Two billiard balls, each with a mass of 0. 35 kg, strike each other head-on. One ball is initially moving left at 4. 1 m/s and ends up moving right at 3. 5 m/s. The second ball is initially moving to the right at 3. 5 m/s. Find the velocity of the second ball

Answers

Answer 1

The velocity of the second ball will be 4.1 m/s towards the left, If the initial velocity of the second ball is 3.5 m/sec towards right.

Initial velocity of first ball, v₁ = +4.1 m/s [positive: towards the left]

Initial velocity of second ball, v₂ = -3.5 m/s [negative: towards the right]

final velocity after collision of first ball, v₃ = -3.5 m/s

Let the final velocity after collision of second ball, = v₄

Mass of each ball is 0.35 kg

By the law of conservation of momentum,

m₁v₁ + m₂v₂ = m₃v₃ + m₄v₄

0.35×(4.1) + 0.35(-3.5) = 0.35×(-3.5) + 0.35×v₄

4.1 - 3.5 = -3.5 + v₄

v₄ = +4.1

Positive sign indicates that the velocity will be towards the left.

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Related Questions

a harmonic wave traveling along a string is generated by an oscillator that completes 180 vibrations per minute. if it is observed that a given crest, or maximum, travels 300 cm in 10 s, what is the wavelength?

Answers

The wavelength of the harmonic wave is 90 cm, if it completes 180 vibrations per minute and travels 300 cm in 10 s.

Time taken to complete 180 vibrations, = 1 minute = 60 sec

Number of vibrations completed by wave in 1 sec, = 180/60 = 3

So the frequency, f = 3 Hertz

Time taken to complete 1 vibration, T = 1/3 seconds

Wavelength is the distance travelled by the wave in one vibration/cycle. We know one cycle takes 1/3 seconds to complete, so the distance travelled by the wave in 1/3 second = (300/10) × (1/3) = 90 cm

So the wavelength λ = 90 cm.

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Which of the following scenarios describes an object being acted on by a conservative force?

Answers

A scenario which describes an object being acted on by a conservative force is the one in which a feather falls from one end of a tube to the other inside a vacuum. Thus, the correct option is C.

What is Conservative force?

The conservative force is a force with the property which the total work done in moving a particle between two points, it is independent of the path taken by the object. Equivalently, if a particle travels in a closed loop, then the total work done by the object is the sum of the independent forces which are acting along the path multiplied by the displacement of the object by a conservative force is zero.

A feather which is falling from one end of a tube to the other inside a vacuum is an example of conservative force. This is a Conservative force because, here we are looking at a vacuum and it is a closed system of no other forces present in it due to vacuum.

Therefore, the correct option is C.

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Your question is incomplete, most probably the complete question is:

Which of the following scenarios describes an object being acted on by a conservative force?

A. A woman hikes up a mountain to a point 20 feet above ground.

B. A dishwasher was pulled up to a window by a rope, using a pulley system.

C. A feather falls from one end of a tube to the other inside a vacuum.

D. A puck glides across and slowly comes to a stop on an ice rink.

students work together durlng an experlment about newlon's laws the students use a setup that conslsts of a cart of known mass connected to one end of a strlng thal ls looped over a pulley of negllgible frlctlon, wlh lts other end connected to a hanging mass the cart ls lnltlally a rest on a horlzontal surface and rolls wlhoul sllpplng when released the lnertla of the cart's wheels ls negllgible, sudents have access o common laboratory equlpment o make measurements of components of the system the shdents double the mass that hangs hom de string they also replace the original cart with a new cart that has double the mass. by doubling bolh masses, how will the tension in lhe string and the acceleration of the cart change?

Answers

The tension in the string is the same over the entire length of the string, and equals the difference between the weight of the mass, and the acceleration of the cart.

What is meant by acceleration ?

The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily.An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.In physics, acceleration is the rate at which the velocity of an object changes in relation to time. According to Newton's Second Law, the sum of all forces acting on an item results in its acceleration. Meter per second squared (m s2) is the unit of acceleration used in the SI system.The definition of acceleration is the rate of change of velocity. Or Acceleration is the term used to describe a change in velocity over time. Acceleration is a vector quantity because velocity is one as well.

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Two wires enter a box, are each connected to a terminal, and then exit again. The total conductor count is

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Two wires enter a box, connect to individual terminals, and then leave the box once more. There are 2 conductor in total.

In physics, a conductor is a material that allows electric current to flow through it easily. This is in contrast to an insulator, which does not allow electric current to flow through it easily. Common examples of conductors include metals such as copper and aluminum, while common examples of insulators include rubber and plastic. Conductors are used in many electrical devices, such as wires and circuit boards, to help transfer electrical energy. The electrical resistance of a conductor is a measure of how easily electric current flows through it and is affected by factors such as the conductor's material, temperature, and cross-sectional area.

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H= 0.0055m, R= 3m, How far did the object fall?

Answers

The formula s = (1/2)gt2 = 0.5 * 9.80665 * 82 = 313.8 m can be used to calculate the free fall distance. If you are aware of how high the object is.

How far can you fall into?Most falls occur from a height of 20 to 25 feet (6 to 8 metres), but anything higher than that can be fatal very quickly. According to a 2005 study conducted in Paris on 287 fall victims, falls from 8 storeys (30 metres) or above are always lethal.The highest survival thresholds for a person to tolerate impact velocity in water are ostensibly near to 100 ft/sec (68.2 mph) corrected velocity, or the equivalent of a 186-foot freefall.Nearly half of all fatal falls occur at a height between 0 and 20 feet, according to a study of construction accidents in India. Between 21 and 40-foot deadly falls made up the next-largest group. Alternatively stated, 20 feet is sufficient to be fata.

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how do I find average distance with the numbers below:
MAIN: 92.2g
255cm,242 cm,245cm

for science help pls

Answers

Answer:

To find the average distance of the numbers you provided (255cm, 242cm, 245cm), you can add all the numbers together and divide by the number of numbers in the set.

In this case, you would add 255cm + 242cm + 245cm = 742cm, and then divide by 3 (the number of numbers in the set) to get an average distance of 244cm.

You can also use this formula: (255 +242 + 245) /3 = 244

an object is dropped off a building. if it takes 10 seconds to get halfway to the ground, how long does it take to fall the entire distance? ignore air resistance

Answers

Since the object is dropped off a building, we can assume that it is falling under the influence of gravity. The acceleration due to gravity is 9.8 m/s² and the time it takes to fall halfway to the ground is 10 seconds.

The time it takes for an object to fall a certain distance under the influence of gravity is given by the equation:

t = √(2d/g)

Where t is the time, d is the distance, and g is the acceleration due to gravity.

We know that it takes 10 seconds to fall halfway to the ground, so we can use that information to find the total time it takes to fall the entire distance.

Halfway is half the distance, so we can multiply the time to fall halfway by 2 to find the time to fall the entire distance:

t = √(2d/g) x 2

t = 2 x √(2d/g)

t = √(4d/g)

t = √(4 x d/g)

t = √(d/g)

t = √(d/(9.8 m/s²))

So, we need to know the distance that the object is falling to find the total time it takes to fall the entire distance.

Alternatively, if we know the height of the building, we can use it to find the distance that the object is falling. And then we can use that distance in the above equation to find the total time it takes to fall the entire distance.

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a ball thrown horizontally at 26 m/s travels a horizontal distance of 58 m before hitting the ground. from what height was the ball throw

Answers

The ball was thrown from a height of 15.82 meters above the ground.

To find the height from which the ball was thrown, we can use the equations of motion for vertical and horizontal motion individually.

First, we know that the horizontal velocity of the ball is constant, so we can use the equation:

distance = velocity * time

We know the distance (58 m) and the velocity (26 m/s) of the ball, so we can find the time it takes for the ball to travel 58 m:

time = distance/velocity

time = 58 m / 26 m/s

Now we can use this time to find the height from which the ball was thrown. Since the vertical motion of the ball is affected by gravity, we can use the equation:

vertical distance = initial vertical velocity * time + (1/2) * acceleration due to gravity * time^2

Since the ball was thrown horizontally, its initial vertical velocity is 0 m/s. The acceleration due to gravity is 9.8 m/s^2 (going down).

We can substitute the values into the equation:

[tex]height = 0 m/s * time + (1/2) * 9.8 m/s^2 * time^2[/tex]

[tex]h = (1/2) * 9.8 m/s^2 * time^2[/tex]

[tex]h = (1/2) * 9.8 m/s^2 * (58 m / 26 m/s)^2[/tex]

height = 15.82 m

Therefore, the ball was thrown from a height of 15.82 meters above the ground.

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3. Suppose a free-fall ride at an amusement park starts at rest and is in free fall.



a. What is the velocity of the ride after 2. 3 s?


b. How far do people on the ride fall during the 2. 3-s time period?

Answers

The velocity of the ride after 2.3s is 22.54m/s and the displacement covered is 26m.

What is free fall?

An object that is falling only due to gravity is said to be in free fall. Any object that is merely subject to the effects of gravity is said to be in free fall. Two crucial aspects of an object's motion are present while it is falling freely:

1) Air resistance does not exist for falling objects in free fall.

2) On Earth, all objects in free fall experience a downward acceleration of 9.8 m/s/s (which is frequently approximated to 10 m/s/s in computations).

Let the upward direction be positive and the downward be negative.

Now, according to the question we have given

The ride is in free fall i.e., u=0m/s and we have to find the velocity after 2.3s in part a.

so we can use the formula

v=u+at

v=0+9.8×2.3

v=22.54m/s

For part b we can use the 2nd equation of motion.

since xi=0 and u=0

xf=0+0+1/2×(-9.8)*2.3²

xf=-26m

Therefore, velocity of the ride after 2.3s is 22.54m/s and the displacement covered is 26m.

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