Center of MassHard
Question
A shell of mass 100 kg is fired horizontally from a cannon with a mass of 5 × 103 kg. The kinetic energy of the shell at the end of the barrel is 7.5 × 106 J. The kinetic energy imparted to the cannon by the recoil is :
Options
A.2 × 105 J
B.7.5 × 106 J
C.1.5 × 105 J
D.105 J
Solution
m = 100 kg
M = 5 × 103 kg
initially system is at rest
= 0, 
= 0, 
= 0
= − 
⇒ P2shell = P2Gun
Kshell =
KCannon = 
KConnon = Kshell 
= 1.5 × 105 J
M = 5 × 103 kg
initially system is at rest
= 0, = 0, = 0 = − ⇒ P2shell = P2Gun Kshell =
KCannon = KConnon = Kshell = 1.5 × 105 JCreate a free account to view solution
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