Figure shows (x,, t), (y,, t) diagram of a pa | vedclass

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Question

From figure $(a)$,

Velocity $v=\frac{\Delta x}{\Delta t}=\frac{2-0}{2-0}=1 \mathrm{~m} / \mathrm{s}$ constant velocity.

$\Delta v=0, a_{x}=0$

Vedclass · Accepted Answer

Vedclass · Answer

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,

$\mathrm{F} &=\sqrt{\mathrm{F}_{x}^{2}+\mathrm{F}_{y}^{2}}$

$=\sqrt{0^{2}+1^{2}}$

$=1 \mathrm{~N}$

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.

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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.