Answer to Question #149089 in Classical Mechanics for Ramon

Question

The rectilinear motion of a body with a mass of 2 kg is given by the law s= 2t +t^2.
What is the force acting on the body?

Answer 1

Solution

Motion law for this body is given

$s=2t+t^2$

Now differentiate with respect to t

$v=\frac{ds}{dt}=2+2t$

Again differentiate with respect to t

Then acceleration

$a=\frac{dv}{dt}=\frac{d^2s}{dt^2}=2$

So force acting on the body.

$F=ma=2\times 2=4N$