00. Momentum, Force and Inertia
Laws of Motion

145804 The momentum of the particle at any instant is given by \(3 \cos 4 t \hat{i}+3 \sin 4 t \hat{j}\). What is the angle between momentum and force acting on it?

1 \(60^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Laws of Motion

145806 A machine gun of mass \(10 \mathrm{~kg}\) fires \(30 \mathrm{~g}\) bullets at the rate of \(6 \mathrm{bullet} / \mathrm{s}\) with a speed of \(400 \mathrm{~m} / \mathrm{s}\). The force required to keep the gun in position will be

1 \(30 \mathrm{~N}\)
2 \(40 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 \(400 \mathrm{~N}\)
Laws of Motion

145807 A ball of mass \(0.5 \mathrm{~kg}\) moving with a velocity of \(2 \mathrm{~m} / \mathrm{sec}\) strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is:

1 2000 newton
2 1000 newton
3 5000 newton
4 125 newton
Laws of Motion

145808 If the force on a rocket, moving with a velocity \(500 \mathrm{~m} / \mathrm{s}\) is \(400 \mathrm{~N}\), then the rate of combustion of the fuel will be:

1 \(0.8 \mathrm{~kg} / \mathrm{sec}\)
2 \(10.8 \mathrm{~kg} / \mathrm{sec}\)
3 \(8 \mathrm{~kg} / \mathrm{sec}\)
4 \(1.6 \mathrm{~kg} / \mathrm{sec}\)
Laws of Motion

145804 The momentum of the particle at any instant is given by \(3 \cos 4 t \hat{i}+3 \sin 4 t \hat{j}\). What is the angle between momentum and force acting on it?

1 \(60^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Laws of Motion

145806 A machine gun of mass \(10 \mathrm{~kg}\) fires \(30 \mathrm{~g}\) bullets at the rate of \(6 \mathrm{bullet} / \mathrm{s}\) with a speed of \(400 \mathrm{~m} / \mathrm{s}\). The force required to keep the gun in position will be

1 \(30 \mathrm{~N}\)
2 \(40 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 \(400 \mathrm{~N}\)
Laws of Motion

145807 A ball of mass \(0.5 \mathrm{~kg}\) moving with a velocity of \(2 \mathrm{~m} / \mathrm{sec}\) strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is:

1 2000 newton
2 1000 newton
3 5000 newton
4 125 newton
Laws of Motion

145808 If the force on a rocket, moving with a velocity \(500 \mathrm{~m} / \mathrm{s}\) is \(400 \mathrm{~N}\), then the rate of combustion of the fuel will be:

1 \(0.8 \mathrm{~kg} / \mathrm{sec}\)
2 \(10.8 \mathrm{~kg} / \mathrm{sec}\)
3 \(8 \mathrm{~kg} / \mathrm{sec}\)
4 \(1.6 \mathrm{~kg} / \mathrm{sec}\)
Laws of Motion

145804 The momentum of the particle at any instant is given by \(3 \cos 4 t \hat{i}+3 \sin 4 t \hat{j}\). What is the angle between momentum and force acting on it?

1 \(60^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Laws of Motion

145806 A machine gun of mass \(10 \mathrm{~kg}\) fires \(30 \mathrm{~g}\) bullets at the rate of \(6 \mathrm{bullet} / \mathrm{s}\) with a speed of \(400 \mathrm{~m} / \mathrm{s}\). The force required to keep the gun in position will be

1 \(30 \mathrm{~N}\)
2 \(40 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 \(400 \mathrm{~N}\)
Laws of Motion

145807 A ball of mass \(0.5 \mathrm{~kg}\) moving with a velocity of \(2 \mathrm{~m} / \mathrm{sec}\) strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is:

1 2000 newton
2 1000 newton
3 5000 newton
4 125 newton
Laws of Motion

145808 If the force on a rocket, moving with a velocity \(500 \mathrm{~m} / \mathrm{s}\) is \(400 \mathrm{~N}\), then the rate of combustion of the fuel will be:

1 \(0.8 \mathrm{~kg} / \mathrm{sec}\)
2 \(10.8 \mathrm{~kg} / \mathrm{sec}\)
3 \(8 \mathrm{~kg} / \mathrm{sec}\)
4 \(1.6 \mathrm{~kg} / \mathrm{sec}\)
Laws of Motion

145804 The momentum of the particle at any instant is given by \(3 \cos 4 t \hat{i}+3 \sin 4 t \hat{j}\). What is the angle between momentum and force acting on it?

1 \(60^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
Laws of Motion

145806 A machine gun of mass \(10 \mathrm{~kg}\) fires \(30 \mathrm{~g}\) bullets at the rate of \(6 \mathrm{bullet} / \mathrm{s}\) with a speed of \(400 \mathrm{~m} / \mathrm{s}\). The force required to keep the gun in position will be

1 \(30 \mathrm{~N}\)
2 \(40 \mathrm{~N}\)
3 \(72 \mathrm{~N}\)
4 \(400 \mathrm{~N}\)
Laws of Motion

145807 A ball of mass \(0.5 \mathrm{~kg}\) moving with a velocity of \(2 \mathrm{~m} / \mathrm{sec}\) strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is:

1 2000 newton
2 1000 newton
3 5000 newton
4 125 newton
Laws of Motion

145808 If the force on a rocket, moving with a velocity \(500 \mathrm{~m} / \mathrm{s}\) is \(400 \mathrm{~N}\), then the rate of combustion of the fuel will be:

1 \(0.8 \mathrm{~kg} / \mathrm{sec}\)
2 \(10.8 \mathrm{~kg} / \mathrm{sec}\)
3 \(8 \mathrm{~kg} / \mathrm{sec}\)
4 \(1.6 \mathrm{~kg} / \mathrm{sec}\)