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
(a) 21 J (b) 26 J
(c) 13 J (d) 18 J
A ball moving with velocity collides head on with another stationery ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in ) after collision will be
(1)0,1
(2)1,1
(3)1,0.5
(4)0,2
A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is v, the power delivered to the particle is
1.
2.
3.
4.
An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of and 2 kg second part moving with a velocity of If the third part flies off with a velocity of its mass would be
1.
2.
3.
4.
A body of mass 1 kg is thrown upwards with a velocity It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction?
1. 20 J
2. 30 J
3. 40 J
4. 10 J
A block of mass \(M\) is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of \(k.\) The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be:
1. \(Mg/k\)
2. \(2Mg/k\)
3. \(4Mg/k\)
4. \(Mg/2k\)
A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is -
1. 100
2. 80
3. 40
4. 120
The potential energy of a system increases if work is done
(1) by the system against a conservative force
(2) by the system against a nonconservative force
(3) upon the system by a conservative force
(4) upon the system by a nonconservative force