I. Its velocity is constant
II. No work is done on the body
III. It has constant acceleration directed away from the centre
IV. The centripetal force is directed towards the centre
Which combination of the above is true of a body moving with constant speed in a circular track?
II and IV
I and IV
II and III
I and III
Explanation
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Discussions (51)

The correct answer is A. The following are my reason for the answer.
1. No work is done on a body in a circular motion due to the force the keeps tge bodyu in a circular motion( centripetal force) Therefore, workdone on the object is zeros.
2. Speed of a bodyu in a circular motion is constant but velocity of the object is not constant because its direction changes. As the direction changes the acceleration changes too. Speed is a scalar while velocity is a vector. They are not the same but similar in their S.I unit.
Therefore, I and III are wrong.
Thank you.

for a body moving in constant speed, round a track since their is a const. distance d workdone is zero.and the force is directed to d centre

For I : velocity (speed of a body in ONE PARTICULAR DIRECTION) is not comstant, since we are dealing with a circular track.
For II: remember inertial theory? For a stationary or uniformly moving body, work done (in this case, acceleration) is zero.
For III: Acceleration for a uniform circular motion is NOT constant.
For IV: Of course, Centripetal force is directed towards the center of the circular region where motion is controlled from.

For does that are arguing, this is what i found on google. with uniform circular motion, the speed of the object moving must be constant as it moves in a circular direction. Even though the speed is constant, the velocity of the object constantly changes as it moves since it is constantly changing direction. The velocity is always directed tangent to the circle.

The question is about uniform circular motion (a body moving with constant speed in a circular path).
Let us check each statement:
I. Its velocity is constant β
Not correct. Even if the speed is constant, the velocity changes because the direction keeps changing in circular motion.
II. No work is done on the body β
Correct. The centripetal force acts towards the centre while the motion is along the tangent, so the force is perpendicular to the motion. Therefore no work is done.
III. It has constant acceleration directed away from the centre β
Wrong. The acceleration is towards the centre, not away.
IV. The centripetal force is directed towards the centre β
Correct. That is the definition of centripetal force.
β
Correct statements: II and IV
β Correct answer: A β II and IV

II. No work is done on the body
Centripetal force is perpendicular to motion, so no work is done. IV. The centripetal force is directed towards the centre
I will say option a is correct

The answer A is wrong. B is the correct answer I. It's velocity is constant (magnitude not direction)
IV. The centripetal force is directed towards the center( to keep the body on the circular path)

The answer is B.
Here speed is constant,its direction is continually changing,so that its velocity is changing,and acceleration is acting towards the centre.


