Momentum Change in Perfectly Inelastic Collision: Comparing Cars and Trucks

AI Thread Summary
In a perfectly inelastic collision between a compact car and a large truck, the truck experiences a larger momentum change due to its greater mass, despite both vehicles experiencing equal forces and time during the collision. The momentum change is calculated using the formula p=mv, indicating that mass is the primary factor when velocities are equal. The car, being lighter, undergoes a greater acceleration, as acceleration is inversely proportional to mass when force is constant (I=Ft). Ultimately, while the truck has a larger momentum change, the car experiences a greater acceleration during the collision. Understanding these principles clarifies the dynamics of momentum and acceleration in such collisions.
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Homework Statement



A compact car and a large truck collide head on and stick together (perfectly inelastic collison).

Which vehicle experiences the larger momentum change?

Which vehicle experiences the larger acceleration during the collision?

Explain your answers.

Homework Equations



p=mv
I=Ft

The Attempt at a Solution



I think that the truck has a larger momentum change because, first of all, it is conserved, so p=pfinal-initial

Assuming the velocities are the same, only the mass should affect the momentum. So that's why I thought the truck has a larger momentum change.

But I'm not sure..I look at I=Ft and the forces are equal, and so is the time..So would they have equal change in momentum?

HELP! thanks!
 
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The truck will carry on in the same direction with modified velocty, whereas the unfortunate car will find itself going backwards. Now which one has suffered the largest change in momentum? acceleration?
 
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