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Two identical cars hit each other and lock bumpers. In each of the following cas

ID: 1773498 • Letter: T

Question

Two identical cars hit each other and lock bumpers. In each of the following cases, what are the speeds of the cars immediately after coupling bumpers? (a) a car moving with a speed of 70 km/h approaches a stationary can km/h in the direction of moving car in the direction opposite to moving car in the direction perpendicular to moving car O (b) two cars approach each other with speeds of 70 km/h and 140 km/h, respectively km/h in the direction perpendicular to faster car in the direction perpendicular to slower car in the direction of faster car in the direction of slower car c)two cars travel in the same direction with speeds of 70 km/h and 140 km/h, respectively km/h in the direction opposite to initial motion in the same direction as initial motion in the direction perpendicular to initial motion

Explanation / Answer

a)

By conservation of momentum

MV=(M+M)Vf

Vf=V/2=70/2=35 km/h

in the direction of moving car

b)

By conservation of momentum

MV1+MV2=(M+M)Vf

Vf=(V1+V2)/2=(70-140)/2

Vf=-35 km/h

in the direction of the faster car

c)

from b

Vf=(70+140)/2=105 km/h

in the same direction as initial motion

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