Question

1. according to the graph below, what is the initial momentums and final momentums of car one and car two? fill in the table below with your answers.

momentum of car 1 and car 2

1. an isolated system contains a stationary car 2 and a car 1 moving with constant speed. if car 1 collides with car 2, which of the following will be true?

a. the total momentum of the system will not change.
b. the total momentum of the car 2 will not change.
c. the total momentum of the car 2 will decrease.
d. the total momentum of the system will increase.

1. define:

impulse:
a 0.9 kg soccer ball is kicked, changing its velocity from 2 m/s to 7 m/s. what is the impulse experienced by the soccer ball?
j = δp or j = p_f - p_i
the impulse experienced by the ball is ____ kg(m)/s

Explanation:

Step1: Determine initial momenta from graph

For Car 1, at time = 0, momentum is 5 kg(m)/s. For Car 2, at time = 0, momentum is 0 kg(m)/s.

Step2: Determine final momenta from graph

For Car 1, at the end - point shown, momentum is 3 kg(m)/s. For Car 2, at the end - point shown, momentum is 2 kg(m)/s.

Step3: Answer question 16

In an isolated system, the total momentum is conserved during a collision. So when Car 1 collides with Car 2, the total momentum of the system will not change. The answer is A.

Step4: Define impulse

Impulse (J) is defined as the change in momentum, $J=\Delta P = P_f - P_i$.

Step5: Calculate impulse for soccer - ball

Given $m = 0.9$ kg, $v_i=2$ m/s, $v_f = 7$ m/s. First, find initial momentum $P_i=mv_i=0.9\times2 = 1.8$ kg(m)/s. Then find final momentum $P_f=mv_f=0.9\times7 = 6.3$ kg(m)/s. Then $J=P_f - P_i=6.3 - 1.8=4.5$ kg(m)/s.

Answer:

	Car 1	Car 2
Final Momentum kg(m)/s	3	2

1. A. The total momentum of the system will not change.
2. Impulse: The change in momentum, $J = \Delta P=P_f - P_i$. 4.5