#centripetal force

Gravitational Effects and Applications

What is the primary source of centripetal force for an Earth satellite?

For a satellite in circular orbit, the centripetal force (F = mv2r) is provided by Earth’s gravitational force (F = GMEmr2), which keeps it in orbit. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Gravitational force. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Work, Energy and Orbital Mechanics

Why does the gravitational force provide the necessary centripetal force for a circular orbit?

In a circular orbit, the gravitational force (GMEmr2) equals the centripetal force (mv2r), providing the inward force needed to maintain circular motion. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It balances the required inward force. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Motion in a Plane and Projectile Motion

In uniform circular motion, what is true about the net force acting on the object?

Velocity v=v₀+at. Starting from rest, v=at. With a=(ax i+ay j), magnitude |v|=t√(ax²+ay²) per NCERT vector addition. Substituting ax, ay, t gives |v| equal to It varies in direction. Hence option C is correct.

Ref: NCERT Class 11 Physics > Chapter 4: Motion in a Plane > Topic: Motion in a Plane and Projectile Motion

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Straight Line Motion - Practice Set

A 1000kg car on a banked road (θ\=15∘, μs\=0.3) turns at radius 40m. What is the maximum speed without slipping? (Take g

Max speed vmax=rgμs+tan⁡θ1−μstan⁡θ. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 14 m/s as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Straight Line Motion - Practice Set0

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