Question

the force acting on a particle of mass 1kg starting from rest from origin is shown. the velocity at x=2 is​

Answer 1

Given that,

Mass = 1 kg

The work done W equals the area under the force vs. distance graph.

We need to calculate the work done

Using formula of work done

W= Area of triangle ABC

$W=\dfrac{1}{2}\times4\times2$

$W=4\ J$

The work done equal to the kinetic energy.

We need to calculate the velocity at x = 2 m

Using formula of work done

$W=\dfrac{1}{2}mv^2$

Put the value into the formula

$4=\dfrac{1}{2}\times1\times v^2$

$v^2=8$

$v=2\sqrt{2}\ m/s$

Hence, The velocity at x = 2 m is $2\sqrt{2}\ m/s$

(A) is correct option