Question

If an object is moving at `8 m/s` over a surface with a kinetic friction coefficient of `u_k=32 /g`, how far will the object continue to move?

Answer 1

`Delta x=1 " "m`

Explanation:

`F_f=u_k*m*g" friction force"`

`a=F_f/m=(u_k*cancel(m)*g)/cancel(m)`

`a=u_k*g`

`"given a="32/g`

`a=32/cancel(g)*cancel(g)`

`a=32 " "m/s^2`

`"its final velocity will be zero,if objects stops."`

`v_f^2=v_i^2-2*a*Delta x`

`v_f="the final velocity of object"`

`v_i="the initial velocity of object"`

`a=" acceleration"`

`Delta x=" displacement"`

`0=v_i^2-2*a*Delta x`

`v_i^2=2*a*Delta x`

`Delta x=v_i^2/(2*a)`

`Delta x=8^2/2*32`

`Delta x=1 " "m`