Question

If mass of an object is doubled and velocity is decreased to half then what will be change in kinetic energy

Answer 1

kinetic energy becomes half

u can use this formula

K. E. =(1/2)mv^2 ……… (1)

when, m=2m and v=(1/2)v

put in eq. 1

KE*=1/2* 2m*(1/2*v)^2

after solving u get

KE*=(1/2) * K. E.

(here symbol *means multiplication and ^means power)

I hope u got it

Answer 2

Kinetic energy (E) = ${dfrac{1}{2}mg^2}$

Given,

Velocity is reduced, then ${v_2=\dfrac{v_1}{2}}$

Mass is increased,

${m_2=2m_1}$

Therefore,

Kinetic energy = ${\dfrac{1}{2}(2m_1)(v_1/2)}$

Kinetic energy = ${\dfrac{2m_1*v_1}{4}}$

Kinetic energy = ${Initial\:kinetic\:energy/2}$