Home
Class 12
PHYSICS
A satellite in a force - free space swee...

A satellite in a force - free space sweeps stationary interplanetary dust at a rate `dM//dt = alpha v`, where `M` is the mass , `v`is the velocity of the satellite and `alpha` is a constant. What is the deacceleration of the satellite ?

A

`(-2alphav^(2))/(M)`

B

`(-alphav^(2))/(M)`

C

`(-alphav^(2))/(2M)`

D

`-alphav^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Thrust on the satellite,
`F=(-vdM)/(dt)=-(alphav)=-alphav^(2)`
Acceleration `=(F)/(M)=(-alpha v^(2))/(M)`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    DISHA PUBLICATION|Exercise Exercise-1: Concept Builder (Topicwise) (Topic 2: Momentum, Law of Conservation of Momentum and Impulse)|15 Videos

  • LAWS OF MOTION

    DISHA PUBLICATION|Exercise Exercise-1: Concept Builder (Topicwise) (Topic 3: Equilibrium of Forces, Motion of Connected Bodies and Pulley )|12 Videos

  • LAWS OF MOTION

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • JEE MAINS- 2019 (HELD ON :9TH APRIL 2019 (SHIFT-I))

    DISHA PUBLICATION|Exercise QUESTIONS|30 Videos

  • MAGNETISM AND MATTER

    DISHA PUBLICATION|Exercise EXERCISE-2:CONCEPT APPLICATOR|31 Videos

Similar Questions

Explore conceptually related problems

A satellite in force-free sweeps stationary interplanetary dust at a rate of dM/dt=alpha v , where M is mass and v is the speed of satellite and alpha is a constant. The tangential acceleration of satellite is

A satellite in a force-free space sweeps stationary interplantary dust at a rate (dM)/(dt) = beta upsilon , where upsilon is the speed of escaping dust w.r.t. satellite and M is the mass of saetllite at that instant. The acceleration of satellite is

A spaceship in space sweeps stationary interplanetary dust . As a result , its mass increase at a rate (dM(t))/(dt) =bv^(2) (t) , where v(t) is its instantaneous velocity . The instantaneous acceleration of the satellite is :

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

An equation relating to the stability of an aeroplane is given by (dv)/(dt) = g cos alpha - kv , where v is the velocity and g, alpha, k are constants. Find an expression for the velocity if v = 0 at t =0

An artificial satelite of the moon revolves in a circular orbit whose radius exceeds the radius of the moon eta times. The process of motion the satelite experiences a slight resistance due to cosmic dust. Assuming the resistance force to depend on the velocity of the satellite as F=alphav^2 , where alpha is a constant, find how long the satellite will stay in orbit until it falls onto the moon's surface.