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.
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.
From figure $(a)$,
Velocity $v=\frac{\Delta x}{\Delta t}=\frac{2-0}{2-0}=1 \mathrm{~m} / \mathrm{s}$ constant velocity.
$\Delta v=0, a_{x}=0$
From figure (b),
Mathematical relation $y=t^{2}$
$v =\frac{d y}{d t}=2 t$
$a=\frac{d v}{d y}=2(1)=2$
$\mathrm{~F}_{x} &=m a_{x} \mid \quad \mathrm{F}_{y}=m a_{y}$
$=0.5(0)$
$=0$
Resultant force,
$\mathrm{F} &=\sqrt{\mathrm{F}_{x}^{2}+\mathrm{F}_{y}^{2}}$
$=\sqrt{0^{2}+1^{2}}$
$=1 \mathrm{~N}$
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