If the mass of a moving projectile is tripled and its velocity is doubled, the kinetic energy will be multiplied by

Options

A. 8
B. 6
C. 2
D. 12

Answer

D

Explanation

`KE=1//2mv^2, KE_o=1//2m_ov_o^2`
Increase `m_o` to `3m_o` , increase `v_o` to `3v_o` then :
`KE=1//2(3m_o)2v_o)^@2`
`KE=1//2(12)(m_ov_2^2)`
Therefore KE will be multiplied by 12 .