A ball with a mass of #1 kg# moving at #9 m/s# hits a still ball with a mass of #6 kg#. If the first ball stops moving, how fast is the second ball moving? How much heat energy was lost in the collision?

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Answer 1 · 2017-05-16T06:03:39

The velocity of the second ball is #=1.5ms^-1#
The loss of energy is #=33.75J#

#m_1u_1+m_2u_2=m_1v_1+m_2v_2#

Plugging in the values

#1*9+0=0+6*v_2#

#v_2=9/6=3/2ms^-1#

The loss in energy is

#=1/2m_1v_1^2-1/2m_2v_2^2#

#=1/2*1*9^2-1/2*6*9/4#

#=81/2-27/4#

#=135/4J#

#=33.75J#