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(A) The relationship between kinetic energy $(K)$,momentum $(p)$,and mass $(m)$ is given by the formula $K = \frac{p^2}{2m}$.Since the momentum $(p)$

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The light body

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(A) The relationship between kinetic energy $(K)$,momentum $(p)$,and mass $(m)$ is given by the formula $K = \frac{p^2}{2m}$.Since the momentum $(p)$ is the same for both bodies,the kinetic energy is inversely proportional to the mass $(K \propto \frac{1}{m})$.Therefore,the body with the smaller mass (the lighter body) will have a larger denominator,resulting in a greater value for kinetic energy.Thus,the lighter body has more kinetic energy than the heavier body.

$A$ light and a heavy body have the same momentum. Which one will have greater kinetic energy?

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$A$ light and a heavy body have the same momentum. Which one will have greater kinetic energy?

Similar Questions

$(a)$ What is meant by potential energy? Is potential energy a vector or scalar quantity?$(b)$ Give one example of a body having potential energy.

Calculate the amount of work done in moving a $50 \, kg$ mass through a distance of $10 \, m$ by applying a force of $100 \, N$. (in $, J$)

$A$ light and a heavy body have the same momentum. Which one will have greater kinetic energy?

Define power. $A$ boy of mass $45 \, kg$ climbs up $20$ steps in $20 \, s$. If each step is $25 \, cm$ high,calculate the power of the boy used in climbing. (Take $g = 10 \, m s^{-2}$)

State whether the following statement is true or false:In order to get minimum work,the angle between force and displacement should be $90^{\circ}$.

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Exam Paper Generator

Online Exam Module

$(a)$ What is meant by potential energy? Is potential energy a vector or scalar quantity?
$(b)$ Give one example of a body having potential energy.

State whether the following statement is true or false:
In order to get minimum work,the angle between force and displacement should be $90^{\circ}$.