A body of mass M hits normally a rigid wall with velocity v and bounces back with the same velocity. The impulse experienced by the body is
(1) 1.5 Mv
(2) 2 Mv
(3) zero
(4) Mv
A gramophone record is revolving with an angular velocity A coin is placed at a distance r from the centre of the record. The static coefficient of friction is The coin will revolve with the record if:
1. 2.
3. 4.
The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, its acceleration is:
(a) (b)
(c) (d)
Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is
(a) 0.5N
(b) 1.5N
(c) N
(d) N
A particle of mass m is projected with velocity v making an angle of with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
1. 2mv
2. mv/
3. mv
4. zero
Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be
1. Mv newton
2. 2Mv newton
3. newton
4. zero
A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration . If , the tension in the supporting cable is:
1. 9680 N
2. 11000 N
3. 1200 N
4. 8600 N
A car of mass m is moving on a level circular track of radius R. If represent the static friction between the road and tyres of the car, then the maximum speed of the car in circular motion is given by:
1. | \(\sqrt{\mu_{\mathrm{s}} \mathrm{mRg}} \) | 2. | \(\sqrt{\mathrm{Rg} / \mu_{\mathrm{s}}}\) |
3. | \(\sqrt{\mathrm{mRg} / \mu_{\mathrm{s}}} \) | 4. | \(\sqrt{\mu_{\mathrm{s} \mathrm{Rg}}}\) |
A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a?
1. 2ma/g+a
2. 2ma/g-a
3. ma/g+a
4. ma/g-a
Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r/2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is
1. 2
2. 3
3. 4
4. 1