An object of mass m is sliding with speed vi at some instant across a level tabletop, with which its coefficient of kinetic friction is µ. It then moves through a distance d and comes to rest. Which of the following equations for the speed vi is reasonable?
A) vi = v2µd
B) vi = v2µmgd
C) vi = v-2µmgd
D) vi = v-2µgd
E) vi = v2µgd

Respuesta :

Answer:

Explanation:

Given

initial speed [tex]=v_i[/tex]

coefficient of kinetic friction[tex]=\mu [/tex]

It moves a distance d after that it comes to rest

acceleration offered by table top[tex]=\mu g[/tex]

[tex]v^2-u^2=2as[/tex]

[tex]0-(v_i)^2=2(-\mu g)d[/tex]

[tex]v_i=\sqrt{2(\mu g)d}[/tex]

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