Momentum and stopping distance

[test2morrow]

Homework Statement

Two objects have different masses, but the same momenta. If you stop them with the same retarding force, which one will stop in the shorter distance. The heavier or lighter one? Or will both have the same distance?

Homework Equations

The Attempt at a Solution

Wouldn't the heavier one take more force to stop it, thus leading to a greater distance? However, the correct answer is that the heavier one will stop in the shorter distance. Explain, thanks!

 

[negitron]

What's the equation which relates momentum to mass and velocity?

 

[rl.bhat]

retarding force X distance moved = change in kinetic energy.
Can you find the relation between momentum and kinetic energy?

 

[test2morrow]

p=mv

change in KE=fd

KE=1/2m(v^2)


KE=p^2/2m

So basically, the greater the mass, the smaller the KE. And the smaller the KE, the smaller the distance. ok...thanks.