A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in contact with the pavement, the lower side of the ball is temporarily f fattened. Suppose the maximum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in contact with the pavement, the lower side of the ball is temporarily f fattened. Suppose the maximum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
Solution Summary: The author explains the order of magnitude of the maximum acceleration of a ball while it is in contact with the pavement. The formula to calculate the final velocity of ball thrown vertically downward is v2=
A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in contact with the pavement, the lower side of the ball is temporarily f fattened. Suppose the maximum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
We want to find the coefficient of restitution e between the ball and the floor. We will be able to measure the time of
flight between subsequent bounces, but not the velocities before and after each impact.
Question 1
a. Using the kinematics equation for position, find a relationship
between the time of flight tn and the velocity of the ball after
the nth bounce. You should obtain a quadratic equation that
has two solutions for the time tm, but only one of them
represents the time of flight.
b. Using the kinematics equation for velocity and the relationship
determined in the previous step, find the relationship between
the velocity right after the nth bounce and the velocity right
before the (n +1)th bounce?
c. Given your answers to the previous parts of this question and
the definition of €, find the coefficient of restitution e in terms of
the subsequent times of flight tn and tr+1.
Consider two spherical raindrops. The first raindrop is small with radius R1, and the
second is big with radius R, = 1.5 R1. As each raindrop falls through the atmosphere, it
eventually reaches its terminal velocity. Suppose the terminal velocity of the first
raindrop is vr1 = 8 m/s. Calculate the terminal velocity of the second raindrop.
A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of
h = 43.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the
cliff, directly below where the rock leaves the hand.
4
7
i
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
Xo =
Yo =
m
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
Vox =
m/s
m/s
Voy
Chapter 2 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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