Question

How far will it go, given that the coefficient of kinetic friction is 0.10 and the push imparts an initial speed of 3.9 m/s ?

Answer 1

Answer:19.5 m

Explanation:

Given

coefficient of kinetic Friction $\mu _k=0.10$

Initial speed $u=3.9\ m/s$

Friction is present so it tries to stop to the object and stops it completely after moving certain distance let say s

maximum deceleration provided by friction is

$a_{max}=\mu _k\cdot g$

$a_{max}=0.1\times 3.9=0.39\ m/s^2$

using equation of motion

$v^2-u^2=2 as$

where $v=final\ velocity$

$u=initial velocity$

$a=acceleration$

$s=displacement$

$(0)-(3.9)^2=2\times (-0.39)\times s$

$s=19.5\ m$