A machine gun fires 50gm bullets at a speed of 1km/s. The gunman holding the gun can exert an average force of 180N against the gun. Determine the maximum number of bullets he can fire per minute.

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Solution

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$m a s s o f e a c h b u l l e t = m = 50 g m = 0.05 k g v e l o c i t y o f e a c h b u l l e t e v = 1 k m / s = 1000 m / s L e t n b e t h e n u m b e r o f b u l l e t s f i r e d p e r s e c o n d T h e c h a n g e i n m o m e n t u m o f t h e b u t t e l t s c o m i n g o u t p e r s e c o n d i s = F o r c e e x e r t e d o n g u n m a n = n \times 0.05 \times 1000 = n \times 50 w h i c h i s e q u a l t o 180 N T h e r e f o r e n \times 50 = 180 n = 180 / 50 n \approx 4 R e g a r d s$

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