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

MABS Institution

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

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

When a particle is moving in vertical circle

its radial and tangential acceleration both are constant
its radial and tangential acceleration both are varying
its radial is constant but tangential acceleration is varying
its radial and is varying but tangential acceleration is constant

Two particles A and. B, move with constant velocities \(\vec v_1\ and \vec v_2\) At the initial moment their position vectors are \(\vec r_1\) and \(\vec r_2\) respectively. The condition for particles A and B for their collision is

\(\vec r_1\times\vec v_1=\vec r_2\times\vec v_2\)
\(\vec r_1-\vec v_1=\vec r_2-\vec v_2\)
\(\frac{\vec r_1-\vec r_2}{\left|\vec r_1-\vec r_2\right|}=\frac{\vec v_2-\vec v_1}{\left|\vec v_2-\vec v_1\right|}\)
\(\vec r_1.\vec v_1=\vec r_2.\vec v_2\)

If a force F is applied on a body and the body moves with velocity v, the power will be

F.V
F/V
FV²
F/V²

An iron sphere of mass 8 kg has the same diameter as a copper sphere of mass 4 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same

acceleration
momenta
Potential Energy
Kinetic Energy

Unit of work is:

watt
newton
joule
no unit

When bubblegum is thrown on a moving vehicle, it sticks is an example for

elastic collision
inelastic collision
perfectly inelastic collision
none

A missile fired from a launcher explodes in mid-air, its total

kinetic energy increases
momentum increases
kinetic energy decreases
momentum decreases

A particle with total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when

U(x) < E
U(x) = 0
U(x) \(\le\) E
U(x) > E

If the two colliding bodies stick together after collision such collisions are

elastic collision
inelastic. collision
perfectly inelastic collision
head on collision

A bullet is fired normally on an immovable wooden plank of thickness 2 m. It loses 20% of its kinetic energy in penetrating a thickness 0.2 m of the plank. The distance penetrated by the bullet inside the wooden plank is

0.2 m
0.8 m
1 m
1.5 m

Part - B

Generic 2 - Answer All Question

A body is moving at constant speed over a frictionless surface. What is the work done by the weight of the body?

A car starts from rest and moves on a surface with uniform acceleration. Draw the graph of kinetic energy versus displacement. What information you can get from that graph?

A force \(\vec F=\vec i+2\vec j+3\vec k\) k acts on a particle and displaces it through a distance \(\vec S=4\vec i+6\vec j\)Calculate the work done if force and work done are in the same direction

Define work, energy, power.
Explain how the definition of work in physics is different from general perception

A box is pulled with a force of 25 N to produce a displacement of 15 m. If the angle between the force and displacement is 30°, find the work done by the force.

Explain the characteristics of elastic and inelastic collision.

Express a unit of electrical energy in terms of joule.

What is the work done by the centripetal force in circular motion?

A body of mass 10 kg at rest is subjected to a force of 16N. Find the kinetic energy at the end of 10 s.

Part - C

Generic 3 - Answer All Question

What is mechanical energy? What are its two types?

Calculate the energy consumed in electrical units when a 75 W fan is used for 8 hours daily for one month (30 days)

A bob is pulled sideways so that string becomes parallel to horizontal and released. Length of the pendulum is 2 m. If due to air resistance loss of energy is 10%, what is the speed with which the bob arrived at the lowest point?

A body of mass 0.3 kg is taken up an inclined plane of length 10 m and height 5 m and then allowed to slide down to bottom again. Find
(i) work done by frictional force over the round trip if \(\mu\) = 0.15.
(ii) kinetic energy at the end of the trip.

An object of mass 2 kg attached to a spring is moved to a distance x = 10 m from its equilibrium position. The spring constant k = 1N m^-1 and assume that the surface is frictionless.
(a) When the mass crosses the equilibrium position, what is the speed of the mass?
(b) What is the force that acts on the object when the mass crosses the equilibrium position and extreme position x = ± 10m?

Spring A and B are identical except that A is stiffer than B, i.e., force constant k_A > k_B. In which spring is more work expended if they are stretched by the same amount?

A ball of mass0.1 kg collides elastically with a ban of unknown mass at rest. If 0.1 kg ball rebounds at 1/3 of the original speed, find the mass of other ball.

The potential energy of a spring when stretched through a distance x is 10J. What is the amount of work done on the same spring to sketch it through an additional distance 'x'?
After perfectly inelastic collision between two identical particles moving with same speed in different directions, the speed of the particles become half the initial speed. Find the angle between the two before collision.

What do you mean by "Perfect elastic"?

Part - D

Generic 5 - Answer All Question

What is inelastic collision? In which way it is different from elastic collision. Mention few examples in day to day life for inelastic collision.

Arrive at an expression for power and velocity. Give some examples for the same.

A large and small vehicle moving with the some kinetic energy on a straight road. Their engine are simultaneously OFF. Which one will stop at a longer distance?

Find the workdone if a particle moves from position \(\vec { { r }_{ 1 } } =(2\overset { \wedge }{ i } +\overset { \wedge }{ j } -\overset { \wedge }{ 3k } )\) to a position \(\vec { { r }_{ 2 } } =(4\overset { \wedge }{ i } +6\overset { \wedge }{ j } -7\overset { \wedge }{ k } )\) under the effect of force \(\vec {F } =(3\overset { \wedge }{ i } +2\overset { \wedge }{ j } +\overset { \wedge }{ 4k } )\)N.
A molecule in gas container hits the wall with speed 350 m/s at an angle 45° with the normal and rebound with the same speed. Is momentum conserved in the collision?

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

A body constrained to move along the x-axis of a coordinate system is subjected to a constant force \(\vec { F }=(2\overset { \wedge }{ i } -\overset { \wedge }{ j } +4\overset { \wedge }{ k } )\)N, then what is the work done by this force in moving the body over a distance of 4 m along the x-axis.

Deduce the relation between momentum and kinetic energy.

A body of mass 0.3 kg is taken up an inclined plane to length 10 m and height 5 m and then allowed to slide down to the bottom again. The coefficient of friction between the body and the plane is 0.15. What is the
(i) work done by the gravitational force over the round trip?
(ii) work done by the applied force over the upward journey?
(iii) work done by frictional force over the round trip?
(iv) kinetic energy of the body at the end of the trip?
How is the answer to (iv) related to the first three answers?

A particle of mass 2 kg moving with a velocity \({ v }_{ 1 }=(\overset { \wedge }{ 2i } -\overset { \wedge }{ 3j } )m/s\) experience a perfectly inelastic collision with another particle of mass 2 kg having velocity \({ v }_{ 2 }=(\overset { \wedge }{ 3i } +\overset { \wedge }{ 6k } )m/s\).Find the velocity and speed of the particle formed.

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

MABS Institution

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

Part - A

Multiple Choice Question - Answer All Question

When a particle is moving in vertical circle

Two particles A and. B, move with constant velocities \(\vec v_1\ and \vec v_2\) At the initial moment their position vectors are \(\vec r_1\) and \(\vec r_2\) respectively. The condition for particles A and B for their collision is

If a force F is applied on a body and the body moves with velocity v, the power will be

An iron sphere of mass 8 kg has the same diameter as a copper sphere of mass 4 kg. Both spheres are dropped simultaneously from a tower. When they are 10 m above the ground, they have the same

Unit of work is:

When bubblegum is thrown on a moving vehicle, it sticks is an example for

A missile fired from a launcher explodes in mid-air, its total

A particle with total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when

If the two colliding bodies stick together after collision such collisions are

A bullet is fired normally on an immovable wooden plank of thickness 2 m. It loses 20% of its kinetic energy in penetrating a thickness 0.2 m of the plank. The distance penetrated by the bullet inside the wooden plank is

Part - B

Generic 2 - Answer All Question

A body is moving at constant speed over a frictionless surface. What is the work done by the weight of the body?

A car starts from rest and moves on a surface with uniform acceleration. Draw the graph of kinetic energy versus displacement. What information you can get from that graph?

A force \(\vec F=\vec i+2\vec j+3\vec k\) k acts on a particle and displaces it through a distance \(\vec S=4\vec i+6\vec j\)Calculate the work done if force and work done are in the same direction

Define work, energy, power.

Explain how the definition of work in physics is different from general perception

A box is pulled with a force of 25 N to produce a displacement of 15 m. If the angle between the force and displacement is 30°, find the work done by the force.

Explain the characteristics of elastic and inelastic collision.

Express a unit of electrical energy in terms of joule.

What is the work done by the centripetal force in circular motion?

A body of mass 10 kg at rest is subjected to a force of 16N. Find the kinetic energy at the end of 10 s.

Part - C

Generic 3 - Answer All Question

What is mechanical energy? What are its two types?

Calculate the energy consumed in electrical units when a 75 W fan is used for 8 hours daily for one month (30 days)

A bob is pulled sideways so that string becomes parallel to horizontal and released. Length of the pendulum is 2 m. If due to air resistance loss of energy is 10%, what is the speed with which the bob arrived at the lowest point?

A body of mass 0.3 kg is taken up an inclined plane of length 10 m and height 5 m and then allowed to slide down to bottom again. Find (i) work done by frictional force over the round trip if \(\mu\) = 0.15. (ii) kinetic energy at the end of the trip.

Spring A and B are identical except that A is stiffer than B, i.e., force constant kA > kB. In which spring is more work expended if they are stretched by the same amount?

A ball of mass0.1 kg collides elastically with a ban of unknown mass at rest. If 0.1 kg ball rebounds at 1/3 of the original speed, find the mass of other ball.

The potential energy of a spring when stretched through a distance x is 10J. What is the amount of work done on the same spring to sketch it through an additional distance 'x'?

After perfectly inelastic collision between two identical particles moving with same speed in different directions, the speed of the particles become half the initial speed. Find the angle between the two before collision.

What do you mean by "Perfect elastic"?

Part - D

Generic 5 - Answer All Question

What is inelastic collision? In which way it is different from elastic collision. Mention few examples in day to day life for inelastic collision.

Arrive at an expression for power and velocity. Give some examples for the same.

A large and small vehicle moving with the some kinetic energy on a straight road. Their engine are simultaneously OFF. Which one will stop at a longer distance?

A molecule in gas container hits the wall with speed 350 m/s at an angle 45° with the normal and rebound with the same speed. Is momentum conserved in the collision?

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

A body constrained to move along the x-axis of a coordinate system is subjected to a constant force \(\vec { F }=(2\overset { \wedge }{ i } -\overset { \wedge }{ j } +4\overset { \wedge }{ k } )\)N, then what is the work done by this force in moving the body over a distance of 4 m along the x-axis.

Deduce the relation between momentum and kinetic energy.

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A body of mass 0.3 kg is taken up an inclined plane of length 10 m and height 5 m and then allowed to slide down to bottom again. Find
(i) work done by frictional force over the round trip if \(\mu\) = 0.15.
(ii) kinetic energy at the end of the trip.

Spring A and B are identical except that A is stiffer than B, i.e., force constant k_A > k_B. In which spring is more work expended if they are stretched by the same amount?