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Work, Power And Energy MCQ Level - 2


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10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Work, Power And Energy MCQ Level - 2

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Work, Power And Energy MCQ Level - 2 - Question 1

The blocks A and B shown in the figure have masses MA = 5kg and MB = 4 kg. The system is released from rest. The speed of B after A has traveled a distance 1 m along the incline is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 1

If A moves down the incline by 1 metreB shall move up by 1/2 metre. If the speed of B is v then the speed of A will be 2v.
Gain in K.E. = loss in P.E.

Solving, we get

The correct answer is: 

Work, Power And Energy MCQ Level - 2 - Question 2

In the figure the variation of components of acceleration of a particle of mass 1kg is shown w.r.t. time. The initial velocity of the particle is  The total work done by the resultant force on the particle in time interval from t = 0 to t = 4 second is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 2

Your answer is incorrect.
 and 


 
 

∴ W = 10 J
The correct answer is: 10J

Work, Power And Energy MCQ Level - 2 - Question 3

A block of mass m is being pulled up the rough incline by the agent delivering constant power P. The coefficient of friction between the block and the incline is µ. The maximum speed of the block during the courses of ascent is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 3

Let at any time the speed of the block along the incline upwards be v.
Then from Newton’s second law


the speed is maximum when 

Work, Power And Energy MCQ Level - 2 - Question 4

The potential energy (in SI units) of a particle of mass 2kg in a conservative fields U = 6x – 8y. If the  initial velocity of the particle is   then the total distance traveled by the particle in first two seconds is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 4


 has same direction as that of 

Since  are in same direction, particle will move along a straight line

The correct answer is: 15m

Work, Power And Energy MCQ Level - 2 - Question 5

The potential energy of a particle of mass m free to move along x-axis is given by  for x < 0 and U = 0 for  x ≥ 0 (x denotes the x-coordinate of the particle and k is a positive constant). If the total mechanical energy of the particle is E, then its speed at x = -(2E/k)1/2 

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 5

From conservation of energy
K.E. + P.E. = E


∴  
The speed of particle at  is zero. 
 

Work, Power And Energy MCQ Level - 2 - Question 6

Work done by static friction on an object :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 6

Consider the blocks shown in the figure to be moving together due to friction between them. The free body diagrams of both the blocks are shown below.

Work done by static friction on A is positive and on B is negative.
The correct answer is: may be positive

Work, Power And Energy MCQ Level - 2 - Question 7

A man places a chain (of mass m and length l) on a table slowly. Initially the lower end of the chain just touches the table. The man drops the chain. When half of the chain is in vertical position, the potential energy of chain is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 7

The work done by man is negative of magnitude of decrease in potential energy of chain

The correct answer is: 

Work, Power And Energy MCQ Level - 2 - Question 8

A collar B of mass 2kg is constrained to move along a horizontal smooth and fixed circular track of radius 5m. The spring lying in the plane of the circular track and having spring constant 200N/m is undeformed when the collar is at A. If the collar starts from rest at B the normal reaction exerted by the track on the collar when it passes through A is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 8

Initial extension will be equal to 6 m.

From F.B.D. at A :

The correct answer is: 1440N

Work, Power And Energy MCQ Level - 2 - Question 9

The spring block system lies on a smooth horizontal surface. The free end of the spring is being pulled towards right with constant speed v0 = 2m/s. At t = 0 sec, the spring of constant k = 100 N/cm in unstretched and the block has a speed 1m/s to left. The maximum extension of the spring is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 9

In the frame (inertial w.r.t. earth) of free end of spring, the initial velocity of block is 3 m/s to left and the spring unstretched.

Applying conservation of energy between initial and maximum extension state.

The correct answer is: 6cm

Work, Power And Energy MCQ Level - 2 - Question 10

Block A is hanging from a vertical spring and is at rest. Block B strikes the block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is :

Detailed Solution for Work, Power And Energy MCQ Level - 2 - Question 10

The initial extension in spring is 
Just after collision of B with A the speed of combined mass is v/2.

For the spring to just attain natural length the combined mass must rise up by  (see fig.) and comes to rest.

Applying conservation of energy between initial and final states.

Alternate solution by SHM

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