500 g 750 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) 0 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0 (a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision. (b) The collision takes place over a time period of 0.5 seconds. Draw and label a graph of the velocity of both carts as a function of time for the time period t = 0 to 4 seconds (still assuming negligle fricton). 0.0 1.0 2.0 3.0 4.0 5.0 t(s) (c) Determine the impulse applied to the 750 g cart. (d) Determine the magnitude of the average force acting on the 500 g cart during the colli- sion.

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V = 0 750 g 500 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) o 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0

(a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision.

(b) The collision takes place over a time period of 0.5 seconds. Draw and label a graph of the velocity of both carts as a function of time for the time period t = 0 to 4 seconds (still assuming negligle fricton). 0.0 1.0 2.0 3.0 4.0 5.0 t(s)

(c) Determine the impulse applied to the 750 g cart.
(d) Determine the magnitude of the average force acting on the 500 g cart during the colli sion. 

V = 0
750 g
500 g
A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a
750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits
the other cart is recorded in the data table below.
x-position of 500 g cart (cm) o 10
20
30
40
time (s)
O 0.5 1.0 1.5 2.0
(a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they
stick together). Calculate the final velocity of the 500-gram cart after this collision.
(b) The collision takes place over a time period of 0.5 seconds. Draw and label a graph of the
velocity of both carts as a function of time for the time period t = 0 to 4 seconds (still
assuming negligle fricton).
0.0
1.0
2.0
3.0
4.0
5.0 t(s)
(c) Determine the impulse applied to the 750 g cart.
(d) Determine the magnitude of the average force acting on the 500 g cart during the colli-
sion.
Transcribed Image Text:V = 0 750 g 500 g A 500-gram cart rolls with negligible friction along a straight flat track until it collides with a 750-gram cart that was initially at rest. Position-time data for the 500-gram cart before it hits the other cart is recorded in the data table below. x-position of 500 g cart (cm) o 10 20 30 40 time (s) O 0.5 1.0 1.5 2.0 (a) At time t = 2 seconds, the two carts collide in a perfectly inelastic collision (meaning they stick together). Calculate the final velocity of the 500-gram cart after this collision. (b) The collision takes place over a time period of 0.5 seconds. Draw and label a graph of the velocity of both carts as a function of time for the time period t = 0 to 4 seconds (still assuming negligle fricton). 0.0 1.0 2.0 3.0 4.0 5.0 t(s) (c) Determine the impulse applied to the 750 g cart. (d) Determine the magnitude of the average force acting on the 500 g cart during the colli- sion.
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