Question

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 ?[ AIEEE 2003] ​

Answer 1

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 :

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

Answer 2

Answer:

t raised to the power 3/2

Explanation:

We know

Power = Force x Velocity

P = ma x at

P = ma²t

So,

a²t = P/m = constant

and

Distance = s = at²/2

s² = a²t⁴/4 = constant.t³

and s ∝ t³/²