theorem. 2. Tennis player Ashleigh swings her 1000 g racket with a speed of 10 m/s. She hits a 60 g tennis ali that was approaching her at a speed of 20 m/s. The ball rebounds at 40 m/s. A) How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the collision. B) If the tennis ball and racket are in contact for 10 ms, what is the average force that the racket exerts on the ball? How does this compare to the gravitational force on the ball?

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1. A movie creator is designing a jungle-vine-swinging sequence for the latest Tarzan movie. To
determine Tarzan's speed at the low paint of the swing and to make sure it does not exceed mandatory
safety limits, the movie creator decides to model the system of Tarzan + vine as pendulum. Assume
that the model consists of a particle (Tarzan, mass 100 kg) hanging from a light string (the vine) of
length I attached to a support. The angle between the vertical and the string is written as d.
(A) Draw a free-body diagram for the object on the end of the string (Tarzan on the vine).
(B) A infinitesimal distance along the arc (along which the object travels) Ido. Write an
expression for the total work dWutut done on the partide as it travels that distance for an
arbitrary angle o.
() If the /= 7.0 m, and if the artide starts from rest at an angle 50", determine the partide's
kinetic energy and speed at the low point of the swing using the work-kinetic-energy
theorem.
#2. Tennis player Ashleigh swings her 1000 g racket with a speed of 10 m/s. She hits a 60 g tennis
ball that was approaching her at a speed of 20 m/s. The ball rebounds at 40 m/s.
A) How fast is her racket moving immediately after the impact? You can ignore the
interaction of the racket with her hand for the brief duration of the colision.
B) If the tennis ball and racket are in contact for 10 ms, what is the average force that the
racket exerts on the ball? How does this compare to the gravitational force on the ball?
3. A metal block of mass m starts from rest at a heigth h and sides down a frictionless plane incined
at angle e with the horizontal, as shown in Figure 1. The block strikes a spring of force constant k. Find
the distance the spring is compressed when the block momentarily stops. (Hint: Do not forget to label
the points at which you are determining the energies. You will end up to a quadratic equation here.)
Jmm
#4. Show that in a one-dimensional elastic colsion, if the mass and velocity of object 1 are m, and
Vu, and if the mass and velocity of object 2 are m, and v, then their final velocities v, and v
given by
are
Zm,
Vat
m, +m,
m +m,
and
2m,
m, + m:
m, + m,
Transcribed Image Text:1. A movie creator is designing a jungle-vine-swinging sequence for the latest Tarzan movie. To determine Tarzan's speed at the low paint of the swing and to make sure it does not exceed mandatory safety limits, the movie creator decides to model the system of Tarzan + vine as pendulum. Assume that the model consists of a particle (Tarzan, mass 100 kg) hanging from a light string (the vine) of length I attached to a support. The angle between the vertical and the string is written as d. (A) Draw a free-body diagram for the object on the end of the string (Tarzan on the vine). (B) A infinitesimal distance along the arc (along which the object travels) Ido. Write an expression for the total work dWutut done on the partide as it travels that distance for an arbitrary angle o. () If the /= 7.0 m, and if the artide starts from rest at an angle 50", determine the partide's kinetic energy and speed at the low point of the swing using the work-kinetic-energy theorem. #2. Tennis player Ashleigh swings her 1000 g racket with a speed of 10 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 20 m/s. The ball rebounds at 40 m/s. A) How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the colision. B) If the tennis ball and racket are in contact for 10 ms, what is the average force that the racket exerts on the ball? How does this compare to the gravitational force on the ball? 3. A metal block of mass m starts from rest at a heigth h and sides down a frictionless plane incined at angle e with the horizontal, as shown in Figure 1. The block strikes a spring of force constant k. Find the distance the spring is compressed when the block momentarily stops. (Hint: Do not forget to label the points at which you are determining the energies. You will end up to a quadratic equation here.) Jmm #4. Show that in a one-dimensional elastic colsion, if the mass and velocity of object 1 are m, and Vu, and if the mass and velocity of object 2 are m, and v, then their final velocities v, and v given by are Zm, Vat m, +m, m +m, and 2m, m, + m: m, + m,
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