A body of mass moving with uniform velocity of 40 m/s collides with another mass at rest and then the two together begin to move with uniform velocity of 30 m/s. The ratio of their masses is
(1) 0.75
(2) 1.33
(3) 3.0
(4) 4.0
A ball of mass m moving with a speed u undergoes a head-on elastic collision with a ball of mass nm initially at rest. The fraction of initial energy transferred to the heavier ball is
(1)
(2)
(3)
(4)
A sphere of mass m moving horizontally with velocity collides against a pendulum bob of mass m. If the two masses stick together after the collision, then the maximum height attained is
(1)
(2)
(3)
(4)
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 |
A body of mass 2 kg moving with a velocity of ms collides with another body of mass 3 kg moving with a velocity of ms . If they stick together, the velocity in ms of the composite body will be:
1.
2.
3.
4.
A body of mass 5 kg is moving with a velocity of 10 m/s. Now a force that delivers a constant power of 75 watts is applied to it for 10 s in the same direction. The velocity of the body after 10 s will be
1.
2. 20 m/s
3. 40 m/s
4. m/s
A mass of 4kg falls from a height h on the pan. Initially, the spring is in its natural length and mass of spring and pan are negligible. Spring constant of the spring is 1000 N/m. The mass compresses the spring by 0.5 m. Then the height 'h' is
1. 2.00 m
2. 1.56 m
3. 4.0 m
4. 2.625 m
Human heartbeats 72 times per minute. It pumps 1 cc blood in each pulse under the pressure of The power of the heart is
1. 0.2 watt
2. 0.02 watt
3. 0.024 watt
4. watt
A body having an initial kinetic energy 2 J collides with an identical body at rest. The maximum loss of kinetic energy in the collision will be:
1. | 2 J | 2. | Zero |
3. | 1 J | 4. | 1.5 J |
A particle is thrown at an acute angle with the horizontal. Select the incorrect statement.
1. | Power delivered by gravity is zero at all the point on the trajectory. |
2. | Power delivered by gravity is zero only at one point. |
3. | The average power of gravity is zero. |
4. | During the one-half journey, the power is negative and during the other half, the power is positive. |