A ball of mass m moving with a velocity u rebounds from a wall. The collision is assumed to be elastic and the force of interaction between the ball and wall varies as shown in fig. then the value of $F_{0}$ is

mu/T

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2 mu/T

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4 mu/T

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mu/2 T

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Solution

The correct option is C
4 mu/T

Area under the force-time graph is impulse, and impulse is change in momentum.
Area of graph= change in momentum
$\Rightarrow \frac{1}{2} T F_{o} = 2 m u \Rightarrow F_{o} = \frac{4 m u}{T}$

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A ball of mass m moving with a velocity u rebounds from a wall. The collision is assumed to be elastic and the force of interaction between the ball and wall varies as shown in fig. then the value of F0 is

The correct option is C 4 mu/T Area under the force-time graph is impulse, and impulse is change in momentum. Area of graph= change in momentum ⇒12TFo=2mu ⇒Fo=4muT

A ball of mass m moving with a velocity u rebounds from a wall. The collision is assumed to be elastic and the force of interaction between the ball and wall varies as shown in fig. then the value of $F_{0}$ is

The correct option is C
4 mu/T

Area under the force-time graph is impulse, and impulse is change in momentum.
Area of graph= change in momentum
$\Rightarrow \frac{1}{2} T F_{o} = 2 m u \Rightarrow F_{o} = \frac{4 m u}{T}$