Question

Question #88f22

Answer 1

`"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`