Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 ms⁻¹. To give an initial upward acceleration of 20 ms⁻²,...
- At a certain instant of time, the mass of a rocket going up vertically is 100 kg. If it is ejecting 5 kg of gas per second at a...
- A shell of mass 10 kg is moving with a velocity of 10 ms⁻¹ when it blasts and forms two parts of mass 9 kg and 1 kg respectively....
- If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely...
- Diwali rockets are ejecting 50 g of gases per second at a velocity of 400 ms⁻¹. The accelerating force on the rocket will be
- A satellite in force-free space sweeps up stationary interplanetary dust at a rate dM/dt = αv, where M is the mass, v is the...
- The rate of mass of the gas emitted from the rear of a rocket is initially 0.1 kg s⁻¹. If the speed of the gas relative to the...
- A shell initially at rest explodes into two pieces of equal mass. The two pieces will [J&K CET 2006]
- Two masses m₁ and m₂ (m₁ > m₂) are connected by a massless, flexible, inextensible string passed over a massless and frictionless...
- **Statement 1:** A rocket in flight is a system of varying mass. **Statement 2:** The rocket fuel is being consumed continuously.
- **Statement 1:** When a ball of mass m hits a wall normally with a velocity v and rebounds with the same velocity, the impulse...
- A rod of length L and weight W is kept horizontally on a support. A small weight w is hung at one end (the far end, at distance L...
- A spacecraft of mass M moving with velocity v in free space explodes into two pieces. After the explosion, a mass m of the...
- 100 g of an iron ball having velocity 10 ms⁻¹ collides with a wall at an angle 30° (measured from the wall) and rebounds with the...
- A ball of mass 0.2 kg is thrown normally against a wall with a speed of 1.75 ms⁻¹ and rebounds elastically. The impulse of the...
- A man weighing 60 kg is standing on a trolley weighing 240 kg. The trolley is resting on frictionless horizontal rails. If the...
- An object at rest in space suddenly explodes into three parts of the same mass. The momenta of two parts are 2p**î** and p**ĵ**....
- A rocket standing vertically on a launch pad has to start moving up with practically zero initial velocity. If the initial mass...
- A body weighs 8 g when placed in one pan and 18 g when placed on the other pan of a false balance. If the beam is horizontal when...
- A rocket with a lift-off mass 10⁵ kg is blasted upward with an initial acceleration of 5 ms⁻². If g = 10 ms⁻², then the initial...
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