Acar of mass 1200 kg is traveling at 2 m/s. then it collides with a heavy boulder in the road. during the collision, the car moves forward only 15 cm before stopping. what is the average force exerted by the boulder on the car?
1.6 x 104 n
3.2 x 104 n
5.4 x 104 n
6.5 x 105 n
1.8 x 104 n

F = 1.6*10⁴ N

Explanation:

Given distance x = 0.15m, mass m = 1200kg, velocity v = 2m/s.

Unknown: force F

Force is given by Newton's law:

(1)

The average force to stop an object from a velocity will be the same force necessary to accelerate an object from rest to the same velocity.

The distance for an object starting from rest for a constant acceleration is given by:

(2)

The velocity for an object starting from rest for a constant acceleration:

(3)

Using equation 2 and 3 to eliminate time t:

(4)

Solving equation 4 for the acceleration a:

(5)

Using equation1 to solve for the force F:

(6)

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