Question

A particle accelerated uniformly from rest by a force delivering constant power. Then velocity is directly proportional to (t = time):
t
1/underroot t
underroot t
None of these​

Answer 1

Answer:

PHYSICS

A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to :

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ANSWER

Let's consider a body is moved along a straight line by a machine delivering a constant power P. The distance moved by the body is S.

Power, P=F.v.. . . . . . (1)

Force, F=ma . . . . . . . .(2)

where, v=

t

S

acceleration, a=

t

2

S

m= mass

from equation (1) and equation (2), we get

P=

t

2

mS

×

t

S

S

2

=

m

Pt

3

From the above equation, we get

S

2

∝t

3

S∝t

3/2

The correct option is B.

Explanation:

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Answer 2

Answer: Velocity is directly proportional to $\sqrt{t$ .

Explanation: Given that, Acceleration is constant.

Hence, Force is also constant.              ....................{F=Ma}

Power= F×v

           = ma×v

           = m×v÷t×v

               As, Power is also constant..

so, V $\alpha \sqrt{t}$

Thank you..