Question

A sled slides along a horizontal surface for which the coefficient of kinetic friction is 0.25. Its velocity at point A is 8.0 m/s and at point B is 5.0 m/s. Use the impulse-momentum theorem to find how long the sled takes to travel from A to B.

Answer 1

sled takes 1.22 seconds to travel from A to B.

Step-by-step explanation:

impulse = change in momentum

`Force * time = mass 2 * velocity 2(vf) - mass 1 * velocity 1(vo)`

`F * t = m(vf - vo)`

`F * u * t = m(vf - vo)`

`mg * u * t = m(vf - vo)` (
`F = mg`)

`g * u * t = vf - vo`

`t = (vf -vo)/(g * u)`

`t = ((8 - 5))/((9.8 * 0.25))`

`t = 1.22 s`

t = 1.22 seconds.