An open knife edge of mass 'm' is dropped from a height 'h' on a wooden floor. If the blade penetrates upto the depth 'd' into the wood, the average resistance offered by the wood to the knife edge is 

(1) mg

(2) mg1hd

(3) mg1+hd

(4) mg1+hd2

Concept Questions :-

Gravitational Potential energy
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A body is moving along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to 

(1) t1/2

(2) t3/4

(3) t3/2

(4) t2

Concept Questions :-

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A batsman hits a sixer and the ball touches the ground outside the cricket field. Which of the following graph describes the variation of the cricket ball's vertical velocity v with time between the time t1 as it hits the bat and time t2 when it touches the ground 

(1)

(2)

(3)

(4)

Concept Questions :-

Work-Energy theorem
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The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x = 1 cm to x = 5 cm is -

(1) 20 ergs

(2) 60 ergs

(3) 70 ergs

(4) 700 ergs

Concept Questions :-

Work done by variable force
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The pointer reading v/s load graph for a spring balance is as given in the figure. The spring constant is-

(1) 0.1 N/cm

(2) 5 N/cm

(3) 0.3 N/cm

(4) 1 N/cm

Concept Questions :-

Elastic potential energy
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Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from x = 0 to x = 35 m is equal to-

(1) 50 J

(2) 25 J

(3) 287.5 J

(4) 200 J

Concept Questions :-

Work done by variable force
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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

Concept Questions :-

Work done by variable force
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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

Concept Questions :-

Gravitational Potential energy
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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 initial velocity is 2 m/s. When the distance covered by the body is 4m, its kinetic energy would be

(1) 50 J

(2) 40 J

(3) 20 J

(4) 10 J

Concept Questions :-

Work done by variable force
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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) 202m/s

(3) 203m/s

(4) 40 m/s

Concept Questions :-

Work done by variable force
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