Question

a 507-kg car is in a collision with a 948-kg car. during the collision, the car applies a maximum force of 7,849 n on the truck. what is the magnitude of the maximum force that the truck applies on the car?

Answer 1

In a collision of 507 kg car with 948 kg truck, the maximum force that the truck applies on the car is 4208 N

Referring to the free-body diagram of each object:

• Forces applied on truck

- Force from car to truck (Fct)

- Static friction force (Ft)

The net force = 0, hence,

Fct = Ft

7849 = μ . 948 . 10

Where μ is the coefficient of static friction

Hence,

μ = 7849 / 9480 = 0.83

This coefficient of static friction is assumed to be the same for the static friction force of truck and car.

• Forces applied on car

- Force from truck to car (Ftc)

- Static friction force (Fc)

The net force = 0, hence,

Ftc = Fc

Ftc = μ . 507 . 10 = 0.83 . 507 . 10 = 4208 N

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