A 12 g bullet is accelerated from rest to a speed of 700 m/s as it travels 20 cm in gun barrel. Assuming the acceleration to be constant, how large was the accelerating force?
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Solution
m = 12 g = 12/1000 kg = 0.012 kg, u = 0 m/s v = 700 m/s S (distance) = 20 cm = 20/100 m = 0.2 m
Formula used: v² = u² + 2aS (700)² = (0)² + 2. a. (0.2) 490000 = 0.4 a a = 490000/0.4 a = 1225000 m/s² Force = mass×accelaration Force= 1225000 × 0.012 = 14700 newton