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Class 11

Physics

Laws of motion

Conservation of linear momentum and impulse

Statement 1 If the speed of a particle is 2 {~m} {~s}^{-1}, th

Question

Medium

Solving time: 3 mins

Statement 1
If the speed of a particle is $2 m s^{- 1}$ , the magnitude of its linear momentum (in $kg m s^{- 1}$ ) is numerically equal to its kinetic energy (in joule), irrespective of the mass of the particle.
and
Statement 2
Mass of a particle is equivalent to energy (in joule).

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

Statement-1 is True, Statement-2 is False

Statement-1 is False, Statement-2 is True

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IIT JEE Super Course in Physics Mechanics II (Pearson)

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Olivia Discussed

Statement 1
If the speed of a particle is

2 m s^{- 1}

, the magnitude of its linear momentum (in

kg m s^{- 1}

) is numerically equal to its kinetic energy (in joule), irrespective of the mass of the particle.
and
Statement 2
Mass of a particle is equivalent to energy (in joule).

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

mv = \frac{1}{2} mv^{2} \to v = 2 m s^{- 1}

E = mc^{2}

relates mass and energy.

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Question Text	Statement 1 If the speed of a particle is $2 m s^{- 1}$ , the magnitude of its linear momentum (in $kg m s^{- 1}$ ) is numerically equal to its kinetic energy (in joule), irrespective of the mass of the particle. and Statement 2 Mass of a particle is equivalent to energy (in joule).
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	69

Statement 1
If the speed of a particle is $2 m s^{- 1}$ , the magnitude of its linear momentum (in $kg m s^{- 1}$ ) is numerically equal to its kinetic energy (in joule), irrespective of the mass of the particle.
and
Statement 2
Mass of a particle is equivalent to energy (in joule).

Text solutionVerified

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Statement 1If the speed of a particle is 2 m s−1, the magnitude of its linear momentum (in kgms−1 ) is numerically equal to its kinetic energy (in joule), irrespective of the mass of the particle.andStatement 2Mass of a particle is equivalent to energy (in joule).

Text solutionVerified

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Statement 1
If the speed of a particle is $2 m s^{- 1}$ , the magnitude of its linear momentum (in $kg m s^{- 1}$ ) is numerically equal to its kinetic energy (in joule), irrespective of the mass of the particle.
and
Statement 2
Mass of a particle is equivalent to energy (in joule).