Question

A small ball of mass m is aligned above a larger ball of mass M =...

A small ball of mass m is aligned above a larger ball of mass M = 2.1 kg (with a slight separation, as with the baseball and basketball of Figure (a)), and the two are dropped simultaneously from height h = 2.1 m. (Assume the radius of each ball is negligible compared to h.) (a) If the larger ball rebounds elastically from the floor and then the small ball rebounds elastically from the larger ball, what value of m results in the larger ball stopping when it collides with the small ball? (b) What height does the small ball then reach (see Figure (b))?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a) PE = M g h

KEfinal = 1/2 M v2

M g h = 1/2 M v2

v = sqrt (2 g h)

from conservation of KE

1/2 m (2 g h) + 1/2 M (2 g h) = 1/2 m vf2

m (2 g h) + M (2 g h) = m (-sqrt(2 g h) + M/m sqrt(2 g h))2

m + M = m - 2 M + M2/m

m = M / 3

= 2.1 / 3

m = 0.7 kg

b) 1/2 m vf2 = m g H

H = 4 h = 4 * 2.1

H = 8.4 m

Add a comment
Know the answer?
Add Answer to:
A small ball of mass m is aligned above a larger ball of mass M =...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Q8: (10 점, 부교재 9 장 34 번, 수업시간에 소개한 도마뱀 얘기입니다) Basilisk lizards can run across the top of a w...

    Q8: (10 점, 부교재 9 장 34 번, 수업시간에 소개한 도마뱀 얘기입니다) Basilisk lizards can run across the top of a water surface. With each step, a lizard first slaps its foot against the water and then pushes it down into the water rapidly enough to form an air cavity around the top of the foot. To avoid having to pull the foot back up against water drag in order to complete the step, the lizard withdraws the foot before...

  • 0.155 s, and applies a (10%) Problem 3: A golf ball of mass m = force...

    0.155 s, and applies a (10%) Problem 3: A golf ball of mass m = force of F 17 N to the floor when it elastically collides with it 0.19 kg is dropped from a height h. It interacts with the floor fort = Randomized Variables m 0.19 kg t 0.155 s F= 17 N 33% Part (a) Write an expression for the ball's velocity, v, just after it rebounds from the floor. (Hint: The fact that the collision is...

  • A ball of mass 0.180 kg is dropped from rest from a height of 1.25 m....

    A ball of mass 0.180 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.785 m. What impulse was given to the ball by the floor? Magnitude

  • A ball of mass 0.140 kg is dropped from rest from a height of 1.25 m....

    A ball of mass 0.140 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.830 m. What impulse was given to the ball by the floor? magnitude kg. m/s direction --Select-

  • A small metal ball with a mass of m = 82.5 g is attached to a...

    A small metal ball with a mass of m = 82.5 g is attached to a string of length l = 1.30 m. It is held at an angle of ? = 56.3° with respect to the vertical. The ball is then released. When the rope is vertical, the ball collides head-on and perfectly elastically with an identical ball originally at rest. This second ball flies off with a horizontal initial velocity from a height of h = 3.87 m,...

  • An elastic ball os mass M is dropped from the height h above the floor. At...

    An elastic ball os mass M is dropped from the height h above the floor. At the instant the ball is at the height h/2, it is struck by a bullet of mass 0.2M, flying horizontally at the speed v. The bullet gets stuck inside the falling ball. The ball then bounces off the floor several times. What is the horizontal distance x traveled by the ball between the first and second bounce? The acceleration due to gravity is g....

  • 1. A ball with a mass of m 0.175-kg is dropped from a height of h...

    1. A ball with a mass of m 0.175-kg is dropped from a height of h 2.50 m It rebounds to a height ofh2- 2.00 m (a) Using energy method to find the velocity (magnitude and direction of the ball immedately before hiting the floor? (b) Using energy method to find the velocity (magnitude and drection) of the ball immed iately aftfer hitting the floor? (c) If the collision between the ball and the floor lasts for Δt-0.015 sec, using...

  • A 290 g ball is dropped from a height of 2.2 m , bounces on a...

    A 290 g ball is dropped from a height of 2.2 m , bounces on a hard floor, and rebounds to a height of 1.7 m . (Figure 1) shows the impulse received from the floor. What maximum force does the floor exert on the ball?

  • A tennis ball is dropped from a height of 5 m to the ground and the ball rebounded to a height of 4 m

    A tennis ball is dropped from a height of 5 m to the ground and the ball rebounded to a height of 4 m. If the mass of the basketball is 1.0 kg and it is in contact with the floor for 50 ms, determine the average force exerted by the ground to the basketball.

  • A ball with mass of 0.050 kg is dropped from a height of 2.0 m. It...

    A ball with mass of 0.050 kg is dropped from a height of 2.0 m. It collides with the floor, then sticks to the table. The Collison takes 0.020 s. a) Use the conservation of mechanical energy (Ei = Ef) to calculate the velocity of the ball before collision with the floor

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT