A large truck and a car, both moving with a velocity of magnitude $v$ , have a head-on collision. If the collision lasts for $1 s$ , which vehicle experiences greater change in momentum?

Both have the different change in momentum

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Both have the same change in momentum

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Car have more change in momentum than truck

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Truck have more change in momentum than Car

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Solution

The correct option is A Both have the same change in momentum
Let, Mass of truck $= M$
Mass of car $= m$
Velocity of truck $= v$
Time $= 1 s$

After collision,
According to third law of motion both the truck and the car will exert same force on each other in opposite direction at same time.

We know,

Force $=$ change in momentum per unit time.

$F =$ $\frac{m (v - u)}{t}$

$p$ = $m (v - u)$ = $F t$

because force and time is same for both the truck as well as car; so the change in momentum of truck is equal and opposite to change in momentum of car.

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A large truck and a car, both moving with a velocity of magnitude v, have a head-on collision. If the collision lasts for 1 s, which vehicle experiences greater change in momentum?

A large truck and a car, both moving with a velocity of magnitude $v$ , have a head-on collision. If the collision lasts for $1 s$ , which vehicle experiences greater change in momentum?