A machine gun fires a bullet of mass 35 gram with a speed of 600 ~m / s . The person holding the gum can extract a maximum force of 147 N on it. The number of bullets that can be fired from the gun per second is

Step-by-step solution

The force exerted by the gun equals the rate of change of momentum of the bullets. For each bullet of mass m = 0.035 kg fired at speed v = 600 m/s , the momentum per bullet is mv . If n bullets are fired per second, the rate of change of momentum is n (m v) . Using Newton’s second law, F = n m v , with F = 147 N : 147 = n (0.035 600) Since 0.035 600 = 21 , we have: 147 = 21n Solving for n : n = 147 21 = 7 Final answer: 7