A 10kg mass moves along x-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x = 0 to x = 8 cm ?
(1) 8 × 10–2 joules
(2) 16 × 10–2 joules
(3) 4 × 10–4 joules
(4) 1.6 × 10–3 joules
A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by
1. ymax = 20 m
2. ymax = 15 m
3. ymax = 11 m
4. ymax = 5 m
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
A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at x = 0 , its velocity at x = 12 m is
(1) 0 m/s
(2) 20√2 m/s
(3) 20√3 m/s
(4) 40 m/s
The relation between the displacement X of an object produced by the application of the variable force F is represented by a graph (as shown in the figure below). If the object undergoes a displacement from X=0.5 m to X=2.5 m the work done will be approximately equal to:
1. 16 J
2. 32 J
3. 1.6 J
4. 8 J
A particle is given a constant horizontal velocity from height h. Taking g to be constant every where, kinetic energy E of the particle w. r. t. time t is correctly shown in
(1)
(2)
(3)
(4)
The adjoining diagram shows the velocity versus time plot for a particle. The work done by the force on the particle is positive from
(1) A to B
(2) B to C
(3) C to D
(4) D to E
A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=−kx+ax3. Here k and a are positive constants. For x≥0, the functional form of the potential energy U(x) of the particle is-
(1)
(2)
(3)
(4)
A force F acting on an object varies with distance x as shown here. The force is in newton and x in metre. The work done by the force in moving the object from x = 0 to x = 6 m is
(1) 4.5 J
(2) 13.5 J
(3) 9.0 J
(4) 18.0 J
The potential energy of a system is represented in the first figure. the force acting on the system will be represented by:
1. | |
2. | |
3. | 4. |