FULL SCREEN | PRINTER VERSION BACK Chapter 07, Problem 55 presents a model for s

Question

FULL SCREEN | PRINTER VERSION BACK Chapter 07, Problem 55 presents a model for solving problems such as this one. A 1180-ko van, stopped at a traffic light, is hit directly in the rear by a 702-kg car traveling with a velocity of +1.91 m/s. Assume that the transmission of the van is in neutral, the brakes are not being applied, and the collision is elastic. What is the final velocity of (a) the car and (b) the van? (a) Number (b) Number Units Units By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Question Attempts: 0 of 15 used SAVE FOR LATER

Explanation / Answer

mass of the van (mV) = 1180 kg
Mass of the car (mC) = 702 kg
Applyinng conservation of momentum
m1u1 + m2u2 = m1V1 + m2V2
where u is initial velocities and V is final velocities
mV*(0) + mC*(1.91) = mV*(V1)+ (mC)*V2
0 + 702*1.91 = mV*(V1)+ (mC)*V2
mV*(V1)+ (mC)*V2 = 1340.82 -------------(1)
Since the collision is elastic therefore we know for elastic collision
V2 - V1 = u1- u2
V2 -V1 = 0 - 1.91
V2 = V1 -1.91
using this in equation 1
1180*V1 + 702*(V1 -1.91 ) = 1340.82
1882V1 - 130.82 - 1340.82
1882V1 = 2681.64
V1 = 1.425 m/s
V2 = V1 - 1.91
V2 = -0.485 m/s
-ve sign indicates that the direction of the car reversed after the collision.

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