Question

a body is initially at rest.it undergoes one dimensional motion with constant acceleration.the power delivered to it at the same time t is proportional to?

Answer 1

Answer on Question #43197-Physics-Mechanics-Kinematics-Dynamics

A body is initially at rest. it undergoes one dimensional motion with constant acceleration. The power delivered to it at the same time $t$ is proportional to?

Solution

Mass of the body is $m$.

Acceleration of the body is $a$.

Using Newton’s second law of motion, the force experienced by the body is given by the equation:

$$F = m a.$$

Both $m$ and $a$ are constants. Hence, force $F$ will also be a constant.

$$F = m a = \text{Constant}.$$

The velocity $v$ for uniformly accelerated motion is

$$v = u + a t = 0 + a t = a t.$$

Power is given by the relation:

$$P = F v = m a \cdot a t = m a^{2} t.$$

As acceleration is constant, hence

$$P \propto t.$$

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