An automobile has a mass of 2300kg and a velocity of +16m/s. It makes a rear-end

Question

An automobile has a mass of 2300kg and a velocity of +16m/s. It makes a rear-end collision with a stationary car whose mass is1800kg. The cars lock bumpers and skid off together with thewheels locked. a) what is the velocity of the two cars just afterthe collision? b) find the impulse (magnitude and direction) thatacts on the skidding cars from just after the collision until theycome to a halt. c) if the coefficient of kinetic friction betweenthe wheels of the cars and the pavement is k=0.80,determine how far the cars skid before coming to rest.
answer: a)+9.0m/s b)-3.7*104 Ns c) 5.2m

Explanation / Answer

mass m = 2300 kg

initial velocity u = 16 m / s

m ‘ = 1800 kg

u ‘ = 0

from law of conservation of momentum , mu + m’ u ‘ =( m+ m’ ) v

from this v = [ mu + m’ u ‘ ] / ( m +m’ )

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