Home
Class 11
PHYSICS
The rate of mass of the gas emitted from...

The rate of mass of the gas emitted from the rear of a rocket is initially `0.1 kg//s`. If the speed of the gas relative to the rocket is `50 m//s` and the mass of the rocket is `2 kg` , then the acceleration of the rocket in `m//s^(2)` is

A

5

B

5.2

C

2.5

D

25

Text Solution

Verified by Experts

The correct Answer is:
C
`(dm)/(dt) = 0.1 kg// sec , v_(r) = 50m//s : m = 2kg`
Mass of rocket = 2kg
Law of conservation of momentum - Mv = cosnstant `rArr - v (dm)/(dt) + M (dv)/(dt) = 0`
`therefore (dv)/(dt) = (50 xx 0.1)/(2) = 2.5m//s^(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

For a Rocket propulsion velocity of exhaust gases relative to rocket is 2km/s. If mass of rocket system is 1000 kg, then the rate of fuel consumption for a rockt to rise up with acceleration 4.9 m//s^(2) will be:-

In a rocket of mass 1000 kg fuel is consumed at a rate of 40 kg/s . The velocity of the gases ejected from the rocket is 5xx10^(4)m//s . The thrust on the rocket is

A rocket of mass 120kg. Is fired in the gravity free space is ejected gases with velocity 600 m/s at the rate of 1kg/s. what will be the initial accleration of the rocket:-

At a certant of time the mass of a roket going up vertically is 100kg. If it is ejecting 5kg of gas per second at a speed of 400m//s , the acceleration of the rocket would be ("talking" g=10m//s^(2))

If M is mass of rocket, r is rate of ejection of gases and u is velocity of gases with respect to rocket then acceleration of the rocket dv/dt is equal to

In the first second of its flight a rocket ejects (1)/(60) of its mass with a reative velocity 2073ms^(-1) What is the initial acceleration of the rocket ? .

A diwali rocket is ejecting 0.05kg of gases per second at a velocity of 400m//sec . The accelerating force on the rocket is