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Yes, a body moving at variable speed can move in a circle if it is subject to a centripetal force that keeps it curved along a circular path. This force is needed to constantly change the body's direction, allowing it to move in a circular motion despite changes in speed.
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Can a body have constant speed as well as variable velocity?
No, constant speed implies that the body is moving at a consistent rate, while variable velocity means the direction of motion is changing. It is not possible for a body to have both constant speed and variable velocity simultaneously.
Why is the acceleration of a body moving uniformly in a circle directed towards the centre?
The acceleration of a body moving uniformly in a circle is directed towards the center of the circle because it is constantly changing direction due to the change in velocity (even though the speed is constant). This change in direction results in a centripetal acceleration that keeps the body moving in a circular path.
What is the condition in which a body moving with uniform speed has a variable velocity?
The condition in which a body moving with uniform speed has a variable velocity is when the direction of motion changes even though the speed remains constant. This means that the object is accelerating, even though its speed does not change.
Why is acceleration of a body moving uniformaly in a circle directed toward the centre?
The acceleration of a body moving uniformly in a circle is directed towards the center because the velocity of the body is constantly changing direction, even though its speed remains constant. This change in direction of the velocity results in a centripetal acceleration that is required to keep the body moving in a circular path.
Can an objeact have constant speed and but variable velocity?
No, if an object has constant speed, its velocity must also be constant. Velocity is a vector quantity that includes both speed and direction. If the speed is constant, the direction must also be constant for the velocity to be constant.
What would be the shape of a speed time graph of a body moving with variable speed?
If a body is moving with variable speed, then the only thing you can say aboutits speed/time graph is that the graph is not a straight, horizontal line.
Can a body have constant speed as well as variable velocity?
No, constant speed implies that the body is moving at a consistent rate, while variable velocity means the direction of motion is changing. It is not possible for a body to have both constant speed and variable velocity simultaneously.
How much work may be done on a body that moves in a circle with constant speed?
If there's a body moving in a circle with constant speed, and you come along and do work on it, then either its speed will change, or it will depart from the circle, or both. The force that's keeping it on the circular path is not doing any work on it.
Why is the acceleration of a body moving uniformly in a circle directed towards the centre?
The acceleration of a body moving uniformly in a circle is directed towards the center of the circle because it is constantly changing direction due to the change in velocity (even though the speed is constant). This change in direction results in a centripetal acceleration that keeps the body moving in a circular path.
What is the condition in which a body moving with uniform speed has a variable velocity?
The condition in which a body moving with uniform speed has a variable velocity is when the direction of motion changes even though the speed remains constant. This means that the object is accelerating, even though its speed does not change.
What will be acceleration of a car moving in a circular motion with constant speed.?
If body is moving in a circle with uniform or constant speed its acceleration will be uniform as velocity i.e. to say direction is changing at every point.
Can the average speed of a body be zero and can the average velocity of a moving body be zero?
Since speed is a scalar quantity, the only way the average speed can be zero is if the instantaneous speed is at all times zero, making it not a moving body, so no on the average speed. The average velocity, on the other hand, can easily be zero. The simplest example is you running in a circle.
Why is acceleration of a body moving uniformaly in a circle directed toward the centre?
The acceleration of a body moving uniformly in a circle is directed towards the center because the velocity of the body is constantly changing direction, even though its speed remains constant. This change in direction of the velocity results in a centripetal acceleration that is required to keep the body moving in a circular path.
Can an objeact have constant speed and but variable velocity?
No, if an object has constant speed, its velocity must also be constant. Velocity is a vector quantity that includes both speed and direction. If the speed is constant, the direction must also be constant for the velocity to be constant.
Can a body have constant speed and still be accelerating give example?
Yes. The simplest example is an object moving at a constant speed in a circle.
How can a body be accelerating when moving at constant speed?
A body can be accelerating even when moving at a constant speed if its direction of motion changes. Acceleration is a vector quantity that takes into account changes in speed, direction, or both. For example, a car traveling in a circle at a constant speed is changing its direction continuously and therefore experiencing acceleration.
How many times centripetal force will increase if the angular speed of a body moving with uniform speed moving in a circle is increases?
The centripetal force is directly proportional to the square of the angular speed. So, if the angular speed of a body moving in a circle is increased, the centripetal force will increase by a factor equal to the square of the increase in angular speed.
