Identify the graph for each of the following: a . the momentum of cart B b. the
ID: 1468695 • Letter: I
Question
Identify the graph for each of the following:
a. the momentum of cart B
b. the force on cart A
c. the total momentum of the system
d. the kinetic energy of cart B
e. the total KE of the system
Two identical carts labeled A and B are initially resting on an air track. The coordinate system for describing the system is shown. The cart on the right, cart B is given a push to the left and is released. The clock is then started. At t = 0, cart B moves in the direction shown with a speed vo. They hit and stick to each other. The graphs below describe some of the variables associated with the motion intially at rest as a function of time. For the experiment described and for each item in the list below, identify which graph is a possible display of that variable as a function of time assuming a proper scale. "The system" refers to carts A and B together. cart A cart 0 0.5 115 225 05 1 15 2 0.5 0.5 0.5 1.5 1.5 0 0 0.5 15 225 #1 #2 #3 time time time 0.8 0.8 0.4 0.2 2 1.5 05 0.5 0 D 0.5 115225 0 00.5 1.5 2 25 #41 0 05 1time1.5 2 #5 #6 time time one of the graphs shown 0.5 5 2 2 0.5 2 25 #7 #8 #9 time ti meExplanation / Answer
a) graph -3
b) graph-8
c) graph -9 ( momentum of the system will be always constant & equal to the initial momentum of the cart-B )
d) graph -4 ( kinetic energy of B will remain constant till just before collision & after collision there will be loss of kinetic energy of system & also the remaining KE will be equally distributed in both cart A & cart -B so final KE of cart -B will less than half of initial KE of cart -B )
e) graph -