A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle ta - Physics MCQ AIEEE 2004 2026 | ExamTest.live | ExamTest.live

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A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

A $its velocity is constant$
B $its acceleration is constant$
C $its kinetic energy is constant$
D $it moves in a straight line$

Solution & Step-by-step Explanation

Power P = F \cdot v .Since the force is always perpendicular to the velocity, F \cdot v = 0 .The rate of change of kinetic energy \frac{d K}{d t} is equal to the power. \frac{d K}{d t} = 0 ⟹ K = constant The kinetic energy is constant. Note that velocity is not constant because its direction changes, and acceleration magnitude is constant (v^{2} / R) but its direction changes.

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A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

A

its velocity is constant

B

its acceleration is constant

C

its kinetic energy is constant

D

it moves in a straight line

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