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 23
 Homework Statement
 Ball of 8kg explodes in 2 pieces at height of 30m. Both pieces fly out vertically, after 2 seconds, one piece reach the ground while the other is 16m above ground. Find mass of small piece that hits the ground first.
 Homework Equations

Change in KE = Final KE
Initial momentum = final momentum
So to start off,
the piece that hits the ground first is the smaller piece.
So I can form the equations where:
where
##8(u_{8kg})= m_{1}v_{1}+m_{2}v_{2}##
##m_{1}+m_{2}= 8##
After 2 seconds,
##30 = v_{1}(2)+\frac{1}{2}at^{2}##
##v_{1}= 5.2m/s##
##(3016) = v_{2}(2)+\frac{1}{2}at^{2}##
##v_{2}= 2.8m/s##
Am I supposed to craft any more equations from here?
The KE equations:
Change in KE = final KE
Change in KE
##(\frac{1}{2}m_{1}5.2^2) +(\frac{1}{2}m_{2}2.8^2)  (\frac{1}{2}mu^2)##
the piece that hits the ground first is the smaller piece.
So I can form the equations where:
where
##8(u_{8kg})= m_{1}v_{1}+m_{2}v_{2}##
##m_{1}+m_{2}= 8##
After 2 seconds,
##30 = v_{1}(2)+\frac{1}{2}at^{2}##
##v_{1}= 5.2m/s##
##(3016) = v_{2}(2)+\frac{1}{2}at^{2}##
##v_{2}= 2.8m/s##
Am I supposed to craft any more equations from here?
The KE equations:
Change in KE = final KE
Change in KE
##(\frac{1}{2}m_{1}5.2^2) +(\frac{1}{2}m_{2}2.8^2)  (\frac{1}{2}mu^2)##