Question

Figure shows diagram of a particle moving in two dimensions is a particle has a mass of 500 gram find the force acting on the particle

• A. 1 Newton along y axis
• B. 2.5 Newton along y axis
• C. 2.5 Newton along x axis
• D. 1 Newton along x axis

Answer 1

The correct option is A 1 Newton along y axis

We know,

Force =mass x acceleration.

$F_x=m{a}_x,F_y=m{a}_y$

From the graph,

$a_x=0$

In the second graph,

$y=t^2$

$\frac{d^{2}y}{d{t}^2}=2$

$a_y=2m/s^2$

$F=m\left(\sqrt{a_x^2+a_y^2}\right)$

$F=0.5\times 2=1N$

And direction is in y-axis only as there is no component of acceleration in x-axis.

Option $\text{A}$ is the correct answer