JEE Main · PhysicsMedium
A rocket of initial mass $M = 1000 \text{ kg}$ ejects gas at a rate of $\frac{dM}{dt} = 20 \text{ kg/s}$ with a velocity of $u = 500 \text{ m/s}$ relative to the rocket. What is the initial acceleration $a$ of the rocket? (Take $g = 10 \text{ m/s}^2$)
- A.$0 \text{ m/s}^2$
- B.$5 \text{ m/s}^2$
- C.$10 \text{ m/s}^2$
- D.$20 \text{ m/s}^2$
Show correct answer & step-by-step solution
Correct answer: A — $0 \text{ m/s}^2$
Solution
The thrust force is . The weight of the rocket is . Since the thrust equals the weight, the net force is zero and the initial acceleration is .
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Physics topics you need to revise.
Attempt & Track Free →More Laws of Motion practice questions
- A force of 10 N acts on a body of mass 2 kg. What is the acceleration produced in the body?
- Which of the following is a measure of the inertia of a body?
- A rocket works on the principle of conservation of which physical quantity?
- If a body is moving with constant velocity, what is the net external force acting on it?
- An impulse is equal to the change in which quantity?
- A block of mass 5 kg is placed on a rough horizontal surface with coefficient of static friction 0.4. A horizontal force
- A body of mass 2 kg is moving along the x-axis with a velocity of 4 m/s. A force of 6 N is applied in the negative x-dir
- Two blocks of masses 3 kg and 2 kg are connected by a light string passing over a frictionless pulley. The system is rel
- A particle of mass 0.5 kg is moving in a circle of radius 2 m with a constant speed of 4 m/s. What is the net force acti
- A block of mass m is placed on a wedge of mass M and angle theta. The wedge is placed on a smooth horizontal surface. If
- A particle of mass m moves along a circle of radius R with a constant speed v. What is the average force exerted on the