A small ball of mass m is placed on top of a large ball of mass 3m. Both balls are dropped simultaneously from a height h = 3.75 m as shown in the figure. Assuming the radius of the large ball and small are small and thus negligible in comparison to the height they are being dropped meaning the small ball has the same speed the large ball has when it hits the ground. If the large ball rebounds elastically from the floor, collides with the small ball, stops and then the small ball rebounds elastically from the large ball, find the maximum height the small reaches. ### Two-Ball Collision ExperimentThe diagram illustrates a classic physics experiment involving a two-ball collision to demonstrate the principles of conservation of momentum and energy transfer.#### Description:1. **Initial Setup**: - A large cork ball is placed on a table or flat surface. - A small rubber ball is positioned directly above the cork ball at a height marked by "h".2. **Execution**: - The rubber ball is dropped from the height "h" above the larger cork ball. - The diagram shows two main phases: - **Before Collision**: The rubber ball descends towards the cork ball. - **After Collision**: The rubber ball ascends after hitting the cork ball and the large cork ball remains on the surface.3. **Outcome**: - On impact, the rubber ball rebounds upwards. Depending on the parameters (masses, heights, initial velocity), the balls transfer momentum and kinetic energy, causing the smaller ball to bounce higher than the original drop.#### Explanation:- **Conservation of Momentum**: The total momentum of the system before and after collision remains constant if no external forces act on it. - **Energy Transfer**: As the rubber ball hits the cork ball, some kinetic energy is transferred, causing the rubber ball to rebound with greater velocity.#### Relevant Physics Concepts:- **Elastic and Inelastic Collisions**: This experiment can demonstrate elastic collisions if energy loss is minimal.- **Potential and Kinetic Energy**: The potential energy at height "h" converts to kinetic energy as the ball falls, and partially converts back to potential energy after the rebound.This simple yet powerful experiment visually demonstrates fundamental principles of physics in motion.

Answered: Image /qna-images/answer/a0d8068c-c1fc-4cb9-94d7-113bf34c3c53.jpg

A small ball of mass m is placed on top of a large ball of mass 3m. Both balls are dropped simultaneously from a height h = 3.75 m as shown in the figure. Assuming the radius of the large ball and small are small and thus negligible in comparison to the height they are being dropped meaning the small ball has the same speed the large ball has when it hits the ground. If the large ball rebounds elastically from the floor, collides with the small ball, stops and then the small ball rebounds elastically from the large ball, find the maximum height the small reaches

A small ball of mass m is placed on top of a large ball of mass 3m. Both balls are dropped simultaneously from a height h = 3.75 m as shown in the figure. Assuming the radius of the large ball and small are small and thus negligible in comparison to the height they are being dropped meaning the small ball has the same speed the large ball has when it hits the ground. If the large ball rebounds elastically from the floor, collides with the small ball, stops and then the small ball rebounds elastically from the large ball, find the maximum height the small reaches

Similar questions

A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.20 m, as shown in Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound?
A 38.0 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 22.0 m/s. If the player was moving upward with a speed of 2.70 m/s just before impact. (d) What will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic? (Note that the force of gravity may be ignored during the brief collision time.) A 38.0 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 22.0 m/s. If the player was moving upward with a speed of 2.70 m/s just before impact. (e) If the ball is in contact with the players head for 49 ms, what is the average acceleration of the ball? (Note that the force of gravity may be ignored during the brief collision time.) A 38.0 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 22.0 m/s. If the player was moving upward…
A bullet of mass 52 grams is fired horizontally into a 5.2 kg wooden block on a horizontalsurface. The coefficient of kinetic friction between the block and the surface is 0.52. Thebullet stops in the block which slides straight ahead for 5.2 meter. At what speed is thebullet fired?(Apply conservation of energy with friction
Two billiard balls of equal mass undergo a perfectly elastic head-on collision. If the speed of ball 1 was initially 2.23 m/s, and the speed of ball 2 was 6.32 m/s in the opposite direction, what will be the speed of ball 1 after the collision?
An 82 kg male and and a 42 kg female pair figure skating team are gliding across the ice at 7.4 m/s, preparing for a throw maneuver. The male skater tosses the female skater forward with a speed of 8.6 m/s. Determine the speed of the male skater immediately after the throw
A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass 3.3 kg, is moving upward at 25 m/s and the other ball, of mass 2.0 kg, is moving downward at 13 m/s. How high do the combined two balls of putty rise above the collision point? (Neglect air drag.) Number Units
A 1.72 kg block of soft wood is suspended by two strings from the ceiling. The wood is free to rotatein pendulum-like fashion when a force is exerted upon it. An 8.5 g bullet is fired into the wood. Thebullet enters the wood at 431 m/s and exits the opposite side shortly thereafter. If the wood rises to aheight of 13.8 cm after the collision, then what is the exit speed of the bullet?
A 6.45 kg bowling ball moving at 10.0 m/s collides with a 1.60 kg bowling pin, scattering it with a speed of 8.00 m/s and at an angle of 29.5° with respect to the initial direction of the bowling ball. Calculate the final velocity (magnitude in m/s and direction in degrees counterclockwise from the original direction) of the bowling ball. Ignoring rotation, what was the original kinetic energy in joules of the bowling ball before the collision? Ignoring rotation, what is the final kinetic energy in joules of the system of the bowling ball and pin after the collision?
A 0.20-kg stone you throw rises 42.4 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is Question 8 options: 14 Ns. 29 Ns. 5.8 Ns. 3.4 Ns. 6.5 Ns.
A billiard ball rolling across a table at 1.70 m/s makes a head-on elastic collision with an identical ball. Find the speed of each ball after the collision when each of the following occurs. (a) The second ball is initially at rest. first ball m/s second ball m/s (b) The second ball is moving toward the first at a speed of 1.15 m/s. first ball m/s second ball m/s (c) The second ball is moving away from the first at a speed of 0.95 m/s. first ball m/s second ball m/s
A tennis player hits a tennis ball with a racket. Consider the system made up of the ball and the racket. Is the total momentum of the system the same just before and just after the hit? Is the total momentum just after the hit the same as 2 s later, when the ball is in midair at the high point of its trajectory? Explain any differences between the two cases.
An 0.8kg ball, initially at rest, is launched from a kicker's foot 30° above the horizontal with a velocity of 5.0m/s. The magnitude of the impulse exerted on the foot by the ball is most nearly A. 2.75N•s B. 2N•s C. 1N•s D. 2.5N•s E. 3.46N•s