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When mass of a body is doubled and speed...

When mass of a body is doubled and speed is halved, the kinetic energy of body will be

A

half

B

one-fourth

C

doubled

D

no change

Text Solution

Verified by Experts

The correct Answer is:
A
Kinetic energy, `K = (1)/(2) mv^(2)`
According to the question,
Mass = 2m, velocity = `(v)/(2)`
`therefore` Kinetic energy, `K. = (1)/(2) xx 2m xx ((v)/(2))^(2)`
`K. = (mv^(2))/(4) = (1)/(2) (mv^(2))/(2)`
`therefore" "K" = (1)/(2)K`
Therefore, the kinetic energy of body will be half.
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