Calculate the change that should be affected in the velocity of a body to maintain the same kinetic energy if - Science - Work and Energy

Question

Calculate the change that should be affected in the velocity of
a body to maintain the same kinetic energy if the mass of the bpdy
is increased to four

Peyush Ramachandran · Accepted Answer

Let the original mass be m1 and the altered mass be
m2 ,original velocity be v1 and altered one
be v2
And m2 = 4m1
KE = ( 1 / 2 ) mv2
KE1 = ( 1 / 2 )
m1v12
and KE2 = ( 1 / 2 )
m2v22
=> KE2 = ( 1 / 2 )
4m1v22
=> it is mentioned that KE1 = KE2
so ( 1 / 2 ) m1v12 = ( 1 / 2 )
4m1v22
=> ( 1 / 4 ) = ( v2 / v1
)2
=> ( v1 / 2 ) = v2

Calculate the change that should be affected in the velocity of a body to maintain the same kinetic energy if the mass of the bpdy is increased to four.