A body is displaced from (0,0) to (1m,1m) along the path x=y by a force . The work done by this force will be :
1.
2.
3.
4.
When a body moves with a constant speed along a circle
(1) No work is done on it
(2) No acceleration is produced in the body
(3) No force acts on the body
(4) Its velocity remains constant
A sphere of mass m is tied to end of a string of length l and rotated through the other end along a horizontal circular path with speed v. The work done by centripetal force in full horizontal circle is
(1) 0
(2)
(3)
(4)
A force acts on a 30 gm particle in such a way that the position of the particle as a function of time is given by , where x is in metres and t is in seconds. The work done during the first 4 seconds is
(1) 5.28 J
(2) 450 mJ
(3) 490 mJ
(4) 530 mJ
A body of mass 6kg is under a force which causes displacement in it given by metres where t is time. The work done by the force in 2 seconds is-
(1) 12 J
(2) 9 J
(3) 6 J
(4) 3 J
A particle moves from position to position under the action of force The work done will be
(1) 100 J
(2) 50 J
(3) 200 J
(4) 75 J
A particle moves under the effect of a force F = Cx from x = 0 to x = x1. The work done in the process is
(1)
(2)
(3)
(4) Zero
A force (where k is a positive constant) acts on a particle moving in the xy-plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the force on the particle is:
1.
2.
3.
4. \(ka^2\)
The relationship between force and position is shown in the given figure (in a one-dimensional case). The work done by the force in displacing a body from \(x = 1\) cm to \(x = 5\) cm is:
1. \(20\) ergs
2. \(60\) ergs
3. \(70\) ergs
4. \(700\) ergs
Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from x = 0 to x = 35 m is equal to-
(1) 50 J
(2) 25 J
(3) 287.5 J
(4) 200 J