Question:
A ball of mass m moves with speed $v$ and it strikes normally with a wall and reflected back normally. If its time of contact with wall is $t$, then find force exerted by ball on the wall.
A ball of mass m moves with speed $v$ and it strikes normally with a wall and reflected back normally. If its time of contact with wall is $t$, then find force exerted by ball on the wall.
Updated On: Nov 4, 2024
- $ \frac{2mv}{t} $
- $ \frac{mv}{t} $
- $ mvt $
- $ \frac{mv}{2t} $
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The Correct Option is A
Solution and Explanation
Initial velocity of ball $ =v $
When it strikes the wall normally and reflected back, then final velocity $ =-v $
Change in velocity $ =v-(-v)=2v $
Force exerted by the ball on the wall is given by
Newtons second law, i.e., $ F= ma $
$ =\frac{m\Delta v}{\Delta t} $
$ =\frac{m(2v)}{t} $
$ =\frac{2mv}{t} $
When it strikes the wall normally and reflected back, then final velocity $ =-v $
Change in velocity $ =v-(-v)=2v $
Force exerted by the ball on the wall is given by
Newtons second law, i.e., $ F= ma $
$ =\frac{m\Delta v}{\Delta t} $
$ =\frac{m(2v)}{t} $
$ =\frac{2mv}{t} $
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Concepts Used:
Laws of Motion
The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.
Newton’s First Law of Motion
Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.
Newton’s Second Law of Motion
Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Newton’s Third Law of Motion
Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.