In: Physics
In order to measure the speed of an arrow with mass of 100 g, you shoot it into a block of putty with mass of 3 kg that is suspended by a 2 m long string hanging from the branch of a tree. The arrow gets stuck in the block of putty, which then swings back reaching a maximum height of 13 cm above the original position.
a) What is the speed of the putty and arrow right after the arrow gets stuck in the putty?
b) How much kinetic energy do the putty and arrow have then?
c) How large is the gravitational potential energy of the arrow and putty when they reach the maximum height?
d) How large is the kinetic energy of the arrow before it hits the putty?
e) What is the initial speed of the arrow?
f) How much kinetic energy is lost in the collision of the arrow with the putty?