Work, Energy And Power

Question

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A body is moved in straight line by machine with constant power. The distance travelled by it in time duration t is proportional to

t^3/2

t^1/2

t²

t

Solution

t^3/2

P = constant

$\frac{∆ W}{∆ t}$ = P

ΔW = P Δt

By using work-energy theorem

$\frac{1}{2} {mv}^{2} = Pt$

v² = $\sqrt{\frac{2 P}{m}}$ t^1/2dt

Integrating both sides

$\int_{0}^{x} dx = \sqrt{\frac{2 P}{m}} \int_{0}^{t}$ t^1/2 dt

x = $\sqrt{\frac{2 P}{m}} (\frac{2}{3})$ t^3/2

∴ x ∝ t^3/2

displacement ∝ (time)^3/2

Some More Questions From Work, Energy and Power Chapter

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Define watt.

How many joules are there in one eV?

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By eating two apples, a person starts pushing the wall of room. If food value of apple is 100 calories per apple, how much work he will do in pushing the wall in one hour?

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Work, Energy And Power

A body is moved in straight line by machine with constant power. The distance travelled by it in time duration t is proportional to

t^3/2

t^1/2

t²

t

Some More Questions From Work, Energy and Power Chapter

What are different units of energy?

What is watt?

Define watt.

How many joules are there in one eV?

What is the relation between kWh and Joule?

Does the body at rest possess energy?

By eating two apples, a person starts pushing the wall of room. If food value of apple is 100 calories per apple, how much work he will do in pushing the wall in one hour?

A man is rowing upstream and is at rest w.r.t. shore. Is he doing work w.r.t. shore?

Is frictional force conservative?

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NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Work, Energy And Power

A body is moved in straight line by machine with constant power. The distance travelled by it in time duration t is proportional to t3/2 t1/2 t2 t

Some More Questions From Work, Energy and Power Chapter

What are different units of energy?

What is watt?

Define watt.

How many joules are there in one eV?

What is the relation between kWh and Joule?

Does the body at rest possess energy?

By eating two apples, a person starts pushing the wall of room. If food value of apple is 100 calories per apple, how much work he will do in pushing the wall in one hour?

A man is rowing upstream and is at rest w.r.t. shore. Is he doing work w.r.t. shore?

Is frictional force conservative?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A body is moved in straight line by machine with constant power. The distance travelled by it in time duration t is proportional to

t^3/2

t^1/2

t²

t