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  4. An object of mass 1 kg moving on a horizontal surface with initial velocity 8 m/s comes to rest after 10 s. If one wants to keep the object moving on the same surface with velocity 8 m/s the force required is

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Q. An object of mass $1\, kg$ moving on a horizontal surface with initial velocity $8\, m/s$ comes to rest after $10\,s$. If one wants to keep the object moving on the same surface with velocity $8\, m/s$ the force required is

Laws of Motion

Solution:

To find the frictional force offered by the ground
$v=u +a t$
$v=0$
$0=8-\mu g(10)$
$\mu=\frac{8}{100}=0.08$
To move the body with constant velocity on this surface, internal force applied should be equal to friction force, $F =\mu mg$
$=(0.08)(1)(10)=0.8\, N$