# 12.19.1. Work

Determine the power of a car that has an engine of force kg wt, given that the car’s maximum velocity is km/hr.

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If a car moving with maximum velocity of magnitude km/hr has an engine of power hp, calculate the magnitude of the force of its engine.

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Determine, in horsepower, the power exerted by an engine that is working at a uniform rate of .

• Ahp
• Bhp
• Chp
• Dhp
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If an agricultural tractor has an engine power of hp, and the force of its tools is , find the magnitude of its maximum velocity.

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If a man of mass kg walked up an inclined plane of height 510 metres in 5 minutes, determine his power at this time.

• Ahp
• Bhp
• Chp
• Dhp
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If a particle is moving in a straight line under the action of the force from point to point , find the work done by the force .

• A units of work
• B units of work
• C units of work
• D units of work
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A force is acting on a particle so that its position vector as a function of time . Calculate the work done by the force when ranges from 3 seconds and 8 seconds, where is measured in newtons and in metres.

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A particle moves in a straight line under the action of a force of 685 dynes acting in the direction of motion. Find the work done by the force during a displacement of cm, where the gravitational acceleration .

• A ergs
• B ergs
• C joules
• D ergs
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If the kinetic energy of a gunshot having a mass of kg at a certain instant is 23 500 joules, find the magnitude of its velocity at the same instant.

• Am/s
• Bm/s
• Cm/s
• Dm/s
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A body having a mass of gm is moving with a velocity given by the relation , where and are two constant perpendicular unit vectors. Find the value of its kinetic energy in ergs, given that its velocity is measured in cm/s.

• A
1 250
ergs
• B
3 250
ergs
• C
6 500
ergs
• D ergs
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A body is moving with a velocity given by the relation , where and are two constant perpendicular unit vectors. Given that the velocity is measured in cm/s, and the kinetic energy of the body is 4.8 joules, find the mass of the body measured in grams.

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Given that a body having a mass of gm is moving with a velocity of m/s, find its kinetic energy measured in joules.

• A
15.04
joules
• B
7 520
joules
• C joules
• D7.52 joules
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Find the kinetic energy of a body having a mass of kg which is moving with a velocity of cm/s measured in ergs.

• A ergs
• B ergs
• C
769.5
ergs
• D
1 539
ergs
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