Test Index

BITSAT 2020 Paper

Section: Physics

Question : 11 of 150

Marks: +1, -0

t

is proportional to

Solution:

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 \cdot v \dots (1)

Force,

F = m a \dots (2)

where,

v = \frac{S}{t}

acceleration,

a = \frac{S}{t^{2}}

m =

mass

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

P = \frac{mS}{t^{2}} \times \frac{S}{t}

S^{2} = \frac{P t^{3}}{m}

From the above equation, we get

S^{2} \propto t^{3}

S \propto t^{3/2}

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