Your Name Date Two drivers with the same mass (85.0 kg) manage to have a head on

Question

Your Name Date Two drivers with the same mass (85.0 kg) manage to have a head on collision in their vehicles. Driver H is in a Hummer with a mass of 3567 kg, moving at 20.0 m/s. Driver C is in a Mini Cooper with a mass of 1147 kg, moving at 37.0 m/s. The collision time is approximately 0.017s. Assume a perfectly inelastic collision, and no airbags. Given: Hummer mass 3567 kg driver mass-850 kg speed +20.0 mvs Cooper mass 1147 kg aver mass 85.0kg speed -37.0 m/s md mass of each driver 85.0 kg (Assume car mass includes driver.) mH- mass of Hummer H velocity of Hummer +20.0 m/s mc-mass ofCooper = 1 147 kg 3567 kg 2037 velocity of Cooper--37.0 m/s Ar duration of impact-0.017s 43.Which force is greater during the collision? Force of the Hummer on the Cooper. Both forces are equal in magnitude. b. d. Force of the Cooper on the Hummer. It depends on their color a. c. 44. Which vehicle experiences the greater absolute change in momentum? a. The Hummer.b. The Cooper. c. Both the same. What is the speed of the Hummer-Cooper system immediately after the collision? (Note that any minus signs in the equation are assumed to come from the conceptual relationship, not to the fact that the value for ve

Explanation / Answer

43. During collision both the cars exert equal and opposite forces on each other according to Newton's third law of motion. So, option (c).

44. As both the cars will have same speed after the collision for a perfectly inelastic collision, the car with smaller absolute momentum will suffer greater change of momentum. Out of two cars,

Hummer's initial momentum = (3567+85)×20 = 73040 kgm/s

Mini Cooper's initial momentum = (1147+85)×37 = 45584 kg.m/sec

It is clear from above that absolute change in momentum of Hummer's initial momentum is greater than Cooper. So, Cooper will experience more absolute change in momentum. Option b.

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