(B) The kinetic energy $K$ of a body with mass $m$ and momentum $p$ is given by the relation $K = \frac{p^2}{2m}$.Since the momentum $p$ is the same f

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(B) The kinetic energy $K$ of a body with mass $m$ and momentum $p$ is given by the relation $K = \frac{p^2}{2m}$.Since the momentum $p$ is the same for both bodies,we have $K \propto \frac{1}{m}$.This implies that the kinetic energy is inversely proportional to the mass of the body.Therefore,the body with the smaller mass (the lighter body) will have more kinetic energy.

Class 11 Physics Work, Energy, Power and Collision Kinetic Energy

Easy

Two bodies of unequal masses have the same momentum. Which one will have more kinetic energy?

A
The heavier body
B
The lighter body
C
Both have equal kinetic energy
D
None of the above

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Class 11

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Work, Energy, Power and Collision

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Kinetic Energy

Three bodies $A, B$ and $C$ have equal kinetic energies and their masses are $400 \,g, 1.2 \,kg$ and $1.6 \,kg$ respectively. The ratio of their linear momenta is:

DifficultJEE MAIN 2024

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The kinetic energy of a particle increases by $300\%$. The percentage increase in its momentum is ........ $\%$.

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$A$ force of $10 \ N$ is applied on an object of mass $2 \ kg$ over a distance of $1 \ m$. What will be the kinetic energy gained by the object in $J$?

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Two masses of $1\,kg$ and $16\,kg$ are moving with equal kinetic energy. The ratio of the magnitude of their linear momentum is:

Easy

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If the kinetic energy of a body moving with a velocity of $(2 \hat{i} + 3 \hat{j} - 4 \hat{k}) \text{ m/s}$ is $87 \text{ J}$, then the mass of the body is: (in $\text{ kg}$)

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Two bodies of unequal masses have the same momentum. Which one will have more kinetic energy?

Similar Questions

Three bodies $A, B$ and $C$ have equal kinetic energies and their masses are $400 \,g, 1.2 \,kg$ and $1.6 \,kg$ respectively. The ratio of their linear momenta is:

The kinetic energy of a particle increases by $300\%$. The percentage increase in its momentum is ........ $\%$.

$A$ force of $10 \ N$ is applied on an object of mass $2 \ kg$ over a distance of $1 \ m$. What will be the kinetic energy gained by the object in $J$?

Two masses of $1\,kg$ and $16\,kg$ are moving with equal kinetic energy. The ratio of the magnitude of their linear momentum is:

If the kinetic energy of a body moving with a velocity of $(2 \hat{i} + 3 \hat{j} - 4 \hat{k}) \text{ m/s}$ is $87 \text{ J}$, then the mass of the body is: (in $\text{ kg}$)

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