Professional Application Consider the following question: A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seat belt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg. Would the answer to this question be different if the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed? Explain your answer.
Step-by-step solution In this problem a car is moving with a certain velocity collides with a tree so, calculate the force the seat exerts on the passenger to bring him to halt also consider the same condition with different passengers mass and also travelling in the opposite direction as per the given data respectively: Step 1 of 7 A car moving with the speed of 10 m/s crashes into a tree and get stop in 0.26 s. Therefore, the passenger has initial speed, The final speed is, Step 2 of 7 Thus, the change in speed is, hence , the change in velocity of the car is -10m/s Step 3 of 7 Therefore, magnitude is, Step 4 of 7 The expression of exerted force is: Substitute for , for and for . Therefore, the exerted force is .