,
m = [tex]m_{A}[/tex] +M
m = 70+110
m = 180kg
The entire mass of the astronaut-MMU system is 180 kg.
[tex]d_{m}[/tex] is the fuel's ejected mass
dt =5sec is the window of time during which this occurs
Since the mass of the fuel is so small in relation to the total mass, we must separate from (1) here and assume it to be constant:
dm = -ma/[tex]V_{N_{2} }[/tex] dt
dm = - (180)(0.029)/490 ×5
dm = -0.053kg
The reason for the negative sign is that the ejected mass is moving in the opposite direction from where the astronaut-MMU system is moving. The value of is 0.053 kg, though.
Use equation (2) and the results from the calculation in
F = -490× -0.0593/5
F = 5.22N.
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what are the main drivers of deep ocean currents? question 2 options: fluctuations of wind speed and precipitation the gravitational influences of the moon changes in viscosity of ocean water variations of temperature, salinity, and density
Deepwater currents are produced by upwelling currents that surface wind-driven currents produce in conjunction with landforms.
Thermohaline circulation is a phenomenon that can create currents by altering the density of water masses as a result of changes in temperature and salinity. The wind, tides, Coriolis effect, sun, solar energy, and changes in water density all contribute to the ocean's complex current or circulation system. Variations in temperature and salinity are the root causes of these discrepancies. As ocean water evaporates, salt is left behind, increasing the salt concentration in the ocean, making oceans much saltier than river water. a flow of ocean water in one direction; surface currents are caused by constant winds over the ocean's surface; deep currents are caused by density changes brought on by variations in temperature and salinity.
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The recurrence interval is equal to (N + 1)/M where N is the number of years of flood records and M is _______________________.
Group of answer choices
the numerical rank of each year’s maximum flood discharge
minimum amount of discharge needed to produce a flood
mass of water moved in each year’s maximum flood
the absolute value of the slope of the falling limb on the hydrograph of a 50-year flood
The recurrence interval is equal to (N + 1)/M where N is the number of years of flood records and M is the numerical rank of each year’s maximum flood discharge.
Thus, the correct answer is A.
How to calculate the recurrence interval?In eаch of the two аrrаys, the аnnuаl series аnd the pаrtiаl-durаtion series, the tаbulаted floods were numbered in order of their mаgnitude, beginning with the biggest. The recurrence intervаl of eаch flood wаs then computed by the formulа T = (N + 1)/M for determining plotting position, in which T is the recurrence intervаl in yeаrs, M is the relаtive mаgnitude of the flood, аnd N is the totаl number of yeаrs. This formulа is bаsed on the premise that for any number of item (N) in аn аnnuаl series there аre N + 1 intervаls into which аny subsequent flood will fаll.
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A bowling ball with a positive initial velocity slows down as it rolls down the lane toward the pins.
Is the bowling ball’s acceleration positive or negative as it rolls toward the pins? Explain
The bowling ball’s acceleration is positive as it rolls toward the pins.
What is bowling?
One of the most well-liked leisure activities in the world is bowling, sometimes referred to as "tenpins." To knock down ten pins, players roll a large ball down a lane. Many bowlers compete in amateur or professional bowling leagues, and it is regarded as both an individual and a team sport.
Although the ball is descending with a negative velocity, it is slowing down. hence, for the ball to slow down, the velocity must rise. Let the ball's initial speed, for illustration purposes, be -15 m/s. and it is reducing its speed to, say, -13 m/s. This indicates that its speed has increased by 2 m/s. Its acceleration is therefore positive.
Hence, the bowling ball acceleration is positive.
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A 100 g ball and a 200 g ball are connected by a 30 cm long massless rigid rod. The balls rotate about their center of mass at 120 rpm. What is the speed of the 100 g ball?.
The speed of the 100 g ball if the 100 g ball and a 200 g ball are connected by a 30 cm long massless rigid rod and if the balls rotate about their center of mass at 120 rpm is 2.5 m / s
Xcm = m1 r1 + m2 r2 / ( m1 + m2 )
Xcm = Center of mass
m1 = Mass 1
m2 = Mass 2
m1 = 100 g
m2 = 200 g
The center of mass of the two balls measured from the 100 g ball,
Xcm = [ ( 100 * 0 ) + ( 200 * 30 ) ] / ( 100 + 200 )
Xcm = 6000 / 300
Xcm = 20 cm
v1 = r ω
v1 = Speed of m1
r = Distance about which the balls rotate
ω = Angular velocity
r = 20 cm = 0.2 m
ω = 120 rpm
ω = 120 * 2 π / 60
ω = 12.56 rad / s
v1 = 0.2 * 12.56
v1 = 2.5 m / s
Therefore, the speed of the 100 g ball is 2.5 m / s
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If 10mC of charge passes through a battery of 12 V, how much energy is transferred to the charge?
Energy is transferred to the charge is 120J
What is energy?
Energy is a general term that we use frequently in our daily lives. Although the term "energy" is frequently misused, it has a specific physical meaning. In physics, energy is defined as something's ability to accomplish work. Energy can take various forms. All energy is either kinetic or potential. Let us take a closer look at what energy is and the many sorts of energy in this post.
On Earth, there are various types of energy. On Earth, the sun is considered the elemental form of energy. Energy is a quantifiable property in physics that can be transferred from an item to perform work. As a result, we can define energy as the ability to perform any type of physical activity.
According to the laws of energy conservation, "energy cannot be generated or destroyed; it can only be transformed from one form to another." Joule is the SI unit of energy. One of the fundamental rules of physics is the law of energy conservation. It regulates the movements of individual atoms in a chemical process at the microscopic level. According to the rule of conservation of energy, "the entire energy of the system is conserved in a closed system, i.e., a system that is separated from its surroundings." Even when energy transformation happens, the overall energy in a system is conserved, according to the law. Energy can't be created or destroyed.
E = Q X V
E=10X12
E=120J
Therefore, energy is transferred to the charge is 120J
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a simple ideal brayton cycle with air as the working fluid has a pressure ratio of 10. the air enters the compressor at 520 r and the turbine at 2000 r. accounting for the variation of specific heats with temperature, determine (a) the air temperature at the compressor exit, (b) the back work ratio, and (c) the thermal efficiency w/ regeneration od 80%
(a) Compressor discharge air temperature is 557.56K.
(b) Workback rate is 0.502.
(c) Thermal efficiency is 0.482 or 48.2%.
Solution:
The heat added to the air t the compressor is given by
Process 1 - 2 [tex]\frac{T_{1} }{T_{2} } = (\frac{P_{2} }{P_{1} } ) = (\frac{10}{1}) = 1.93[/tex]
Therefore T₂ = T₁ × 1.93 = 288.89 K × 1.93 = 557.56 K
(a) the air temperature at the compressor exit is 557.56 K
(b) The back work ratio is given by T₂ -T₁/T₃ -T₄
For the turbine, we have T₃ /T₄ = (rp) = (10) = 1.93
which gives T₄ = T₃/1.93 = 1111.11/1.93 = 575.705 K
Therefore the back work ratio = [tex]\frac{ 557.56 K -2.88.89k}{1111.11-575.705k}[/tex] = 0.502
(c) The thermal efficiency of a Brayton Cycle is given by
ncycle = [tex]1 -\frac{1}{r-1} = 1-\frac{1}{1.4-1} = 0.482[/tex]
The cycle efficiency = 0.482 or 48.2%
Molecules in a gas move away from each other when heated increasing the space occupied by the gas. As with anything that is pressurized, increasing pressure from the compressor will increase the temperature of the refrigerant. Heat waves are dangerous and can cause illnesses such as heat cramps, heat stroke, and even death. Rising temperatures could also lead to a chain reaction of other changes around the world.
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the frequency of the fundamental of the guitar string is 320 hz . at what speed v do waves move along that string? express your answer in meters per second.
The Speed of waves is 640L.
Given
The frequency of string is 320 Hz.
To find at what speed v do waves move along that string , we can use following equation-
[tex]f=\frac{V}{2L}[/tex]
Frequency means reciprocal of time period , i.e. a parameter that decides quality factor of sound / harmonics.
f , V , L represents frequency , speed and length of string.
[tex]V=2Lf[/tex]
V= 2L(320)
V= 640L
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