Home
Class 11
PHYSICS
A pendulum bob of mass 10^-2kg is raised...

A pendulum bob of mass `10^-2kg` is raised to a height `5xx10^-2m` and then released. At the bottom of its swing, it picks up a mass `10^-3kg`. To what height will the combined mass rise?

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Velocity of pendulum bob at bottom most point
`v_1=sqrt(2gh)=sqrt(2xx10xx5xx10^-2)=1m//s`
When the bob picks up a mass `10^-3kg` at the bottom, then by conservation of linear momentum the velocity of combined mass if given by
`m_1v_1+m_2v_2=(m_1+m_2)v`
`10^-2xx1+10^-3xx0=(10^-2+10^-3)v`
or `v=(10^-2)/(1.1xx10^-2)=10/11m//s`
Now, `h=(v^2)/(2g)=((10//11)^2)/(2xx10)=4.1xx10^-2m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Type 1|1 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise MiscellaneousExamples|9 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 Subjective|21 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 pendulum bob of mass 10^(-2) kg is raised to a height 5 xx 10^(-2) m and then released. At the bottom of its swing, it picks up a mass 10^(-3) kg . To what height will the combined mass rise?

A pendulum bob of mass 10^(-2) kg is raisted to hightof 5xx10^(-2) m and then released At the bottion of its swing , it up a mass of 10^(-3) kg to what hieght will the combimnated mass rise ? Take g=10ms^(-2)

Knowledge Check

  • A body of mass 5 kg is raised vertically to a height of 10 m by a force 170 N. The velocity of the body at this height will be

    A
    9.8 `ms^(-1)`
    B
    15 `ms^(-1)`
    C
    22 `ms^(-1)`
    D
    37 `ms^(-1)`

  • The weight of a body of mass 3 kg at a height of 12.8 xx 10^(6) m from the surface of the Earth is ______.

    A
    9.75 N
    B
    1.46 N
    C
    3.26 N
    D
    4.36 N

  • A second's pendulum has a hollow spherical bob of mass 25xx10^(-3)kg . It is replaced by another solid bob of same radius but of mass 50xx10^(-3)kg . Then the new time period will be

    A
    6s
    B
    4s
    C
    3s
    D
    2s

    • Similar Questions

    Explore conceptually related problems

    A bullet of mass 2 g travelling at a speed of 500 m//s is fired into a ballistic pendulum of mass 1.0 kg suspended from a cord 1.0 m long. The bullet penetrates the pendulum and emerges with a velocity of 100 m//s . Through what vertical height will the pendulum rise?

    A pendulum bob of mass m and length L is released from angle theta with the vertical. Find (a) the speed of the bob at the bottom of the swing and (b) tension in the string at that time

    A body of mass 4kg, is taken from a height of 5 m to a hegiht 10m. Find increase in potential energy.

    A body of mass 10kg is at height of 10m at point A as shown on a smooth track. Find speed at B.

    A steel ball of mass 0.1 kg falls freely from a height of 10 m and bounces to a height of 5.4 m from the ground. If the dissipated energy in this process is absorbed by the ball, the rise in its temperature is (specific heat of steel =460 K//kg^(@)//C,g=10 m//s^(2) )

    Home
    Profile