A diwali rocket is ejecting 0.05 kg of gases per second at a velocity of 400 m s -1 . The accelerating force on the rocket is
( a ) 20 dyne ( b ) 20 newton
( c ) 20 kg wt ( d ) sufficient data not given
We have,
dm/dt = 0.05 kg/s
v = 400 m/s
We know,
P = mv
=> dP/dt = d(mv)/dt = v(dm/dt) + m(dv/dt)
=> F = v(dm/dt) + 0
=> F = (400)(0.05)
=> F = 20 N