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QUESTION: 1

The blocks * A* and

Solution:

If *A* moves down the incline by 1 *metre*. *B* shall move up by **1/2** *metre*. If the speed of *B* is * v* then the speed of

Gain in K.E. = loss in P.E.

Solving, we get

The correct answer is:

QUESTION: 2

In the figure the variation of components of acceleration of a particle of mass 1*kg* 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

Solution:

Your answer is incorrect.

and

*∴ W* = 10 *J*

The correct answer is: 10J

QUESTION: 3

A block of mass * m* is being pulled up the rough incline by the agent delivering constant power

Solution:

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

QUESTION: 4

The potential energy (in *SI* units) of a particle of mass 2*kg* 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 :

Solution:

has same direction as that of

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

The correct answer is: 15*m*

QUESTION: 5

The potential energy of a particle of mass * m* free to move along

Solution:

From conservation of energy

*K*.*E*. + *P*.*E*. = *E*

*
∴ *The speed of particle at is zero.

QUESTION: 6

Work done by static friction on an object :

Solution:

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

QUESTION: 7

A man places a chain (of mass * m* and length

Solution:

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

The correct answer is:

QUESTION: 8

A collar * B* of mass 2

Solution:

Initial extension will be equal to 6 *m*.

From F.B.D. at *A* :

The correct answer is: 1440*N*

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 ** v_{0}** = 2

Solution:

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: 6*cm*

QUESTION: 10

Block * A* is hanging from a vertical spring and is at rest. Block

Solution:

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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