A tennis ball of mass 57.0 g is held just above a basketball of mass 608 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.36 m, as shown in the figure below. (a) Find the magnitude of the downward velocity with which the basketball reaches the ground. (b) 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? Step 1 (a) When released, both balls start from rest and fall freely under the influence of gravity for 1.36 m before the basketball touches the ground. Their downward speed just before the basketball hits the ground is found from Voy - 2a Ay. In this problem we have that vy is the speed at impact with the ground of the basketball v. Solving for v; from the equation above, we have Vy m/s. V₁ = V 0 + 2(-9.80 m/s²) + 2a Ay = Voy n/s²)(- Note that both the acceleration due to gravity and the vertical displacement through which the balls fall are negative.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter6: Momentum And Collisions
Section: Chapter Questions
Problem 73AP: A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers...
icon
Related questions
Question
A tennis ball of mass 57.0 g is held just above a basketball of mass 608 g. With their centers vertically aligned, both balls are released from rest at
the same time, to fall through a distance of 1.36 m, as shown in the figure below.
(a) Find the magnitude of the downward velocity with which the basketball reaches the ground.
(b) 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?
Step 1
(a) When released, both balls start from rest and fall freely under the influence of gravity for 1.36 m before the basketball touches the ground. Their
downward speed just before the basketball hits the ground is found from
Voy
- 2a Ay.
In this problem we have that vy is the speed at impact with the ground of the basketball v. Solving for v; from the equation above, we have
Vy
m/s.
V₁ = V
0 + 2(-9.80 m/s²)
+
2a Ay =
Voy
n/s²)(-
Note that both the acceleration due to gravity and the vertical displacement through which the balls fall are negative.
Transcribed Image Text:A tennis ball of mass 57.0 g is held just above a basketball of mass 608 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.36 m, as shown in the figure below. (a) Find the magnitude of the downward velocity with which the basketball reaches the ground. (b) 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? Step 1 (a) When released, both balls start from rest and fall freely under the influence of gravity for 1.36 m before the basketball touches the ground. Their downward speed just before the basketball hits the ground is found from Voy - 2a Ay. In this problem we have that vy is the speed at impact with the ground of the basketball v. Solving for v; from the equation above, we have Vy m/s. V₁ = V 0 + 2(-9.80 m/s²) + 2a Ay = Voy n/s²)(- Note that both the acceleration due to gravity and the vertical displacement through which the balls fall are negative.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Collisions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University