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.

Respuesta :

sled takes 1.22 seconds to travel from A to B.

Explanation:

impulse = change in momentum

[tex]Force \times time = mass 2 \times velocity 2(vf) - mass 1 \times velocity 1(vo)[/tex]

[tex]F \times t = m(vf - vo)[/tex]

[tex]F \times u \times t = m(vf - vo)[/tex]

[tex]mg \times u \times t = m(vf - vo)[/tex]    ( [tex]F = mg[/tex])

[tex]g \times u \times t = vf - vo[/tex]

[tex]t = \frac{vf -vo}{g \times u}[/tex]

[tex]t = \frac{(8 - 5)}{(9.8 \times 0.25)}[/tex]

[tex]t = 1.22 s[/tex]

t = 1.22 seconds.