Question #88f22

1 Answer
Jan 31, 2018

"Solution has been shown below."

Explanation:

  • The momentum of an object with mass of m and moving at a velocity of v can be calculated using the formula below.

P=m*v

  • Firstly the equation above must be written for two situation.

color(red)(P=m*v" 'initial case'")
"P:initial momentum , m:initial mass , v:initial velocity"

color(green)(P/2=2m*x" 'final case '")

P/2:"final momentum , 2m:final mass , x:final velocity"

  • Let's find the ratio of the two equations.

P/(P/2)=(m*v)/(2m*x)

cancel(P)*2/cancel(P)=cancel(m)*v*1/(2 .cancel(m.) x)

2=v/(2x)
2*2x=v

4x=v

x=v/4