Question

a car of mass 1500kg collides with a wall. the initial and final speed of the car is -15m/s and 2.6m/s. if the collision last for 0.15 seconds. find the impulse caused by the collision and the average force on the car​

Answer 1

See the answers below.

Step-by-step explanation:

In order to solve this problem we must use the principle of conservation of momentum and the amount of movement. Where the car moves to the left with a negative speed sign while the force of the collision will be taken to the right.

`-m_(car)*v_(car1)+(F*t)=m_(car)*v_(car2)`

where:

Vcar1 = velocity of the car before the collision = - 15 [m/s]

F = impact force [N]

Vcar2 = velocity of the car after the collision = 2.6 [m/s]

`-(1500*15)+(F*t)=(2.6*1500)\\F*t=22500+3900\\F*t=26400[kg*m/s]`

Where the product of force by Time is equal to the impulse caused by the collision.

`And the force\\F = P/t\\F=26400/0.15\\F=176000[N]`