A 80 slug car runs into a wall while moving at 10ft/s. If the car bounces off the wall with the same speed it struck it with as a result of having been in contact with the wall for .8 second, then find...

a)... The initial momentum of the car
b)... The final momentum of the car
c)... The change in momentum of the car
d)... The impulse applied on the car by the wall
e)... The net force applied on the car by the wall

To answer the given questions step-by-step:

a) The initial momentum of the car can be calculated using the formula: momentum = mass * velocity. Given that the mass of the car is 80 slugs and the velocity is 10 ft/s, the initial momentum of the car is:

Initial momentum = 80 slugs * 10 ft/s = 800 slug ft/s

b) Since the car bounces off the wall with the same speed it struck it with, the final momentum of the car will be equal to the initial momentum. Therefore:

Final momentum = 800 slug ft/s

c) The change in momentum of the car can be calculated by subtracting the initial momentum from the final momentum:

Change in momentum = Final momentum - Initial momentum
= 800 slug ft/s - 800 slug ft/s
= 0 slug ft/s

d) The impulse applied on the car by the wall can be calculated by using the formula: impulse = change in momentum. Since we have already calculated the change in momentum as 0 slug ft/s, the impulse applied on the car by the wall will also be 0 slug ft/s.

Impulse = 0 slug ft/s

e) The net force applied on the car by the wall can be calculated using the formula: net force = impulse / time. Given that the impulse is 0 slug ft/s and the contact time with the wall is 0.8 seconds, the net force applied on the car by the wall will also be 0:

Net force = 0 slug ft/s / 0.8 s = 0

Therefore, the net force applied on the car by the wall is 0.

To find the answers to these questions, we will use the principles of momentum and impulse.

a) The initial momentum of the car can be calculated using the equation:

Initial momentum = mass × velocity

Given that the mass of the car is 80 slugs and the velocity is 10 ft/s, we can calculate the initial momentum:

Initial momentum = 80 slugs × 10 ft/s = 800 slug·ft/s

b) Since the car bounces off the wall with the same speed, the final momentum of the car will be the same as the initial momentum:

Final momentum = Initial momentum = 800 slug·ft/s

c) The change in momentum of the car can be calculated as the difference between the final momentum and initial momentum:

Change in momentum = Final momentum - Initial momentum = 800 slug·ft/s - 800 slug·ft/s = 0 slug·ft/s

d) The impulse applied on the car by the wall can be calculated using the equation:

Impulse = Change in momentum

In this case, since the change in momentum is 0 slug·ft/s, the impulse applied on the car by the wall is also 0 slug·ft/s.

e) The net force applied on the car by the wall can be calculated using the impulse-momentum principle:

Net force = Impulse / Time

Since there was no impulse (as calculated in part d) and the time of contact with the wall is given to be 0.8 seconds, the net force applied on the car by the wall is 0 slug·ft/s / 0.8 s = 0 slug·ft/s².

Therefore, the answers to the questions are:

a) The initial momentum of the car is 800 slug·ft/s.
b) The final momentum of the car is 800 slug·ft/s.
c) The change in momentum of the car is 0 slug·ft/s.
d) The impulse applied on the car by the wall is 0 slug·ft/s.
e) The net force applied on the car by the wall is 0 slug·ft/s².