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11th Physics Weekly Test - 1 ( Work, Energy and Power )

MABS Institution

11th Physics Weekly Test - 1 ( Work, Energy and Power )-Aug 2020

Time : 1.30 Hours

Part - A

Multiple Choice Question - Answer All Question

A particle is projected making an angle of 45° with horizontal having kinetic energy K. The kinetic energy at highest point will be

\(\frac{K}{\sqrt 2}\)
\(\frac{K}{2}\)
2K
k

A particle is dropped from a height h. A constant horizontal velocity is given to the particle. Taking g to be constant everywhere, kinetic energy E of the particle with respect to time z is correctly shown in:

One horsepower (1 hp) is

476 W
674 W
746 W
764 W

A simple pendulum hanging freely and at rest vertical because in that position

Kinetic Energy is zero
Kinetic Energy is minimum
Potential Energy is zero
Potential Energy is minimum

1 electron volt is equivalent to

10^-7 J
1.6 x 10^-19 J
4.186 J
3.6 x 10^-6 J

A rock of mass m dropped to the ground from a height h. A second rock with mass 2m is dropped from the same height. When second rock strikes the ground, what is its kinetic energy?

Twice that of the first rock
Four times that of the first rock
The same as that of the first rock
Half that of the first rock.

Two springs A and B having spring constant K_A and K_B(K_A= 2K_B) are stretched by applying force of equal magnitude. If energy stored in spring A is E_A then energy stored in B will be

2E_A
E_A/4
E_A/2
4E_A

A particle of mass m moving with velocity v collides with a mass m₂ at rest, then they get embedded. At the instant of collision, velocity of the system

increases
decreases
remains constant
becomes zero

The amount of work done by a moving body depends on the

mass of the body
velocity
both (a) and (b)
time

If the angle between force and displacement is acute then the work done is

positive
negative
zero
maximum

Part - B

Generic 2 - Answer All Question

A spark is produced, when two stones are struck against each other. Why?

Define the following
a) Coefficient of restitution
b) Power
c) Law of conservation of energy
d) loss of kinetic energy in inelastic collision

Give the unit and dimension of power.
What, is meant by positive work? Give· example.

Draw a graph showing the variation of potential energy of an object thrown vertically upward by a boy with respect to its height.

Part - C

Generic 3 - Answer All Question

Draw force-displacement graph for a spring and an expression for the potential energy of an elastic spring.

An elevator which can carry a maximum load of 1800 kg (elevator + passengers) is moving up at a constant speed of 2 ms^-1. The frictional force opposing the motion is 4000 N. Determine the minimum power delivered by the motor to the elevator in watts as well as in horsepower.

What is conservative force? State how it is determined from potential energy?
How high must a body be lifted to gain an amount of P.E.· equal to the K.E. it has when moving at speed 20 ms^-1. (The value of acceleration due to gravity at a place is 9.8 ms^-2).

A vehicle of mass 1250 kg is driven with an acceleration 0.2 along a straight level road against an external resistive force 500 N. Calculate the power delivered by the vehicle's engine if the velocity of the vehicle is 30 ms^-1.

Part - D

Generic 5 - Answer All Question

A vehicle of mass 15 quintal climbs up a hill 200m high. It then moves on a level road with speed of 30 ms^-1. Calculate the potential energy gained by it and its total mechanical energy while running on the top of the hill.

What is meant by elastic potential energy? Drive an expression for the elastic potential energy of the spring.

Two springs have spring constant k₁ and k₂ (k₁ > k₂) on which spring is more work done, if
(i) They are stretched by the same force.
(ii) They are stretched by same amount.
Find the work done in pulling and pushing another though 200 m horizontally when a force of 1000N is acting along a chain making an angle of 60° with ground. Assume the floor to be smooth friction less surface.

If a particle elastically collides obliquely with a particle of same mass at rest then show that they move perpendicular to each other after collision.

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