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
A position dependent force \(F=7-2x+3x^2\) N acts on a small body of mass \(2\) kg and displaces it from \(x = 0\) to \(x = 5\) m. The work done in joule is:
1. | \(70\) | 2. | \(270\) |
3. | \(35\) | 4. | \(135\) |
A position-dependent force acts on a small body of mass 3 kg, displacing it from x = 0 to x = 2 m. The work done in joule is:
1. 20 J
2. 40 J
3. 10 J
4. 12 J
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.
A block of mass \(10\) kg, moving in the x-direction with a constant speed of \(10\) ms-1, is subjected to a retarding force \(F=0.1x\) J/m during its travel from \(x =20\) m to \(30\) m. Its final kinetic energy will be:
1. | 475 J | 2. | 450 J |
3. | 275 J | 4. | 250 J |
When a body moves non-uniformly on a circular path,
1. no work is done by the tangential force.
2. no work is done by the centripetal force.
3. work done by the tangential force is always positive.
4. work done by the centripetal force is negative.
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 the force F and the position x of a body is as shown in the figure. The work done in displacing the body from x = 1 m to x = 5 m will be:
1. | 30 J | 2. | 15 J |
3. | 25 J | 4. | 20 J |
The graph between the resistive force \(F\) acting on a body and the distance covered by the body is shown in the figure. The mass of the body is \(25\) kg and the initial velocity is \(2\) m/s. When the distance covered by the body is \(4\) m, its kinetic energy would be:
1. \(50\) J
2. \(40\) J
3. \(20\) J
4. \(10\) J