Home
Class 11
PHYSICS
A balloon with mass m is decending down ...

A balloon with mass m is decending down with an acceleration a (where a `lt` g ) . How much mass should be removed from it so that it strts moving up with an acceleration a?

A

`(2ma)/(g + a)`

B

`(2ma)/(g - a)`

C

`(ma)/(g + a)`

D

`(ma)/(g - a)`

Text Solution

Verified by Experts

Let upthrust of air be `F_(a)`, then for downward motion
`mg - F_(a) = ma " " or, F_(a) = m(g - a)`
For upward motion, `F_(a) - (m - Delta m)g = (m - Delta m)a`
or, `Delta m(g + a) = ma + mg - F_(a) = 2 ma`
`therefore" " Delta = (2ma)/(g + a)`
The option A is correct.
Promotional Banner

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (NEET)|3 Videos

  • NEWTON'S LAWS OF MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|24 Videos

  • NEWTON'S LAWS OF MOTION

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (WBJEE)|5 Videos

  • NATURE OF VIBRATION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|2 Videos

  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|19 Videos

Similar Questions

Explore conceptually related problems

A balloon of mass m descending with an acceleration a. What mass be dropped from the balloon so that it may go up with the same acceleration a?

A balloon of mass m descending with an acceleration a. What mass be dropped from the balloon so that it may go up with the same acceleration so that it

Mass of a balloon with its contents is 1.5kg. It is descending with an acceleration equal to half of acceleration due to gravity. If it is to go up with the same acceleration keeping the volume same, what amount of mass (in kg) should be decreased?

A lift of mass 200 kg is moving up with an acceleration of 4 m cdot s^(-2) . What is the tension in the lift cable? If the lift moves down with the same acceleration, what will be the tension in that case? [ g = 9.8 m cdot s^(-2) ]

A balloon of mass M, carrying some is descending with an acceleration a. When (1)/(4) th of the sand is emptied out the balloon, the balloon descends with a unifrom velocity. Find the initial mass of sand in the balloon.

Consider an elevator moving downwards with an acceleration a, the force exerted by a passenger of mass m in the floor of the elevator is

A person of mass m is standing in a lift. Find his apparent weight when the lift is (i) moving upwards with uniform acceleration a,