Home
Class 11
PHYSICS
A rocket, with an initial mass of 1000kg...

A rocket, with an initial mass of `1000kg`, is launched vertically upwards from rest under gravity. The rocket burns fuel at the rate of `10kg` per second. The burnt matter is ejected vertically downwards with a speed of `2000ms^-1` relative to the rocket. If burning ceases after one minute, find the maximum velocity of the rocket. (Take g as constant at `10ms^-2`)

A

1232.6m//s

B

123.6m//s

C

12323.6m//s

D

NONE OF THE ABOVE

Text Solution

Verified by Experts

The correct Answer is:
A
After `1`min total `600kg` gases will be burnt.
`v=u-"gt"+V_r1n(m_0/m)`
`=0-10xx60+(2000)1n(1000/400)`
`=1232.6m//s`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Exercise 11.5|4 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Exercise 11.6|11 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Exercise 11.3|7 Videos

  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY|Exercise Comprehension type questions|15 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Medical entrances s gallery|19 Videos

Similar Questions

Explore conceptually related problems

A rocket with an initial mass of 1000 kg , is launched vertically upward from rest under gravity. The rocket burns fuel at the rate of 10 kg per second. The burnt matter is ejected vertically downwards with a speed of 2000 m//s relative to the rocket . Find the velocity of the rocket after 1 min of start.

A rocket of initial mass m_0 has a mass m_0(1-t//3) at time t. The rocket is lauched from rest vertically upwards under gravity and expels burnt fuel at a speed u relative to the rocket vertically downward. Find the speed of rocket at t=1 .

Knowledge Check

  • In a rocket, fuel burns at the rate of 1 kg s^-1 this fuel is ejected from the rocket with a velocity of 60 km s^-1 this exerts a force on the rocket equal to

    A
    6000N
    B
    60000N
    C
    60N
    D
    600N

  • In a rocket, fuel burns at the rate of 2 kg/s. This fuel gets ejected from the rocket with a velocity of 80 km/s. Force exerted on the rocket is -

    A
    16000 N
    B
    160000 N
    C
    1600 N
    D
    16 N

  • A rocket of mass 5000 kg is to be projected vertically upward. The gases are exhausted vertically downwards with velocity 1000ms^(-1) with respect to the rocket. What is the minimum rate of burning the fuel so as to just lift the rocket upwards against gravitational attraction ?

    A
    `49kgs^(-1)`
    B
    `147kgs^(-1)`
    C
    `98kgs^(-1)`
    D
    `196kgs^(-1)`

    • Similar Questions

    Explore conceptually related problems

    A rocket with a lift mass of 10,000 kg is blasted upwards with an acceleration of 10ms^(-2) . Calculate the initial thrust of the blast

    A rocket consumes 24kg of fuel per second The burnt gases escape the rocket at a speed of 6.4km//s relative to the rocket Calculate the upthrust recevied by the rocket Also calculate the velocity acquired by the rocket when the mass redues to 1//100th of its initial mass.

    In a rocket, fuel burns at the rate 2 kg/s. This fuel gets ejected from the rocket with velocity of 80 km/s. Force exerted on the rocket is

    a rocket of mass 1000 kg is to be projected vertically upwards the gases are exhausted vertically downwards with velocity 100ms^-1 with respect to the rocket what is the min rate of burning of fuel so as to just lift the rocket upwards against the gravitational attraction?(Take g= 10ms^-2 )

    a rocket of mass 1000 kg is to be projected vertically upwards the gases are exhausted vertically downwards with velocity 100ms^-1 with respect to the rocket what is the min rate of burning of fuel so as to just lift the rocket upwards against the gravitational attraction?(Take g= 10ms^-2 )

    Home
    Profile