A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is

(a) 84J

(b) 68J

(c) 23J

(d) 8J

Concept Questions :-

Elastic potential energy
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Two springs with spring constants k1 = 1500 N/m and k2 = 3000 N/m are stretched by the same force. The ratio of potential energy stored in the springs will be 

1. 2:1

2. 1:2

3. 4:1

4. 1:4

Concept Questions :-

Elastic potential energy
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A block of mass 2 kg moving with velocity of 10 m/s on a smooth surface hits a spring of force constant 80×103 N/m as shown. The maximum compression in the spring is

1. 5 cm

2. 10 cm

3. 15 cm

4. 20 cm

Concept Questions :-

Elastic potential energy
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A particle of mass 10 kg is moving with velocity of 10x m/s, where x is displacement . The work done by net force during the displacement of particle from x = 4 to x = 9 m is 

1. 1250 J

2. 1000 J

3. 3500 J

4. 2500 J

Concept Questions :-

Concept of work
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A body starts moving from rest in straight line under a constant power source. Its displacement in time t is proportional to

(1) t1/2

(2) t

(3) t3/2

(4) t2

Concept Questions :-

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A block of mass m = 25 kg on a smooth horizontal surface with a velocity v = 3ms-1 meets the spring of spring constant k = 100 N/m fixed at one end as shown in the figure. The maximum compression of the spring and velocity of the block as it returns to the original position respectively are 

                     

1.  1.5m, -3ms-1

2.  1.5m, 0ms-1

3.  1.0m, 3ms-1

4.  0.5m, 2ms-1

Concept Questions :-

Elastic potential energy
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The velocity, given to the block of mass (m), is 72gl to rotate it in a circle of radius l. Calculate the height (h) where the block leaves the circle.

(1) 3l2

(2) 4l3

(3) 5l4

(4) None of these

Concept Questions :-

Work-Energy theorem
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If length of string is l = 103m, TmaxTmin=4

where Tmax= Maximum tension in the stringTmin=Minimum tension in the string.Velocity at highest point is -

1.  10 m/s

2.  20 m/s

3.  102m/s

4.  103 m/s

Concept Questions :-

Work-Energy theorem
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The relation between velocity (v) and time (t) is vt, then which one of the following quantity is constant?

1.  Force

2.  Power

3.  Momentum

4.  Kinetic Energy

Concept Questions :-

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A particle is moving on the circular path of the radius (R) with centripetal acceleration ac=k2Rt2. Then the correct relation showing power (P) delivered by net force versus time (t) is 

1. 1

2. 2

3. 3

4. 4

Concept Questions :-

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