Question

a constant F is applied to a body of mass m the power of delivered by the force at time t from the start is proportional to
a) t
b)t^2
c)√t
d)t°​

Answer 1

Answer:

The power delivered by the force at time t from the start is proportional to "t" i.e.option(a).

Explanation:

The power delivered in terms of force and velocity is given as,

$P=F.v$       (1)

Where,

P=power delivered by the force

F=force acting on the body

v=velocity with which the body is moving

Now, force is given as,

$F=ma$   (2)

m=mass of the body

a=acceleration produced in the body

We can also write equation (2) as,

$F=m\frac{v}{t}$              ($a=\frac{Velocity(v)}{time(t)}$)

$v=\frac{Ft}{m}$     (3)

By substituting equation (3) in equation (1) we get;

$P=\frac{F^2t}{m}$      (4)

By considering the force and mass of the body constant we can write equation (4) as,

$P\propto t$

Hence, the power delivered by the force at time t from the start is proportional to "t" i.e.option(a).