A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.
What is work?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.
Given in the question a work of 1294 joules is used to move a ball 100 M then,
Work = force x distance. In units, Joules = Newtons x meters.
So, 1294 = F Newtons x 100 meters
Force , F = 12.94 joules.
A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.
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which of the following statements correctly describe the information provided by quantum numbers? select all that apply.
a. the quantum number "n" indicates the principle energy level of an orbital.
b. the quantum number "l" indicated the shape of an orbital.
c. the relative size of the orbital is indicated by the value of "n"
Statements A and B have correctly described the information provided by quantum numbers.
A. The quantum number "n" indicates the principal energy level of an orbital.
B. The quantum number "l" indicated the shape of an orbital.
In quantum physics and chemistry, quantum numbers describe values of conserved quantities within the dynamics of a quantum system. Quantum numbers correspond to eigenvalues of operators that shuttle with the Hamiltonian—quantities that can be recognized with precision at the equal time as the system's strength—and their corresponding eigenspaces. collectively, a specification of all the quantum numbers of a quantum device absolutely symbolizes a basic kingdom of the system and might in principle be measured collectively.
A crucial thing of quantum mechanics is the quantization of many observable quantities of the hobby. This leads to quantum numbers that take values in discrete units of integers or half-integers; even though they might technique infinity in a few instances. This distinguishes quantum mechanics from classical mechanics in which the values that signify the gadget which include mass, price, or momentum, all vary constantly.
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what its average distance (semimajor axis) from the sun?
The dwarf planet Eris orbits the Sun every 557 years. The average distance (semimajor axis) from the Sun is 67.7 a.u.
A line segment that passes through the center and periphery foci and terminates at the broadest points of the perimeter is known as an ellipse's main axis in geometry. The semi-major axis goes from the center via a focus and out to the periphery since it is one of the main axes. In essence, it is the radius of an orbit at its two farthest points. The radius serves as the semi-major axis for the unique instance of a circle. The semi-major axis can be compared to the long radius of an ellipse.
A line segment associated with most conic sections, such as ellipses and hyperbolas, and which forms right angles to the semi-major axis is known as the semi-minor axis (a semi-minor axis).
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a container is filled to a depth of 18.0 cm with water. on top of the water floats a 25.0-cm-thick layer of oil with specific gravity 0.500. what is the absolute pressure at the bottom of the container?
Thus, P(absolute)=P, where the absolute pressure just at container's bottom is 103983 pa. • [(oil) h(oil) g] + [(water) h(water) g]
where is The exact pressure is?Absolute pressure is defined as any pressure that is found to be greater than zero. It is determined by using a barometer and is determined by adding the atmospheric pressure to the measurement of pressure. the atmospheric pressure in patm. It is approximately 14.7 pounds per single centimeter at sea level.
What does the absolute pressure sign represent?Absolute pressure is a pressure that is in relation to this reference pressure. The index "abs," which comes from the Latin "absolutus," which means unattached and autonomous, is used to distinguish it from other types of pressure.
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16. Energy is transferred by collisions during conduction. What is transferred between the
particles?
a. heat
b. energy
c. radiation
d. germs
Energy is transferred by collisions during conduction and a)heat is transferred between particles.
What is transferred between particles?Conduction heat transfer is the transfer of heat through matter without bulk motion of the matter. We can also say that, conduction is the transfer of energy from the more to less energetic particles of a substance due to interaction between the particles.
Process by which heat energy is transmitted through collisions between neighboring atoms or molecules is called conduction.
In conduction, heat is transferred through the vibration of molecules and as something gets warmer, it increases the vibration and movement of the molecules . Particles are closely packed together and are in direct contact in solids.
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Amed watched a video of someone using a jetpack rocket at a lake. Water is pumped out of the lake into the jetpack, and then the water is fired out of the jetpack, as shown in the picture. The rider is lifted out of the water and can move around over the lake.
Explain to Amed what an action-reaction pair is and which two objects are causing the action reaction pair in this activity
The action - reaction pair as to do with the force of the water and the lifting of the man.
What is the Newton third law?We know that according to the Newton third law of motion, action and reaction are equal and opposite. This implies that when force is exerted on an object, the object would also be able to exert an equal but opposite force on the object.
Having said this, we know that when a force is exerted on the man by the water that is applied, the reaction is that the man would be lifted higher. This is thus the action and the reaction pair that is involved here.
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A car is travelling at a steady velocity of 28 m/s. It accelerates for 6 seconds to overtake a van. Its new velocity is 32. 5 m/s. Calculate the acceleration of the car.
The acceleration of the car is 0.75 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
Calculation:-
v = u +at
a = (v - u)/t
= (32.5 - 28)/6
= 0.75 m/s²
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Mike swings from a vine. At the bottom of the swing, what is the direction of the net force on mike?.
Mike is swinging from a vine. The net force on Mike will be vertical upward at the bottom of the swing.
What is meant by centripetal force?A centripetal force is a force that causes a body to move in a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the path's instantaneous center of curvature.
Mike is on a swing, which means he must take a circle course. In a circular motion, centripetal force acts towards the motion's center, allowing it to travel in that direction.
As a result, the net force at each point on the circular part will be towards the center. The direction of net force will be vertical upward at the bottom position.
Therefore, the net force on Mike will be vertical upward at the bottom of the swing
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Rank in order, from largest to smallest, the currents i1 to i7 at points 1 to 7.
Rank in order, from largest to smallest, the currents i1 to i7 at points 1 to 7 is I₄=I₇>I₁>I₂>I₃>I₄>I₅>I₆
Electric current refers to the perpetual motion of electrons in wire. Electric current for solid conductors is the flow of directed, negative-to-positive electrons from one atom to the next. Electrons and protons travel in the opposite directions in conductors such as liquids and gases where electric current is concerned. Electricity comes in two different forms: direct current (DC) and alternating current (AC) (AC). Electrons move just one way in direct current. DC is generated by batteries. Electrons flow both ways in alternating current. Always moving in the opposite direction are electrons. By convention, the direction of an electric current is the direction that a positive charge would move. Higher electric potential to lower electric potential is the direction in which current flows. Electrons move from a negative potential to a positive potential, and vice versa.
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a car rounds a curve at a steady 50 kph. if it rounds the same curve at 70 kph, will its acceleration be any different?
Yes, as the car's speed rises, the acceleration will also. rate of change of velocity with time, both in terms of speed and direction
What is an effective instance of acceleration?An object has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving car in the first scenario. The acceleration will be in the same direction as that of the car's motion since the vehicle is moving ahead and accelerating.
Does zero acceleration exist?Acceleration is the product of velocity and time. Therefore, velocity must be constant if acceleration is zero. Currently, that constant might be anything, such as 5 m/s. Additionally, a zero velocity also means a zero acceleration.
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A particularly scary roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13. 2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? assume the rider is not strapped to the car.
with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
What is centripetal force?
A net force called a centripetal force keeps an object moving in a circle by acting on it.
Given,
Radius of Loop, r = 13.2 m
without the strap, roller coaster must have complete the loop.
At highest point
weight will provide centripetal force just to complete the loop
Thus mg = mv²/r
where v = minimum velocity possessed by roller coaster in order to cover the loop
v = [tex]\sqrt{gr}[/tex]
v = [tex]\sqrt{9.8 X 13.2}[/tex]
v = [tex]\sqrt{129.36}[/tex] = 13.06 m
Therefore, with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
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With 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
What is centripetal force?
A net force called a centripetal force keeps an object moving in a circle by acting on it.
Given,
Radius of Loop, r = 13.2 m
without the strap, roller coaster must have complete the loop.
At highest point
weight will provide centripetal force just to complete the loop
Thus mg = mv²/r
where v = minimum velocity possessed by roller coaster in order to cover the loop
v = √9r
v = √9.8×13.2
v = √129.36 = 13.06 m
Therefore, with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
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why never go over the speed limit? a train overturned on a curve in pennsylvania 1947. ten train cars derailed, and 24 people died. the center of gravity was 80 inch above the rail. the wheels were 56 inch apart. the turn radius was 206 m. the speed limit on the curve was 30 mph
A train overturned on a curve in Pennsylvania in 1947. Ten teach automobiles derailed, and 24 people died. The center of gravity changed to eighty inches above the rail.
Pennsylvania is one of the 50 states in the USA of us. it is within the northeastern part of the u. s. It has a border with Ohio at the west, West Virginia at the south and west, Maryland and Delaware at the south, New Jersey at the east, and ny and Lake Erie at the north. Pennsylvania.
Pennsylvania is home to Independence hall in Philadelphia, wherein the constitution and assertion of Independence had been adopted. it is also regarded for its various geography, together with the Appalachian mountains and the Susquehanna river.
Pennsylvania is the simplest original colony now not bordered by the Atlantic Ocean. Benjamin Franklin based the Philadelphia Zoo, the primary public zoo in Indiana County is the Christmas Tree capital of the sector. Actor Jimmy Stewart became born and raised in the metropolis of Indiana.
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Find the minimum initial height h at which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Express the minimum height in terms of r.
In this case if the velocity is too low, it might not feel a normal force at all, which means losing contact with the track.
How do we find the minimum height in terms of r.
Initial height can be defined as the minimum height attained by any object during its motion.
Using the energy conservation found in the first part, we can calculate the minimum height.
mgh = mg2R+ ½ mv2
mgh = mg2R + ½ m(gR)
gh = g2R + ½ (gR)
h = 2R + ½ R
h = 5 R/ 2
Hence, the given height will be h = 5 R/2.
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A wire of resistivity rho must be replaced in a circuit by a wire of the same material but four times as long. If, however, the total resistance is to remain as before, the diameter of the new wire must.
If the total resistance is to be same, then the diameter of the new wire should be two times of the replaced wire.
The resistance of a wire is given by,
R = 4pL/πd²
Where,
R is the resistance,
p(rho) is the resistivity,
L is the length of the wire,
d is the are diameter of the wire.
The length of the replaced wire is four time of the previous wire and it is made up of same material. So, the resistivity will be same and it is said that the resistance has to be same,
So, we can write the new diameter d' in the relation as,
R = 4p4L/π(d')²
d'² = 4(4pL/πR
Putting, (4pL/πR) = d²,
d'² = 4d²
d' = 2d
The new diameter has to be two times of the previous diameter.
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hand instruments are designed with three specific parts. the three parts include the handle, shank, and:
Three distinct components are used in the design of hand instruments. The working end, shank, and handle are the three components. The handle, the shank, and the blade are the three parts of hand tools.
and the operational end. a dental hand instruments three components. Handle Where the operator holds or grasps the hand instruments is at the handle part. a device or implement that is used to perform or make labour easier, especially a small, specialized tool used by a professional: sanitized the shank and other working end. a tool for measuring, recording, or controlling, The part of the tool with a specified purpose is referred to as the working end. A point, blade, or nib may be present on this end. Whenever an instrument has a nib.
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a square coil, enclosing an area with sides 6.4 cm long, is wrapped with 3,038 turns of wire. auniform magnetic field perpendicular to its plane is turned on and increases to 0.47 t during aninterval of 1.2 s. what is the magnitude of the induced voltage in the coil?
The magnitude of the induced voltage in the coil is 2.06 V, 1.54 rad/s and perpendicular is 0.141 uA.
What is magnetic field?
The magnetic field is the region where the force of magnetism acts on a magnetic substance or a moving electric charge. a magnetic field diagram that shows how the magnetic force is distributed both inside and outside of a magnetic material.
What is magnitude?
Magnitude is "distance or quantity," to put it simply. It displays an object's size or motion in either an absolute or relative sense. It is a means of describing the size or breadth of something. Magnitude typically refers to a length or a size.
A=(6.9*10^-2)^2 =4.761*10^-3 m^2
E=NAB/t
E=3064*0.24*4.761*10^-3/1.7
E=2.06 V
A=L^2 =(2.43^2-0..51^2)=5.6448
E=(1/2)BAW
W=2E/BA
W=2*6.5/(1.5*5.6448)
W=1.54 rad/s
B=uoI/2pid =(4pi*10^-7)*9/2pi*13
B=1.3846*10^-5 T
E=BLV =1.3846*10^-5*0.7*0.2
E=1.94*10^-6 V
I=E/R =1.94*10^-6/13.8
I=0.141 uA
Therefore, the magnitude of the induced voltage in the coil is 2.06 V, 1.54 rad/s and perpendicular is 0.141 uA.
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equal amounts of heat are added to equal masses of aluminum and iron at the same initial temperature. which metal will have the higher final temperaturem and how much greater will that temperature change be than th etemperature change of the other metal?
After using the heat capacity 1130220 J temperature change be than the temperature change of the other metal.
What is heat capacity?
A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature. J/K is the metric unit for heat capacity. A broad property is heat capacity.
Q = m c dT
for constant heat, increased temperature observed in the material of lower heat capacity.
so the silver will be the correct answer.
dTs / dTa = 0.9 / 0.233 = 3.86
Q = 3* 4186* (90 - 0)
Q = 1130220 J
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during a hockey game, a puck is given an initial speed of 10 m/s. it slides 50 m on the horizontal ice before it stops due to friction. what is the coefficient of kinetic friction between the puck and the ice? group of answer choices 0.40 0.20 0.50 0.30 0.10
The coefficient of kinetic friction between the puck and the ice is 0.10
What is the coefficient of kinetic friction?
It is the ratio of the friction force to the normal force experienced by a body moving on a dry, non-smooth surface.
How to calculate the coefficient of kinetic friction?
v²-u²=2as
0-(10)²=2*a*50
a = 1m/s²
F = uN (N=mg)
ma = umg
u = a/g = 1/9.8 = 0.10
Therefore, the coefficient of kinetic friction between the puck and the ice is 0.10
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put the following forms of electromagnetic radiation in order of increasing wavelength: clear all infrared visible microwave shortest wavelength second longest wavelength longest wavelength
The following forms of electromagnetic radiation in order of increasing wavelength: clear all infrared visible microwave shortest wavelength second longest wavelength longest wavelength visible<infrared<microwave.
In physics, the wavelength is the spatial period of a periodic wave—the gap over which the wave's form repeats. it is the distance between consecutive corresponding points of the identical segment at the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of both touring waves and standing waves, in addition to other spatial wave styles. The inverse of the wavelength is known as the spatial frequency. Wavelength is generally detailed with the aid of the Greek letter lambda (λ).
The term wavelength is also every now and then applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed by means of interference of numerous sinusoids. Assuming a sinusoidal wave moving at a hard and fast wave speed, wavelength is inversely proportional to frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.
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two pole-vaulters just clear the bar at the same height. the first lands at a speed of 7.41 m/s, while the second lands at a speed of 7.71 m/s. the first vaulter clears the bar at a speed of 0.749 m/s. ignore air resistance and friction and determine the speed at which the second vaulter clears the bar.
The second vaulter clears the bar at speed of 7.43 m/s.
Velocity is the directional speed of an item in motion as an indication of its price of change in role as located from a particular body of reference and as measured by a specific general of the time.
The velocity of the first vaulter at jump v1 = 7.50 m/s
Horizontal component of v1 v1x = v1 * cos ?1
1.00 = 7.50 * cos ?1
?1 = cos-1 (1.00 / 7.50
= 82.340
Hence vertical component v1y = v1 * sin ?1
= 7.5 * sin 82.340
= 7.43 m/s
Since both vaulters rise to the same height, their initial vertical velocity is the same. i.e.
v2y = v1y = 7.43 m/s
then v2y = v2 * sin ?2
?2 = sin-1 (7.43 / 7.70)
given v2 = 7.70 m/s
= 74.780
Hence velocity of the second vaulter as he clears the bar v2x = v2 * cos ? 2
= 7.70 * cos 74.780
= 2.02 m/s
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the work done by a spring depends on ________.
Answer:
the change in length of the spring.
Explanation:
E = W = 1 ⁄ 2kx²
The amount of work the spring performs is influenced by its length change. Equal amounts of compression and extension result in the same amount of work being completed by the spring.
The diameter of the coil turns, the number of turns per unit length, the total length of the spring, and the stiffness of the spring material will all affect the spring constant. It also depends on the thickness of the wire from which the spring is wound. Work performed by a Spring: When a spring is extended or compressed, it applies force to the object that is doing the stretching or compression. It is possible to employ this force to convert an object's energy into elastic potential energy.
Let's lengthen the spring a little way, say d x dx dx. If F is the force used to stretch the spring, then the work involved in doing so is given by the equation d W = F d x, dW=Fdx, and dW=Fdx.
Positive work is produced when a spring is stretched or compressed. Reason: When force is applied and displacement is in the same direction, work is said to be positive.
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A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.
Why would the astronomer in charge have little trouble fulfilling his request after a white dwarf cools off it becomes too cold and dark to emit visible light.
What is a white dwarf?
White dwarfs are stars like the Sun after they have used up their nuclear fuel. Toward the end of its nuclear combustion stage, this type of star ejects most of its outer material, creating a planetary nebula. Only the hot core of the star remains. This core becomes a very hot white dwarf, with temperatures exceeding 100,000 Kelvin.
Unless the material is accreted from a nearby star (see Cataclysm Variables), the white dwarf cools in about the next billion years. Many nearby young white dwarfs have been detected as sources of soft, or lower energy, X-rays. More recently, soft and ultraviolet X-ray observations have become powerful tools in studying the composition and structure of the thin atmospheres of stars.
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A 40. 0-kilogram child exerts a 100. -newton force on a 50. 0-kilogram object. The magnitude of the force that the object exerts on the child is.
The magnitude of the force that the object exerts on the child is 100 N.
Calculation:-
mass of object = 50 kg
Force exerted by child = 100 N
From newton's third law of motion, equal and opposite force is applied.
Hence, force the object exert is same 100 N.
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e, to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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a mass-spring-damper system has a mass of 100 kg. its free response amplitude decays such that the am- plitude of the 31st cycle is 20% of the amplitude of the 1st cycle. the system takes 60 seconds to complete 30 cycles. estimate the damping constant c and the spring constant k.
The oscillator's mass (m) and stiffness (k) are used to calculate the critical damping coefficient (cc) using the following formula: cc = 2(km).
The mass is increased to the starting amplitude position A0 before being let go. In a fluid with viscosity, the mass oscillates about the equilibrium position, but the amplitude gets smaller with each oscillation. According to this website, the formula for the damping force,
Fd, is Fd=-cv,
=100 * 60/30
=600
where c stands for the damping coefficient and v for the velocity. According to Hooke's Law, a spring's force is proportional to how far it has moved from its rest position. Where F is the force applied by the spring, F = -k * x x
is the displacement of the spring from rest in meters, and k is the "spring constant."
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An electron is moving in a circular orbit in a uniform magnetic field. Is the kinetic energy of the electron changing? select the correct answer and explanation.
No, the kinetic energy of the electron will not change.
The relationship of electron moving in a circular orbit in a uniform magnetic field:The electron receives no work from the magnetic force. In actuality, the magnetic force's work is provided by:
where F is the magnetic force, d is the electron's displacement, and is the angle between the force's direction and the electron's motion.
However, because the magnetic pull is always perpendicular to the charged particle's direction and velocity, there is no work done.
The work-energy theorem states that the change in an electron's kinetic energy is equal to the work that has been done on it; therefore, because there has been no work done, the electron's kinetic energy has not changed.
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an object travels down a ramp at a constant acceleration. the object experiences a force of friction and a gravitational force. which of the following could be true about the motion of the object?
Option B. The force of friction between the surface and the object is less than the component of the gravitational force that is parallel to the ramp.
The force of friction between the floor and the item is less than the thing of gravitational pressure this is parallel to the ramp; If the item improved in mass, the item's acceleration would exchange.
Friction is the shape of touch stress. It exists between the surfaces that are in contact. The frictional force relies upon the person on the ground in contact. The rougher the floor, the extra friction is concerned. The frictional force is proportional to the urgent stress, that is the burden of the body. it's miles impartial of the region of the contact.
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Disclaimer:- your question is incomplete, please see below for the complete question.
a. The force of friction acts in the same direction as the object travels.
b. The force of friction between the surface and the object is less than the component of the gravitational force that is parallel to the ramp.
c. If the object increased in mass, the object's acceleration would change.
d. If the object increased in mass, the normal force exerted on the object would remain the same.
an object having an initial momentum that may be represented by the vector below strikes an object that is initially at rest. which of the following sets of vectors may represent the momenta of the two objects after the collision? note carefully: the original vector above and the following vectors are all drawn to the same length scale.
The sets of vectors that may represent the momenta of two objects after the collision is shown in the image attached.
If a moving object strikes an object at rest at an angle, after collision both the objects will move at right angles to each other. The final momentum vector may or may not be same in magnitude. If the moving object strikes the stationary object head on instead of at an angle, the moving object will become stationary and the stationary object will follow the moving object path. In this scenario both the objects are considered to have same size and mass.
If the object have different size, they bot will move at different velocities. If the moving ball is bigger, they both will move in the same direction. If the stationary ball is bigger, the stationary ball will follow the path of moving ball and the moving ball will go in exactly opposite direction.
Therefore, the sets of vectors that may represent the momenta of the two objects after the collision is shown in the image attached.
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Answer:
One arrow slightly up and to the right; one arrow slightly down and to the right.
Explanation:
Look at the picture.
Plants Have hormones/
Yeah. Plants have hormones. There are five major types of plant hormones: auxins, cytokinins, gibberellins, ethylene, and abscisic acid.
-_-
The density of a cube that measures 1. 00 cm on each side and has a mass of 2. 0g is __.
The density of a cube that measures 1. 00 cm on each side and has a mass of 2. 0g is 2 g/cm³.
calculation:-
length of each side = 1 cm
The volume of a cube = length × breath × height
= 1 × 1 ×1
= 1 cm³
mass = 2 g
Density = mass/ volume
= 2/1
= 2 g/cm³
Density is the substance's mass consistent with the unit of quantity. The symbol most customarily used for density is ρ, despite the fact that the Latin letter D can also be used. Density is the size of ways tightly a cloth is packed together. it's far defined as the mass consistent with unit quantity.
ρ = m/V, wherein ρ is the density, m is the mass of the item and V is the quantity of the object.
The density is of two types, one is absolute density, and the alternative is relative density. Relative density is also called unique gravity, which is the ratio of the density of a material to the density of a reference material. typically, the reference fabric is water.
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The gravitational field of the Moon is weaker than that of the Earth. It
pulls on each kilogram of mass with a force of 1.6N. What will be the
weight of a 50kg mass on the Moon? [4]
The weight will be 80N.
Given :- Weak Gravitational field of moon relative to earth ,
F=1.6N
To find : Weight of a 50Kg mass on Moon .
Principle - Weight and mass although sounding same has different roles in Physics . Mass is the amount of matter that is utilized to build a material while talking about weight means its inclusive of an exertion of earth with the application of mass. Mathematically weight w= mg [Product of mass and gravity ]
Now in this question using basic unitary method we can resolve the ask of question. For example cost of one pen is 2rupee then cost of 2 pens is 4 rupees.
Reasoning- As per question , weight of 1 kg = 1.6N
so weight of 50Kg= 1.6 x 50⇒80N
Hence the amount of 80N equivalent weight is computed.
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A simple pendulum consisting of a 1. 0m long string and a 0. 20kg bob is pulled to the side so that the string makes an angle of 20° with the vertical. If the gravitational potential energy of the bob-earth system is zero at the lowest point of the pendulum’s arc, the angle at which the gravitational potential energy of the bob-earth system is equal to the kinetic energy of the bob is most nearly.
The mechanical energy can be calculated by the sum of the kinetic energy and the potential energies, θ = 9.8º
here, the case that there is no friction, this energy is constant
The kinetic energy is: K = ½ m v²
The potential energy is: U = m g (y-y₀)
The mechanical energy is Em = K + U
Where we know,
m is mass
v is linear velocity
g is the acceleration of gravity
y height.
The formula for simple harmonics motion for small angles -
θ = θ₀ cos (wt + Ф)
here,
θ is the angle of motion
w is the angular velocity
t time
Ф a phase constant
This indicate the system that has a length of
l = 1.0 m
which is released at the angle of θ₀ = 20º (π rad / 180º) = 0.349 rad
Velocity is defined by the change in position or angles with respect to time.
w = -θ₀ w sin (wt + Ф)
we know, initial movement for
time t = 0 the velocity = 0
0 = - θ₀ w sin Ф
The angular velocity is given as
w² = g / l ( g = 9.8)
w = 3.13 rad/sec
Expression for the energies
K = ½ m v²
Linear and angular variables are related.
v = w l
calculations,
K = ½ m l² w²
the expression for the angular velocity.
K = ½ m l² ( -θ₀ w sin wt) ²
for the potential energy, where we make the initial height = 0
U = m g θ₀ cos wt
kinetic energy = potential energy
K = U
½ m l² θ₀² w² sin² wt = m g θ₀ cos wt
when we solve this, we get
θ = wt
when we calculate,
sin² θ = 29.8/ 1^20.3493.13^2
sin² θ = 5.73 cos θ
The solution of
θ' = 1.4 + 2π n n= 0, 1, 2, ...
First occurs for n = 0
θ = 1.40 rad = 80.2º
angle measured from vertical components-
θ = 90- 8.02
θ = 9.8º
we can say, by taking in account of definition of energy and simple harmonics motion, we can find the results for point at which KE and PE is equal.
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