You are inside a closed capsule from where you are not able to see anything about the outside world. Suddenly you feel that you are pushed towards your right. Can you explain the possible cause(s)? Is it a feeling or a reality? Give at least one more situation like this.

Question

Accepted Answer

Concept understanding — Pseudo Force

Pseudo Force – The Trick That Makes Newton's Laws Work Everywhere

Imagine you're sitting in a bus that suddenly lurches forward. What happens? You feel thrown backward against the seat. From the ground outside, a friend sees you stay still while the seat pushes you forward. But inside the bus, it feels like a real force yanked you backward. That feeling is the pseudo force.

The core problem is simple: Newton's laws only work in inertial frames — frames that are either at rest or moving with constant velocity. A bus accelerating forward is a non-inertial frame. Inside it, Newton's first law seems to break: you see an object (your own body) accelerate backward with no visible push. To fix this, we invent a fictitious force — the pseudo force — so that inside the accelerating bus, Newton's laws once again hold.

The Precise Statement

\vec{F}_{\text{pseudo}} = - m \vec{a}_{\text{frame}}

Where:

$m$ is the mass of the object you're analyzing
$\vec{a}_{\text{frame}}$ is the acceleration of the non-inertial frame (measured from an inertial frame)
The minus sign means the pseudo force acts opposite to the frame's acceleration

So if the bus accelerates forward ( $\vec{a}_{\text{frame}}$ forward), the pseudo force on every object inside is backward — exactly what you feel.

How to Use It

When solving a problem from inside a non-inertial frame:

Identify the acceleration of the frame itself.
Add a pseudo force $-m\vec{a}_{\text{frame}}$ on every object you're analyzing.
Now treat the frame as if it were inertial — apply Newton's laws normally.

Watch out

The pseudo force is not real. It has no agent — no wall, no rope, no gravity. It vanishes the moment you step outside to an inertial frame. Never count it as a real force in a free-body diagram meant for an inertial observer.

A Concrete Example …

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If you are pushed towards your right while seeing nothing of the outside world, the most likely cause is that the capsule itself is undergoing an ACCELERATION with a leftward component (e.g. it is turning to the left, giving a centripetal acceleration pointing left, which you experience as an inertial push to the right; or some external agent is accelerating the capsule sideways). This sensation is a genuine PSEUDO FORCE (4.5.3): it is measurable (e.g. it would register on a force sensor or spring scale fixed inside the capsule pressing you against a wall), it does not obey Newton's second law when analysed from inside the (non-inertial) capsule frame without the extra $-m\vec{a}$ term, and it is not one of the four fundamental forces -- so it is 'pseudo', meaning non-real in a technical sense, but it is absolutely a REALITY as far as your body's felt experience and any instrument's measurement are concerned; it is not a mere psychological 'feeling'. A similar everyday situation: sitting in a car tha …

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Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.

CBSE 2025Set ANNUAL1 markMCQ
$Q. When milk is churned then cream is separated due to (A) Gravitational force (B) Frictional force (C) Centripetal force (D) Centrifugal force$
›Reveal solutionSolution

Cream separates from milk because of centrifugal force acting in the rotating churn.

When milk is churned (spun) rapidly, every particle in it moves in a circle, which requires a centripetal (inward) force actually supplied by the walls of the container. Viewed from the rotating frame of the churn itself, each particle instead appears to experience an outward pseudo-force — the centrifugal force — whose magnitude depends on the particle's mass and density.

…

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CBSE 2024Set ANNUAL1 markMCQ
$Q. When milk is churned, then cream is separated. It happens due to (A) gravitational force (B) frictional force (C) centrifugal force (D) cohesive force$
›Reveal solutionSolution

Cream separates from milk in a churn due to centrifugal force acting in the rotating frame.

When milk is rapidly rotated in a centrifugal churn/separator, in the (non-inertial) rotating frame every particle experiences an outward pseudo-force called the centrifugal force, of magnitude $m\omega^2r$ . Because cream (fat globules) is less dense than the rest of the milk, it experiences a smaller net …

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CBSE 2020Set ANNUAL1 markMCQ
$Q. An object of mass 10 kg is hanging from a spring scale which is attached to the roof of a lift. If the lift is in free fall, the reading in the spring scale is:$
(a) 98 N
(b) zero
(c) 49 N
(d) 9.8 N
›Reveal solutionSolution

During free fall, both the lift and the hanging mass accelerate downward at g, so the spring tension (and hence the scale reading) is zero.

The spring scale reads the tension T in the spring, which by Newton's second law applied to the hanging mass (taking downward as positive) is:

mg - T = ma

where a is the downward acceleration of the mass (equal to the lift's acceleration, since the mass moves with the lift).

When the lift is in free fall, a = g (it falls under gravity alone, with no other force acting on the lift-mass system to oppose gravity). Substituting:

mg - T = mg

T = 0

…

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Q.You are inside a closed capsule from where you are not able to see anything about the outside world. Suddenly you feel that you are pushed towards your right. Can you explain the possible cause(s)? Is it a feeling or a reality? Give at least one more situation like this.

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