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 \(x\text-\)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 |
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