A particle stays at rest as seen in a frame. We can conclude that… - Vidyadip

MCQ

A particle stays at rest as seen in a frame. We can conclude that:

The frame is inertial.
Resultant force on the particle is zero.
The frame may be inertial but the resultant force on the particle is zero.
The frame may be non$-$inertial but there is a non$-$zero resultant force.

A
$A$ and $B$
B
$B$ and $C$
C
$A$ and $D$
✓
$C$ and $D$

✓

Answer

Correct option: D.

$C$ and $D$

According to Newton's second law which says that net force acting on the particle is equal to rate of change of momentum $($or mathematically $F = ma),$ so if a particle is at rest then $\text{F}_{\text{net}}=\text{ma = m}\frac{\text{dv}}{\text{dt}}=\text{m}\frac{\text{d}(0)}{\text{dt}}=\text{m}\times0=0.$
Now, if the frame is inertial, then the resultant force on the particle is zero.
If the frame is non$-$inertial, vector sum of all the forces plus a pseudo force is zero.
i.e $\text{F}_{\text{net}}\neq0.$

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