Question

if the mass of a block is increased four time find the factor by which is speed should change so that its kinetic energy remain the same​

Answer 1

Answer:

The speed should be halved.

Explanation:

Initial kinetic energy = KE

Initial mass = m

Initial velocity = v

KE = 1/2 x mv²

v²/2 = KE/m

New mass = m'

m' = 4m

New kinetic energy = KE'

KE' = KE

New velocity = v'

KE' = 1/2m'v'²

KE = 2mv'²

v'² = 1/2 x (KE/m)

But KE/m = v²/2

v'² = 1/2 x v²/2

v'² = v²/4

v' = v / 2

The speed should be halved.

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