A machine gun is attached to a railroad flatcar that rolls with negligible frict

Question

A machine gun is attached to a railroad flatcar that rolls with negligible friction. If the railroad car has a mass of 6.25 times 10^4 kg. how many bullets of mass 25 g would have to be fired at 250 m/s off the back to give the railroad car a forward velocity of 0.3 m s? 400 2000 3000 5000 Two masses m_1 and m_2, with m_3 m_2. undergo a head-on elastic collision. If the particles were approaching with speed v before the collision, with what speed are they moving after collision? 3v v/3 3v/4 v Rupel pushes a box 4.00 m by applying a 25.0-N horizontal force. What work does she do? 10.0J 100J 125J 550J The net force acting on a 12.6-kg object is given by F_x = (8 - x) N. where F_x, is in Newtons and x is in meters. How much work is done on the object as it moves from x = 0 to x = 6 m? 64 J 30 J 28 J 24 J The kinetic energy of an object is quadrupled Its momentum will change by factor? Zero two eight four

Explanation / Answer

1) Option (C) 3000 is the correct answer.

Explanation:

Given

M = 6.25 x 104 kg ; m = 25 g = 0.025 kg ; u = 250 m/s ; V = 0.3 m/s

We know from convervation of momentum that,

Pi = Pf

n x m x u + 0 = M x V

n x 0.025 x 250 =  6.25 x 104 kg x 0.3

n =  1.875 x 104 kg /6.25 = 3000

Hence Option (C) 3000 is the correct answer.

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