can an object have constant acceleration with zero velocity when it moves on a circular path
Answers
Answer:
no
Explanation:
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SOLUTION.
If a body moving in a circular path than two.force of Equal magnitude acts upon it which is based on frame of reference.
IF WE SEE THE MOTION FROM THE BODY ITSELF.
If we choose the body as the frame of reference. Than the force acting on the body is radially outwards. whose magnitude is equal to....
F = mv²/r
where m is the mass of the body.
r is the radius of the path.
v is the velocity of the body.
From NLM we know that F = ma.
where a is the acceleration of the body of mass m.
hence we get...
F = mv²/r
ma = mv²/r
a = v²/r
As you can see the acceleration due to this force is depend on velocity of a body has constant acceleration than it also have constant speed
Velocity can not be zero.
IF WE SEE THE MOTION FROM OUTSIDE THE BODY.
IF we see the motion from outside the body than the magnitude remain the same but direction become radially inwards.
In this case also we get....
a = v²/r
Hence acceleration is constant when velocity is constant and cannot be zero.
TAGENTIAL FORCE.
If the force acting tangentially that is perpendicular to the contact with the circle so in this case velocity changes with time.
a = dv/dt
if acceleration is zero than velocity remain the same but cannot be zero.
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