11th Physics Monthly Test - 4 ( Work, Energy and Power )

MABS Institution

11th Physics Monthly Test - 4 ( Work, Energy and Power )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 5 - Answer All Question

Discuss the results of work - Energy theorem.

Obtain an expression for the critical vertical of a body revolving in a vertical circle

Find the work done in moving a particle along a vectors \(\vec { s } =(\overset { \wedge }{ i } -2\overset { \wedge }{ j } +3\overset { \wedge }{ k } )\)m if applied force is \(\vec { F } =(2\overset { \wedge }{ i } -3\overset { \wedge }{ j } +4\overset { \wedge }{ k } )\)N.

A ball falls under gravity from a height of 10m with an initial downward velocity u. It collides with the ground, loses 50% of its energy in collision and then rises back to the same -'height. Find the initial velocity "u".

A body of mass of 3 kg initially at rest makes under the action of an applied horizontally force of 10 N on a table with co-efficient of kinetic friction = 0.3, then what is the workdone by the applied force in 10s:

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.

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.

What is the power of an engine which can lift 20 metric ton of coal per hour from a mine 30 metres deep?

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?

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?

Derive an expression for the potential energy of an elastic stretched spring.

Deduce the relation between momentum and kinetic energy.

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11th Physics Monthly Test - 4 ( Work, Energy and Power )

MABS Institution

11th Physics Monthly Test - 4 ( Work, Energy and Power )-Aug 2020

Part - A

Generic 5 - Answer All Question

Discuss the results of work - Energy theorem.

Obtain an expression for the critical vertical of a body revolving in a vertical circle

Find the work done in moving a particle along a vectors \(\vec { s } =(\overset { \wedge }{ i } -2\overset { \wedge }{ j } +3\overset { \wedge }{ k } )\)m if applied force is \(\vec { F } =(2\overset { \wedge }{ i } -3\overset { \wedge }{ j } +4\overset { \wedge }{ k } )\)N.

A ball falls under gravity from a height of 10m with an initial downward velocity u. It collides with the ground, loses 50% of its energy in collision and then rises back to the same -'height. Find the initial velocity "u".

A body of mass of 3 kg initially at rest makes under the action of an applied horizontally force of 10 N on a table with co-efficient of kinetic friction = 0.3, then what is the workdone by the applied force in 10s:

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.

What is the power of an engine which can lift 20 metric ton of coal per hour from a mine 30 metres deep?

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?

Derive an expression for the potential energy of an elastic stretched spring.

Deduce the relation between momentum and kinetic energy.

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