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To obtain uniform circular motion, how must the net force depend on the speed of the moving object?

User Robin Coe
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Final answer:

The net force required for uniform circular motion is the centripetal force, directed towards the center of the circular path and calculable using the formula Fc = m * ac, where 'ac' is the centripetal acceleration.

Step-by-step explanation:

To obtain uniform circular motion, the net force must be a centripetal force, which means it is directed towards the center of the circular path. According to Newton's second law of motion, the force equals mass times acceleration, F = ma. For an object in uniform circular motion, the acceleration is the centripetal acceleration, a = ac, so the magnitude of the net force, or centripetal force, is Fc = m * ac. The value of the centripetal force depends on the mass of the object in motion, the velocity at which it is traveling, and the radius of the circular path. Because the velocity's direction is changing, even if its magnitude remains constant, there is a continuous acceleration towards the center of the circle, making the motion uniform.

User Ibramazin
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