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*Answer can only contain numeric values

QUESTION: 1

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

Solution:

Area under curve

W = work done by resistive force F

The correct answer is: 10

*Answer can only contain numeric values

QUESTION: 2

A particle moves with a velocity under the influence of a constant force The instantaneous power (in **Js**** ^{–1}**) applied to the particle is :

Solution:

The correct answer is: 140

*Answer can only contain numeric values

QUESTION: 3

An electric motor creates a tension of 4500*N* in hoisting cable and reels it at the rate of 2*m/s*. What is the power of electric motor in *kW*?

Solution:

The correct answer is: 9

*Answer can only contain numeric values

QUESTION: 4

A body of mass 5*kg* is acted upon by a variable force. The force varies with the distance covered by the body. Find the kinetic energy (in *Joule*) of the body when the body has covered 30*m* distance? Assume that the body starts from rest.

Solution:

Work done by force when body has covered 25*m*

Area under curve upto distance 25*m*

Area between 25*m* to 30*m* is

So total work done by variable force till 30*m* is 250+45 = 295*Joule*

So, change in kinetic energy = 295*J*.

So final energy = 295*J*.

The correct answer is: 295

*Answer can only contain numeric values

QUESTION: 5

In the figure shown initially spring is in unstretched state and blocks are at rest. Now 100*N* force is applied on block *A* and *B* as shown in figure. After some time velocity of * A* becomes 2

Solution:

The correct answer is: -6

*Answer can only contain numeric values

QUESTION: 6

The potential energy for a force field is given by U(*x*,*y*) = sin(*x *+ *y*). The force acting on the particle of mass * m* at

Solution:

The correct answer is: 1

*Answer can only contain numeric values

QUESTION: 7

A spring of force constant 800*N/m* has an extension of 5*cm*. The work done (in *Joule*) in extending it from 5*cm* to 15*cm* is :

Solution:

The correct answer is: 8

*Answer can only contain numeric values

QUESTION: 8

The work done by the force where * A* is a constant and

Take, * A* = 50

Solution:

The correct answer is: 400

*Answer can only contain numeric values

QUESTION: 9

An object is moving along a straight line path from *P* to *Q* under the action of a force If the co-ordinate of *P* and *Q* in metres are (3, 2, –1) and (2,-1,4) respectively. Then the work done by the force in Joule is :

Solution:

The correct answer is: 15

*Answer can only contain numeric values

QUESTION: 10

Power supplied to a particle of mass 2*kg* varies with time as P = watt. Here * t* is time in

Solution:

Applying work energy theorem

Solving we get v = 2 m/s

The correct answer is: 2

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