Figure-shows-x-t-y-t-diagram-of-a-particle-moving-in-2-dimensions-If-the-particle-has-a-mass-of-500-g-find-the-force-direction-and-magnitude-acting-on-the-particle-

Question Number 19137 by Tinkutara last updated on 05/Aug/17

Figure shows (x, t), (y, t) diagram of a

particle moving in 2 - dimensions . If the

particle has a mass of 500 g, find the

force (direction and magnitude) acting

on the particle .

Commented by Tinkutara last updated on 05/Aug/17

Answered by ajfour last updated on 05/Aug/17

a_{x} = 0

y = u_{y} t + \frac{1}{2} a_{y} t^{2}

At t = 1 s

1 = u_{y} + \frac{1}{2} a_{y} and at t = 2 s

4 = {2 u}_{y} + {2 a}_{y}

we thus obtain a_{y} = 2 m / s^{2}, u_{y} = 0

\Rightarrow \vec{a} = (2 \hat{j}) m / s^{2}

\vec{F} = m \vec{a} = (\frac{1}{2} kg) (\frac{2 m}{s^{2}}) \hat{j}

\Rightarrow \vec{F} = (\hat{j}) N .

Commented by ajfour last updated on 06/Aug/17

how do i know the degree of

equation to the y - t graph .

this is all that can be done .

Commented by Tinkutara last updated on 06/Aug/17

Thank you very much Sir!