Home
Class 12
PHYSICS
A machine which is 75 % efficient uses 1...

A machine which is 75 % efficient uses 12 J of energy lifting up a 1 kg mass through a certain distance . The mass is then allowed to fall through that distance. What will be its velocity at end of fall:

A

`sqrt(24) m//s`

B

`sqrt(32) m//s`

C

`sqrt(18) m//s`

D

`sqrt(19) m//s`

Text Solution

Verified by Experts

The correct Answer is:
c

Work done =`(75)/(100)xx12=9 J`.
`1/2mv^(2)=9impliesv=sqrt((2xx9)/(1))=sqrt(18)ms^(-1)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-II)|67 Videos
  • WORK , POWER , ENERGY AND COLLISIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-III)|5 Videos
  • WAVE OPTICS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

A cord is wound around the circumference of wheel of radius r. the axis of wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the cord at the end. The weight falls from rest. After falling through a distance h, the angular velocity of wheel will be

An electron falls throgh a distance of 1.5 cm in a uniform electric field of magnitude 2.0 xx10^(4) N c^(-1) the direction of the field is reversed keeping its magnitude unchanged and a proton falls through the same distance compute the time of falls in each case contrast the situation with that of free fall under gravity

Knowledge Check

  • An electron of mass m , Charge e falls through a distance h meter in a unfirom electric field E. Then time of fall

    A
    `t=sqrt(2hm)/(eE)`
    B
    `t=(2HM)/(eE)`
    C
    `t=sqrt(2eE)/(hm)`
    D
    `t=(2eE)/(hm)`
  • Statement-1 : A block of mass m starts moving on a rough horizontal surface with a velocity V. It stops due to friction between the block and the surface after moving through a certain distance. The surface is now tilted to angle of 30^(@) with the horizontal and the same block is made to go up on the surface with the same initial velocity V. The decrease in the mechanical energy in the second situation is smaller than that in the first situation. Statement-2 : The coefficient of friction between the block and the surface decreases with the increase in the angle of inclination.

    A
    statement-1 and 2 are true and statement-2 is a correct explanation for statement-1
    B
    statement-1 and 2 are true and statement-2 is not a correct explanation for statement-1
    C
    statement-1 is true, statement-2 is false
    D
    statement-1 is false, statement-2 is true.
  • A rigid horizontal smooth rod AB of mass 0.75 kg and length 40 cm can rotate freely about a fixed vertical axis through its mid-point O. Two rings each of mass 1 kg initially at rest at a distance 10 cm from O on either side of the rod. The rod is rotated with angular velocity of 30 rad s^(-1) . When the rings reach the ends of the rod, the angular velocity of the rod is :

    A
    5
    B
    10
    C
    15
    D
    20
  • Similar Questions

    Explore conceptually related problems

    The blades of a windmill sweep out a circle of area 30m^(2) . If the wind flows at a velocity 10ms^(-1) at right angles to the circle, what is the mass of the air passing through it in time t? What is the kinetic energy of the air? If the density of air is 1.2 kgm^(-3) , then calculate the electric power produced if the windmill converts 25% of wind energy into electrical energy.

    An object of mass 40 kg is raised to height of 5 m above the ground. What is its potential energy? If the object is allowed to fall, find its kinetic energy when it is half-way down.

    Consider a two particle system with particles having masses m_(1)andm_(2) . If the first particle is pushed towards the centre of mas through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

    A uniform disc of radius R has a hole cut out which has a radius r. The centre of hole is at a distance (R )/(2) from the centre of disc. The position of centre of mass is shifted through a distance x from 'O' find x. If in this question the values of R = 6 m and that if r = 1 m, calculate the value of shift from 'O' and state whether it is towards left or right of O.

    A Rough inclined plane with inclination 30^(@) with the horizontal has a block of 1 kg being pushed up the plane by a force of 10 N acting parallel to the plane. If the coefficient of friction between the block and the plane is 0.1 and block is pushed through a distance of 10 m along then incline. What are the increases in the (1) potential energy and (ii) kinetic energy of the block ?