Comparing momentum and impulse of sleds

[marcuss]

1. The one sled has a mass of 2m and the other sled has a mass of m show that sled one with mass 2m has a momentum of root2 compared to the sled with mass m.

The only formulas that i could think to use were p=mv and sigmaF=dp/dt and i can't seem to find a way to relate them to get an answer so any help would be nice ty.

 

[alphysicist]

1. The one sled has a mass of 2m and the other sled has a mass of m show that sled one with mass 2m has a momentum of root2 compared to the sled with mass m.

The only formulas that i could think to use were p=mv and sigmaF=dp/dt and i can't seem to find a way to relate them to get an answer so any help would be nice ty.

Was that the entire problem, or were you told anything else about the sleds? For example were their kinetic energies related somehow, or did they tell you something about their motion?

 

[marcuss]

their kinetic energies were the same at the finish line

 

[rl.bhat]

Kinetic energy = 1/2*m*v^2 = 1/2*(m^2*v^2)/m = 1/2*p^2/m
Use this relation between energy and momentum.