Physics, 14.01.2020 19:31, tmax8437

If an object is in uniform circular motion, then it is accelerating towards the center of the circle; yet the object never gets any closer to the center of the circle. it maintains a circular path at a constant radius from the circle's center. suggest a reason as to how this can be. how can an object accelerate towards the center without ever getting any closer to the center?

Answers: 2

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The reason why an object in circular motion can accelerate towards the center but never gets closer to the center of the circle because;

The Centripetal force pulling it towards the center is balanced by the centrifugal force pulling it away from the center.

We are told that;

- The object is in circular motion

- The object is accelerating towards the center of the circle

- The object never gets closer to the center

- The object maintains a constant radius from the circle's center

Now, for an object in circular motion, the force that makes it go in that circular motion is called centripetal force.Now, for the object in this circular motion to fulfill all the properties listed above, it means the net force acting on it must be zero.Now, for the net force to be zero, there is another force called Centrifugal force acting on the object that tries to pull the object from moving towards the center and it is equal to the centripetal force.

Thus, in conclusion the object never gets anywhere close to the center because there are two forces acting on it that are opposite and equal to each other named centripetal and centrifugal forces.

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answered: j015

Explanation:

When an object moves in a circle with constant velocity, acceleration is experienced by the object towards the center of the circle. It is due to the change in the direction of the velocity vector which is generating the centripetal acceleration. Thus it the acceleration which velocity is generating itself, so it is not able to move body inwards.

Also, inertia and tangential velocity cause the body to move in the circular path.

answered: Guest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

answered: Guest

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