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A car is traveling at 35 m/s when it collides head-on with another vehicle (m = 2500 kg) traveling in the opposite direction. In the collisi
Question
A car is traveling at 35 m/s when it collides head-on with another vehicle (m = 2500 kg) traveling in the opposite direction. In the collision, the two vehicles come to a halt. At what speed was the 2500 kg vehicle traveling? (mass of the car is 1180 kg)
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Physics
4 years
2021-07-21T20:04:20+00:00
2021-07-21T20:04:20+00:00 1 Answers
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Answer:
The second car was traveling at a speed of 16.52m/s
Explanation:
This type of collision is an inelastic collision when the total kinetic energy of the collision is conserved or when the bodies stick together
Given that
Mass m1=1180kg
m2=2500kg
u1=35m/s
u2=?
Since they came to an halt after collision v1= v2=v=0
Momentum before collision
=m1u1+m1u2
Momentum after collision
=(m1+m2) v
According to the principle
=m1u1+m1u2=(m1+m2)v
To find the initial velocity of the second car let us substitute this data into the expression
1180*35+2500*u2=(1180+2500)0
41300+2500u2=0
u2=41300/2500
u2=16.52m/s