Question

What happens to.The velocity of a body when mass is increased 4 times and kinetic energy constant?

Answer 1

Kinetic energy will also become 4 time of previous one

Answer 2

1st case;

velocity= v1

mass = m1

Ke= Ke1

2nd case;

velocity = v2

mass = 4m1

Ke=ke2

ke1= ke2

( since Ke is constant)

now;

ke1 = 1/2m1× v1^2

ke2= 1/2 4m1× v2^2

equating ke1 and ke2

1/2m1× v1^2 = 1/2 4m1× v2^2

( cancelling 1/2 and m1)

v1^2= 4v2^2

v1^2/v2^2 = 4/1

taking square roots both sides;

v1/v2= 2

therfore ;

v1= 2v2

hence, if the mass is made 4 times then the velocity will double...

HOPE THIS HELPED U!!