After 45 hours, the plant's height is 2.25 cm.
Given:The bamboo plant is 2.1 cm tall after 40 hours.
The bamboo plant has grown to a height of 2.4 cm after 50 hours.
Bamboo plant height after 45 hours =?
40 and 50 hours are separated by 2.4 to 2.1 cm.
= 0.3 cm
50 divided by 40 equals 45.
The height will therefore increase by 0.3/2 = 0.15 cm after 45 hours.
Height at 45 hours is equal to 2.25cm (2.1 + 0.15cm).
As a result, the plant is 2.25 cm tall after 45 hours.
How much bamboo grows each hour?1.5 in. per hour
Some bamboo species have been known to grow up to 2.91 feet every day, or 1.5 inches per hour, according to Guinness World Records! .
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which of the following would be the closest estimate to the number of times the sun has orbited the galactic center?
The closest estimate to the one times the sun has orbited the galactic center.
The Milky Way galaxy's rotational and barycenters are located at the Galactic Center . The Sagittarius A supermassive black hole, a compact radio source that is almost exactly at the galactic rotational center, is the object's central massive object. It has a mass of about 4 million solar masses. The Galactic Center is frequently referred to as a type of "cosmic homing signal" by astrologers. Far away on one of the spiraling arms of the galaxy, it is the hub around which our tiny solar system slowly revolves. It is enormous and unknowable. Whatever process produced the Milky Way is represented by the GC. The most difficult conditions for star formation can be found in the Galactic Center, which has more than 80% of the Milky Way Galaxy's dense molecular gas, high temperatures, significant turbulence, complex magnetic fields, and a powerful gravitational potential well.
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When the temperature of a gas is increased from 27° the average speed of the molecules increases three-fold. Calculate the final temperature of the gas. (prove by calculation)
The final temperature of the gas is obtained as 2700 K or 2472° C.
What is the relationship between the speed of the gas and the temperature?We know that when the temperature of a gas is increased, the speed of the gas is also increased. Given that we have the initial temperature of the gas as 27° C or 300 K.
Given that;
[tex]V_{1}[/tex]/[tex]V_{2}[/tex] = √[tex]T_{1}[/tex]/[tex]T_{2}[/tex]
Where the [tex]V_{1}[/tex] and [tex]V_{2}[/tex] refers to the initial and the final velocities while the [tex]T_{1}[/tex] and the [tex]T_{2}[/tex] refer to the initial and the final temperatures.
[tex]V_{1}[/tex]/3 [tex]T_{1}[/tex] = √300/ [tex]T_{2}[/tex]
1/3 = √300/ [tex]T_{2}[/tex]
1/9 = 300/ [tex]T_{2}[/tex]
[tex]T_{2}[/tex] = 2700 K or 2472° C
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Obtain an expression for fringe width with diagram.
Hope this above expression for fringe width helps you.
Answer:
Explanation:
To obtain an expression for fringe width, we need to consider the phenomenon of interference in wave patterns, such as in the case of Young's double-slit experiment. In this experiment, a coherent light source, such as a laser, is passed through two closely spaced slits, creating an interference pattern of light and dark fringes on a screen placed behind them.
The fringe width (w) can be determined using the following expression:
w = λ * D / d
Where:
- λ represents the wavelength of the light used,
- D is the distance between the double-slit and the screen,
- d is the separation between the two slits.
The diagram accompanying this explanation would illustrate a coherent light source passing through the double slits, with the resulting pattern of light and dark fringes observed on the screen placed behind them. The distance D between the double-slit and the screen, as well as the separation d between the slits, would be indicated in the diagram.
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Look at the diagram below. What is the total resistance of the resistors in this circuit?
The total resistance of the resistors in the circuit from the diagram is 20 Ω.
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit.
To calculate the total resistance of the resistors in parallel, we use the formula below.
Note: Both resistors are connected in series.
Formula:
For series connection
R = R₁+R₂................ Equation 1Where:
R = Total resistance of the resistor in the circuit.From the diagram,
Given:
R₁ = 10 ΩR₂ = 10 ΩSubstitute these values into equation 1
R = 10+10R = 20 ΩHence, the total resistance is 20 Ω.
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2. A ball is projected with a velocity of 50m/s at an angle of 53° to the horizontal
Calculate:
A. The time of flight of the ball.
B. The range and
C.The maximum height
The time of flight is 0.4 sec, The range is 1.6 m and maximum height is 3.2 meter.
Calculation:-
The initial vertical speed is u = 5m/s×sin53° = 4m/s
Time of flight = u/g
= 4/10
= 0.4 second
so if the final vertical velocity is v at a height h then v² = u² −2gh will give us v = [tex]\sqrt{16-20*0.45} = \sqrt{7} m/s[/tex]
The horizontal velocity remains constant and is given as Vx = 5m/s Cos53° = 3m/s
so the speed at the said instant will be V = [tex]\sqrt{v_{x} ^{2} +v^{2} } = \sqrt{9+7} = 4m/s[/tex]
Range = horizontal velocity× 0.4 second
= 4 × 0.4
= 1.6 m
Height = UT- 1/2at²
= 1.6 - 0.4 × 10 × 0.16
= 3.2 m
The horizontal velocity of the projectile is constant. There is the vertical acceleration due to gravity. Its value is 9.8 m/s/s, and the projectile's vertical velocity changes at 9.8 m/s per second. The horizontal movement of the projectile is independent of vertical movement. Horizontal acceleration is always zero because nothing accelerates the projectile horizontally.
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1. describe the sounds of each of the following heart valves in terms of intensity (loudness,) pitch (frequency) and duration (length). begin with the aortic valve and compare others to it. this is a subjective description.
The sounds of each of the following heart valves in terms of intensity (loudness,) pitch (frequency) and duration (length) is mentioned below
1. First heart sound
Heard dull. Described as LUB.At the beginning of the ventricular systole Frequency: 30-80 cpsVaries from 0.09 to 0.16 second.2. Second Heart sound
Sharp, described as DUBAt the end of ventricular systole Duration 0.11 secFrequency- 150 to 200 cps.Due to closure of semilunar valves.3. Third heart sound
Heard often. Weak and rumbling in nature. Frequency below 40 cpsDuration 0.04secHeart as lub-dub-ta4. Fourth heart sound
Weak and rumbling. When atria contracts Frequency- 20cpsTherefore, the sounds of each of the following heart valves in terms of intensity (loudness,) pitch (frequency) and duration (length) is mentioned above
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please match the luminosity class to the description. not all answers will be used.-these extremely luminous stars are among the largest ever observed and represent the very short-lived old age phase of high mass stars.-these luminous stars represent the short-lived old age phase of low mass stars. when our sun hits this phase, it could become large enough to engulf the earth.-this phase represents the longest stage of a star's life. this luminosity class has stars with a large range in temperature (hottest to coolest) and luminosity (brightest to dimmest), but they are all bound by one common trait: they are powered by hydrogen fusion only in the core of the star.
The core of a red giant is contracting, but the outer layers are expanding as a result of hydrogen fusion in a shell outside the core
Nuclear fusion of hydrogen to form helium happens evidently in the solar and different stars. It takes area best at extremely high temperatures. Scientists are attempting to find methods to create controlled nuclear fusion reactions on earth.
Researchers at Lawrence Livermore countrywide Laboratory's country-wide Ignition Facility in California have spent over a decade perfecting their method and the feature now showed that the landmark test conducted on eight August 2021 did, in fact, produce the primary-ever successful ignition of a nuclear fusion reaction.
People had been capable of cause fusion, but in methods that might be uncontrolled, like in thermonuclear guns sometimes called hydrogen bombs. Fusion has additionally been proven in laboratories, but below conditions that eat a long way, extra strength than the reaction produces.
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a system gains 612 kj of heat, resulting in a change in internal energy of the system equal to 246 kj. how much work is done?
The total work done if a system gains 612 KJ of heat, resulting in internal energy of the system equals to 246 KJ would be -366 KJ
What is the internal energy of the system?
Internal energy can be defined as the property that defines the energy of a substance in the absence of effects due to capillarity, external electric and magnetic fields
In the above case
Let Change in internal energy ΔU = 246 kJ
Let Heat gained by the system (q) = 612 kJ
Using the First law of thermodynamics
ΔU = q + w
Where:
ΔU represent change in internal energy
q represents heat added to the system
and w is work done.
Let plug in the formula
246 kJ = 612 kJ + w
w = 246 kJ - 612 kJ
w= - 366 kJ
Here the negative sign means that work is done by the system.
Therefore, The total work done if a system gains 612 KJ of heat, resulting in internal energy of the system equals to 246 KJ would be -366 KJ
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Help, fast!
If you have an 18 Ohm light bulb connected to a 9.0 V cell, what is the current in the circuit?
Answer:
Explanation:
Given:
R = 18 Ohm
U = 9.0 V
__________
I - ?
Ohm's law:
I = U / R
I = 9.0 / 18 = 0.5 A
30. An applied force of 60 N is used to accelerate a 50 N object to the right across a frictional surface. The object
encounters a 20 N of friction. Determine the coefficient of friction
a. 0.4
b. 2.5
c. 0.83
d. 3
Mu'
Coefficient of friction is calculated to be 0.4. Therefore, a) will be the correct answer .
What do you mean by frictional force ?Frictional force is that force which is generated by two surfaces that contact and slide against each other. Factors affecting the frictional force are the surface texture and the amount of force impelling them together.
The frictional force is said to be a contact force as frictional force occur when two surfaces come in contact with each other.
Given applied force = 60 N
weight of object = 50N; friction force = 20N
As we know that, Coefficient of friction = force of friction/normal force
= 20/50
Coefficient of friction = 0.4
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What is the average speed in mph for a car that travels 400 miles in 5 hours and 20 minutes?.
For an automobile to cover 400 miles in 5 hours and 20 minutes, it must travel at an average speed of 75 mph.
What is the typical speed?Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed during the course of a journey.
What drives us to determine average speed?Average In order to comprehend the pace of a journey, speed is crucial. On a travel, the speed could occasionally change. Finding the average speed then becomes crucial to getting an idea of how quickly the route will be finished.
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One of the tallest buildings in the world is the taipei 101 in taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15. 5°c. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the taipei 101 is 0. 471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?.
Since a bar of length L₀ with a thermal expansion coefficient would experience a length fluctuation ΔL when the temperature changes ΔT, the equation of linear thermal expansion ΔL = ∝LΔT must be used.
The linear thermal expansion equation tells us that a ΔT = (ΔL/∝L₀) = 22.14° based on the following values: ΔL = 0.481 foot, L₀ = 1671 feet, and ∝ = 0.000013 per centigrade degree (this is simply the linear thermal expansion of steel that must be found in a table). As previously stated, these degrees are centigrades (Celsius or Kelvin, it makes no difference as this is merely a variation), and the foot units cancel on the equation, demonstrating that no additional conversion was required.
Our new temperature must be T = T₀ + ΔT = 35.14°C because our last reading on a chilly spring day was 13.0°C.
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12. Define aerobic capacity. How does it relate to cardiorespiratory endurance?
which of the statements below best describes longshore current? group of answer choices outgoing swash moves perpendicular to the beach. incoming backwash of water moves parallel to the beach. sand moves parallel to the beach. incoming swash of water moves parallel to the beach.
The statement which describes the longshore current is d.) incoming swash of water moves parallel to the beach.
What is a longshore current?
When the waves reach a beach, it liberates a large amount of energy that is usually generates a current and runs parallel to the shore. Such type of current is said to be longshore current.
Sea floor, shoreline features and depth of the water are the main factors on which the speed of the waves reaching the shore depends. The waves make their movement towards the beach where various segments of wave itself encounters before other and this results the segments to slow down. They do not reach the beach perfectly parallel to the shoreline. But when we talk about the longshore current, it moves parallel to the coastline or beach.
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A 200 N object is resting on a surface with a maximum coefficient of static friction s = 0.15. A person pushes horizontally with a force of 20 N. Calculate how much force the push needs to be in order to get the object to start moving across the floor.
More than 30 N force needs to be in order to get the object to start moving across the floor.
F=μN
μ= 0.15
N= 200 N
F=200 N×0.15
F=30 N
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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Toy cars 1, 2, and 3 are launched horizontally with the trajectories shown below. Cars 1 and 2
are launched from a 15 m high cliff, while Car 3 is launched from a 30 m high cliff. We can
ignore air friction.
Initial launch speed of the cars are in order as Vcar 1 = Vcar 2< Vcar 3
Speed (often abbreviated as "s") is a scalar variable that describes how much an object's location changes over time or how much it changes per unit of time. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period.
Time divided by distance are the speed-related metrics.. The meter per second (m/s) is the SI unit of speed, while the kilometer per hour (kph) is the most often used unit of speed in daily life.
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You can have refraction without dispersion, but you cannot have dispersion without refraction. Explain why
Answer:
Explanation:
Because dispersion is a property of refraction. A refractive medium is non-dispersive when waves of all frequencies pass at the same speed, otherwise there is a dispersion that is causing a distortion of waveforms.
bob and bill have the same weight and wear identical shoes. keeping both feet flat on the floor and the body straight, bob can lean over farther than bill can before falling. whose center of gravity is closer to the ground? account for your answer.
The taller individual must have reclined less than the smaller man because their shoes are the exact same size (leaning in terms of angle of body made with the ground). Bob's center of mass is consequently located closer to the ground.
what is centre of mass?
A position established in relation to an individual or group of items is the center of mass. It represents the system's average location as weighted by each component's mass. The center of mass for straightforward stiff objects with homogeneous density is found at the midpoint.
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The taller individual must have reclined less than the smaller man because their shoes are the exact same size (leaning in terms of angle of body made with the ground). Bob's center of mass is consequently located closer to the ground.
What is centre of mass?
In physics, the centre of mass of a distribution of mass in space (also known as the balancing point) is the unique location at which the weighted relative position of the dispersed mass accumulates to zero. This is the point at which a force can be applied to generate a linear acceleration without causing an angular acceleration. Calculations in mechanics are frequently simplified when expressed in terms of the centre of mass. It is a hypothetical point at which the entire mass of an item can be considered to be concentrated in order to visualise its motion. In other words, the centre of mass is the particle equivalent of a particular object for the purposes of applying Newton's equations of motion.
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If a 50 kg object is at a location 25,600 km from Earth's center, what is the gravitational force exerted by the object on earth? In what direction does that force act?
The item is pushing against it with a force of 30.4 N in a downward direction.
What would the weight of a 50 kilogram object be at the Earth's core?Since there is no net gravitational pull in the earth's center, the weight will be zero but the mass will not change. Thus, 50 kg will be the mass of the earth's core.
When two objects of mass M1 and M2 are separated by R, the gravitational force between them is expressed as follows:
F = G*(M1*M2)/R^2
G = 6.674*1(-11) m3/(kg*s2), where G is the gravitational constant.
M1, the object's mass, is 50 kg, and R is its distance, in.
F = G*(M1*M2)/R^2
G = 6.674*1(-11) m3/(kg*s2), where G is the gravitational constant.
M1, the object's mass, is known to be 50 kg.
This distance, R, is 25,600 kilometers.
However, keep in mind that this should be stated in meters and
1km = 1000m
Consequently, 25,600km equals (25,600*1000)m, or 25,600,000 m.
M2 is the equivalent of 5.972*10(24) kg, which is the mass of the Earth.
F = (6.674*1(-11) m3/(kg*s2))*(50kg*5.972*10(24) kg)/ (replacing all of those in the force equation) ( 25,600,000 m)
^2\sF = 30.4 N
Given that the gravitational force is attracting, it will act in a manner that is favorable to the 50 kg item.
Consider the following as the second Newton's law:
F = M*a
Accordingly, the acceleration brought on by the item on Earth is 30.4N = 5.972*10(24) kg*a
a = 30.4N/((5.972*10(24) kg)) = 5.09*10(-24) m/s
Nearly everyone can feel the acceleration.
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A 53 kg person is being dragged in their sleeping bag to the lake by a 476 N force at an angle of 40 degrees. If the coefficient of friction between the sleeping bag and the ground is 0.37:
a.) What is the force of gravity acting on the person?
b.) What is the normal force acting on the person? (Use net force in y-direction)
c.) What is the force of friction acting on the person?
d.) What is the acceleration of the person in the sleeping bag?
(a) The force of gravity acting on the person is 519.4 N.
(b) The normal force acting on the person is 519.4 N.
(c) The force of friction acting on the person is 192.18 N.
(d) The acceleration of the person in the sleeping bag is 3.25 m/s².
What is the force of gravity acting on the person?
The force of gravity acting on the person is calculated as follows;
W = mg
where;
m is the mass of the persong is acceleration due to gravityW = 53 kg x 9.8 m/s²
W = 519.4 N
The normal force acting on the person is calculated as follows;
Fn = W
where;
Fn is the normal force on the person acting upwardsW is the weight of the person acting downwardsFn = 519.4 N
The force of friction acting on the person is calculated as follows;
Ff = μFn
where;
μ is coefficient of frictionFn is normal forceFf = 0.37 x 519.4 N = 192.18 N
The net force on the person is calculated as follows;
F(net) = F cosθ - Ff
where;
F cosθ is the force applied along the horizontalFf is force of frictionF(net) = 476 x cos(40) - 192.18
F(net) = 172.46 N
The acceleration of the person in the sleeping bag is calculated as follows;
a = F(net) / m
a = (172.46) / (53)
a = 3.25 m/s²
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A wooden block resting on a table is given a push. Which of the following describe the motion of the block a moment after the push
Continues at a constant speed for a while, then slows down
O Slows down gradually to a stop
Accelerates at a positive, constant rate
O Moves at a constant speed
Acceleration will be constant while speed will not. The third option describes the motion.
What is Force ?Force can simply be defined as a pull or push. It is the product of mass and velocity and it is measured in Newton.
If a wooden block resting on a table is given a push, the block of mass m will accelerate with acceleration a and stop due to friction
One of the following options that describe the motion of the block a moment after the push is the third option. That is, accelerates at a positive, constant rate.
Since the block will be accelerating, the speed of the block can never be constant.
Therefore, accelerates at a positive, constant rate is the option that describe the motion of the block a moment after the push.
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an satellite is said to be in geosynchronous orbit if the period of its orbit is equal to the period of rotation of the star or planet. for a satellite in geosynchronous orbit around the neutron star, what is its distance from the surface of the star?
Such an orbit places a satellite at a height of around 35,786 km (22,236 mi) above mean sea level. At relation to the surface of the Earth, it remains in the same place.
A prograde, low-inclination orbit with a period of 23 hours, 56 minutes, and 4 seconds is known as a geosynchronous orbit (GEO). Even if it may seem to move north and south, a spacecraft in geosynchronous orbit appears to stay above Earth at a constant longitude.
what is geosynchronous orbit?
The word "geosynchronous" describes the satellite's orbital period, which allows it to be in phase with the rotation of the Earth ("geo-"). In addition to the criteria for orbital time, the satellite must also be situated in an orbit that places it close to the equatorial in order to qualify as geostationary.
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Such an orbit places a satellite at a height of around 35,786 km (22,236 mi) above mean sea level. At relation to the surface of the Earth, it remains in the same place.
What is geosynchronous orbit?
The word "geosynchronous" describes the satellite's orbital period, which allows it to be in phase with the rotation of the Earth ("geo-"). In addition to the criteria for orbital time, the satellite must also be situated in an orbit that places it close to the equatorial in order to qualify as geostationary.
A prograde, low-inclination orbit with a period of 23 hours, 56 minutes, and 4 seconds is known as a geosynchronous orbit (GEO). Even if it may seem to move north and south, a spacecraft in geosynchronous orbit appears to stay above Earth at a constant longitude.
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if the sun had been born with a smaller, lower-mass companion star, would that star be a red dwarf today or would it already be dead?it would still be a red dwarf today regardless of how much less mass than the sun it has, since its lifetime would be inherently longer than the sun'sit would be a red dwarf today only if it had much less mass than the sun (for example, a star with 20% msun)it would be dead by today only if if it had a little less mass than the sun (for example, a star with 90% msun)it would be dead today only if it had much less mass than the sun (for example, a star with 20% msun)it would be a red dwarf today only if it had a little less mass than the sun (for example, a star with 90% msun)
If the Sun had been born with a smaller, lower-mass companion star, would that star be a red dwarf today or would it already be dead, it would still be a red dwarf today regardless of how much less mass than the Sun it has, since its lifetime would be inherently longer than the Sun's.
Stars sparkle and shine—they appear to have an incandescence of their own even when they are bathed in the spotlight—so it stands to reason that they are stars. However, they are "stars" in a much more specific sense because they are a product of the long-standing Western cultural tendency to equate humanity with the heavenly.
Not all celebrities live alone. About half of all stars in our galaxy, the Milky Way, have a companion and journey through space in a binary system.
Now, the long-lost partner of the Sun could be found anywhere in the Milky Way. According to a team of Harvard astronomers, our solar system was once a binary system because the Sun formerly had a companion star.
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bumper cars a and b undergo a collision during which the momentum of the combined system is conserved. which equation(s) correctly states the principle of conservation of momentum? check all that apply.
Equation A. P A i + P B i = P A f + P B f and D.ΔPA + ΔPB=0. correctly states the principle of conservation of momentum.
Momentum is the product of the mass and pace of an object. it's miles a vector quantity, owning a magnitude and a route. If m is an item's mass and v is its velocity, then the object's momentum is p.
Momentum is manufactured from the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both value and path. Isaac Newton's 2d regulation of motion states that the time price of trade of momentum is the same as the pressure performed at the particle. See Newton's legal guidelines of movement.
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Disclaimer:- your question is incomplete, please see below for the comlete question.
Bumper cars a and b undergo a collision during which the momentum of the combined system is conserved. which equation(s) correctly states the principle of conservation of momentum? check all that apply.
A. P A i + P B i = P A f + P B f
B. P A i + P A f = P B i + P B f
C. ΔPA = ΔPB
D. ΔPA + ΔPB=0
if it took 2.17 ms for the bullet to change speed from 439 m/s to the final speed after impact, then what was the magnitude of the average force (in n) exerted by the block on the bullet during this time?
The magnitude of the average force exerted by the block on the bullet during that time is 202,304.147m N (m stands for bullet mass)
We got some values here,
v = 439 m/s
t = 2.17 ms = 2.17 × [tex]10^{-3}[/tex] s
First, we should find the acceleration of the car. We assume that final speed of bullet after impact is 0 m/s, so here we go
a = v/t
a = [tex]v_{1}[/tex] - [tex]v_{0}[/tex] / [tex]t_{1}[/tex] - [tex]t_{0}[/tex]
a = 0 - 439 / 2.17 × [tex]10^{-3}[/tex] - 0
a = -439 / 2.17 × [tex]10^{-3}[/tex]
a = -439,000 / 2.17
a = -202,304.147 m/[tex]s^{2}[/tex]
What actually happens when the result is negative is not the acceleration after the bullet hits the target, but the deceleration.
Now we got the amount of deceleration. We can found the force by the formula of: F = m.a but in the question there is no mass value of the bullet. So, we can answer this question by this way (we can ignore negative values)
F = m.a
F = m × 202,304.147 m/[tex]s^{2}[/tex]
F = 202,304.147m N
What is acceleration?Acceleration (a) is the change of velocity (Δv) over the change of time (Δt), and here is the formula, a = Δv/Δt. This formula allows you to measure how quick velocity changes in meters per second squared (m/s. Acceleration is also a vector quantity, so it includes both magnitude and direction.
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part k what is the magnitude of e at the point (0.50 m , 0.50 m , 0.50 m )? express your answer with the appropriate units.
The values constants magnitude are A=-6 MathrmV cdot m-2 A=6 Vm. B = 4 mathrm V cdot m 3, B = 4 mathrm V m 3, C = 2 V m 6, C = -2 V cdot m 6, l = 2 mathrm V m 6, m = 3 mathrm V m 3, and n = 6 mathrm V n = 6.
How would you define magnitude?Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.
What does force magnitude mean in physics?The amount that encapsulates the force's strength is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
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A 10-kg mass and a 2.0-kg mass are connected by a light string over a massless, frictionless pulley. If g = 9.8 m/s2 , what is the acceleration of the system when released
For a frictionless pulley with mass connected by a light string, the acceleration for the system when released is equal to 6.5m/s²
How is the acceleration for a frictionless pulley calculated?Using the formula a = (m₂ - m₁)g/(m₁ + m₂)
Where a = acceleration, m = mass and g = gravity
m₁ = 2kg
m₂ = 10kg
g = 9.8m/s²
Applying to the formula, a = (m₂ - m₁)g/(m₁ + m₂) to find the acceleration of a frictionless pulley when released;
a = (10 - 2)(9.8)/(2 + 10)
a = 8(9.8)/12
a = 6.5m/s²
Therefore the system's acceleration 6.5m/s²
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A 15.5kg block is dragged horizontally at a constant force of 167 N at an angle of 27.8 above the horizontal. The block is displaced at 59m, and the coefficient of kinetic friction is 0.232. Acceleration is 9.8 m/s^2. Find the work done by 167 N. Answer in units of J.
The work done by the constant force of 167 N, given that the block is displaced at 59 m is 8715.97 J
How do I determine the work done?We know that work done is defined as:
Work done (Wd) = force (F) × distance (d)
Wd = fd
Since angle projection is involved, the work done is defined as:
Wd = FdCosθ
With the above formula, we can detertmine the work done as illustrated follow:
Force (F) = 167 NAngle (θ) = 27.8 degreesDistance (d) = 59 mWorkdone (Wd) =?Wd = FdCosθ
Wd = 167 × 59 × Cos 27.8
Wd = 9853 × 0.8846
Wd = 8715.97 J
Therefore, we can conclude from the calculation made above that the work done is 8715.97 J
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at what velocity will the peak voltage of a generator be 450 v, if its 565-turn, 8.00-cm diameter coil rotates in a 0.250-t field?
The calculated velocity is 7295 rpm. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
According to Faraday's law of induction, an induced electromotive force is produced when a magnet rotates inside a coil. Alternatively said, mechanical energy is changed into electrical energy. Electrical generators are built on the principles of this physical phenomenon. Let's calculate the coil cross section's area A.
A=π 4 d 2 \s= 5.0265 × 10 − 3 m2
Step 2
The following equation describes the greatest induced electromotive force (or peak voltage) in a coil:
ε p=N A B ω
Step 3
Let's use the equation above to calculate the angular velocity. Recall that 1 rpm is equal to 0.10472 radians per second, and 1 tesla is equal to 1 volt per second divided by 1 square meter.
= = p N A = 7295 r pm
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A 5000-kg freight car moving at 2 m/s collides with a 10,000-kg freight car at rest. They couple upon collision and move away at.
The correct answer of velocity is 0.66 m/s or 2 / 3m/s, at which the couple collide.
What is Collision concept?
A collision is a situation in which two or more objects.
Given data:
m1=5000kg
m2=10000kg
v1=2m/s
v2=0
An inelastic collision conserves momentum:
m1v1+m2v2 = (m1+m2) vboth
m1v1+m2v2 = (m1+m2) vboth
vboth =m1v2+m2v2m1+m2
vboth =(5000kg)(2m/s)+(10000kg)(0) / (5000kg+10000kg)
vboth= 10000 / 15000 = 2 / 3 m/s
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