A ball has a kinetic energy of 100 J. What would be the kinetic energy of a ball with twice the mass and half the momentum?
1 Answer
Explanation:
There exist a relationship between
Proof for this formula
"L.H.S."="KE"
color(white)("L.H.S.")=1/2m*v^2
color(white)("L.H.S.")=1/2*(m*v)^2*1/m
color(white)("L.H.S.")=1/(2m)*p^2
color(white)("L.H.S.")="R.H.S."
The question states that
p_2=1/2p_1 andm_2=2m_1
where
The kinetic energy of the second ball would be