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.
You are part of a car accident investigative team, looking into a case where a car drove off a bridge. You are using the lab projectile launcher to simulate the accident and to test your mathematical model (an equation that applies to the situation) before you apply the model to the accident data. We are assuming we can treat the car as a projectile.
An object weighing 4 lbs is fired upwards with an initial speed of 4 ft/s. Assume that the magnitude of air resistance is proportional to the speed of the object with k=1.25 lbs per ft/s. Set up and solve an initial value problem to find the velocity of the object as a function of time
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.
Chapter 2 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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