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# and#m_2=2m_1#
where
The kinetic energy of the second ball would be