Question

A ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height , where . Suppose the ball is dropped from an initial height . Assuming that the ball continues to bounce indefinitely, show that the total distance that it travels is given by

Answer #1

12. (a) A ball is dropped from a height of 10
meters. Each time it falls h meters, it rebounds
0.8h meters, i.e. it bounces to 80% of its previous
height.
In correct units, find the total distance traveled by the ball.
(5p)
12. (b) You deposit $100 at the end of each
quarter in an account that pays 6% interest compounded quarterly.
Find the balance in the account after 20 years, in correct
units and rounded appropriately. How much...

A ball is dropped from a height of 0 feet each time it
drops H feet it rebounds 0.83 H feet find the total distance
traveled by the ball round your answer to 2 decimal places

After dropping from a height of 1.50m onto a concrete floor, a
50g ball rebounds to a height of .90m. A. Find the impulse acting
on the ball as it dropped. B. Find the impulse acting on the ball
as it rebounds. C. Find the impulse on the ball while it was in
contact with the floor. Please show all calculations and steps
clearly.

A ball is held at rest at some height above a hard, horizontal
surface. Once the ball is released it falls, hits the surface, and
starts bouncing vertically up and down. Suppose that with each
bounce the ball loses a fixed fraction p (with 1>p>0) of its
energy. This loss could be due to a number of reasons
(inelasticity, drag, etc) that are left unspecified.
How many times will the ball bounce before coming to rest (if
at all)? Provide...

A
super happy fun ball is dropped from a height of 13 feet and
rebounds 4/5 of the distance from which it fell.
How many times will it bounce before it rebound is less than 1
foot?
How far will the ball travel before it comes to rest on the
ground?

A steel ball with mass 40.0 g is dropped from a height of 2.00 m
onto a horizontal steel slab. The ball rebounds to a height of 1.60
m.
(a) Calculate the impulse delivered to the ball during impact,
in N-m. Define upward as positive.
(b) If the ball is in contact with the slab for 2.00 ms, find
the average force on the ball during impact, in N. Define
upward as positive.

A Super Happy Fun Ball is dropped from a height of 9 feet and
rebounds 6/7 of the distance from which it fell.
How many times will it bounce before its rebound is less than 1
foot?
How far will the ball travel before it comes to rest on the
ground?

A 0.6 kg ball is dropped from a height, h, of 2 meters (at point
A). It hits the ground and bounces back up to a height of 1 meter
(at point B) on its first bounce. (3 pts each)
a. What is the total energy of the ball at A?
b. What is the total energy of the ball at B?
c. Why did the ball not bounce back up to its starting
height?

A lead ball, with an initial temperature of 25 °C, is released
from a height of 125.0 m. It does not bounce when it hits
a hard surface. Assume all the energy of the fall goes into heating
the lead. Find the temperature in °C of the ball after it hits.
(You do not need to enter the units.) Data: clead = 128
[(J)/(kg·°C)].

A ball is thrown up onto a roof, landing 3.10 s later at height
h = 18.0 m above the release level. The ball's path just
before landing is angled at θ = 63.0˚ with the roof.
(a) Find the horizontal distance d it
travels. (Hint: One way is to reverse the motion, as if it
is on a video.) What are the (b) magnitude and
(c) angle (relative to the horizontal) of the
ball's initial velocity?

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