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A small car makes a head-on collision with a large truck on an icy pavement. Bef

ID: 1436590 • Letter: A

Question

A small car makes a head-on collision with a large truck on an icy pavement. Before they collide, they were traveling with the same speed (but in opposite directions). During the collision, which vehicle experiences the greater collision force? During the collision, which vehicle experiences the greater acceleration? Which vehicle had the larger change in momentum? Which vehicle had the larger change in velocity? Assuming the car driver and the truck driver have the same mass, which driver experiences the greater force during the collision? A car, traveling at a speed of 10 m/s (22 mph) makes a head-on collision with a tree. Thanks to the "crumple zone" engineered in modem cars, the car decelerates (from 10 m/s to zero) as the front of the car crumples over an approximate 1-meter distance. What is the change in the momentum of the 7 5-kg driver? Assuming uniform deceleration, how much time elapses during the deceleration? What is the average force acting on the driver, assuming the driver is wearing his seatbelt, so he also decelerates from 10 m/s to zero over the same 1-meter distance. What would be the average force on the driver if he did not wear his seatbelt, and was stopped in a 0.5-cm distance by the tree itself?

Explanation / Answer

(1)
(a)
They will experience the same force.

(b)
Force = mass * acceleration
As the Small car has lighter mass, Therefore Small Car would have greater acceleration.

(c)
Change in Momentum = Impulse = F*t
As Force is same on both the Vehicles Therefore it would have same Change in Momentum.

(d)
Initial Speed was same for both the vehicles.
As the acceleration of small car is greater therefore it will have Larger velocity compared to Truck.

Small car would have the large change in velocity.

(e)
The Force on the driver in the small car would be Greater than the truck driver. As small car had grearter acceleration.

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