Question

If a force equal to the weight of the body acts on a body moving with a velocity v. Then the distance in which it stops

Answer 1

Newton's first law of motion states that "An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force." ... Moving objects, so it was believed, would eventually stop moving; a force was necessary to keep an object moving

Answer 2

Given that,

Force is equal to the weight of the body.

To find,

The distance in which the body stops.

Solution,

Here, force is equal to the weight of the body such that,

F = mg

Its initial speed is v and finally it stops i.e. its final speed is equal to 0. Now using equation of motion to find the distance covered such that,

$-v^2=2(\dfrac{F}{m})h\\\\h=\dfrac{-v^2m}{2F}$

h is the distance traveled by the body after this it will stop.

Learn more,

Kinematics

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