An object of mass \(500\) g initially at rest is acted upon by a variable force whose \(x\)-component varies with \(x\) in the manner shown. The velocities of the object at the points \(x=8\) m and \(x=12\) m would have the respective values of nearly:
1. | \(18\) m/s and \(22.4\) m/s | 2. | \(23\) m/s and \(22.4\) m/s |
3. | \(23\) m/s and \(20.6\) m/s | 4. | \(18\) m/s and \(20.6\) m/s |
Force \(F\) on a particle moving in a straight line varies with distance \(d\) as shown in the figure. The work done on the particle during its displacement of \(12\) m is:
1. \(21\) J
2. \(26\) J
3. \(13\) J
4. \(18\) J
A body of mass 3 kg is under a constant force which causes a displacement s in metres in it, given by the relation s = t2, where t is in sec. Work done by the force in 2 sec is:
1.
2.
3.
4.
\(300 ~\text{J}\) of work is done in sliding a \(2~\text{kg}\) block up an inclined plane of height \(10~\text{m}\). Taking \(g=\) \(10\) m/s2, work done against friction is:
1. \(200 ~\text{J}\)
2. \(100 ~\text{J}\)
3. \(\text{zero}\)
4. \(1000 ~\text{J}\)
A force \(F\) acting on an object varies with distance \(x\) as shown below:
The force is in Newton and \(x\) is in meters. The work done by the force in moving the object from \(x = 0\) to \(x = 6\) m is:
1. | \(18.0\) J | 2. | \(13.5\) J |
3. | \(4.5\) J | 4. | \(9.0\) J |