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A person stops pushing the car after 6.00 s. In this case, the force exerted on the car is 305 N for the first 6.00 s and 215 N for the second 6.00 s.

(a) What is the final momentum of the car?
(b) What is the final speed of the car?

Answer :

a ) The final momentum of the car = 3120 N

b ) The final velocity of the car = 3120/m m / s

According to Newton's second law of motion,

F = pf - pi / t

F = Force

pf = Final momentum

pi = Initial momentum

t = Time

For the first 6 seconds,

F = 305 N

t = 6 s

pi = 0 ( Assuming the car is at rest initially )

305 = ( pf - 0 ) / 6

pf = 1830 N

For the next six seconds,

F = 215 N

t = 6 s

pi = 1830 N

215 = ( pf - 1830 ) / 6

1290 = pf - 1830

pf = 3120 N

In the final 6 seconds,

pf = 3120 N

m v = 3120 N

v = 3120 / m

Therefore,

a ) The final momentum of the car = 3120 N

b ) The final velocity of the car = 3120/m m / s

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