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A particle object undergoes uniform circular motion at a speed v around a circle of radius...

A particle object undergoes uniform circular motion at a speed v around a circle of radius r. Given v and r, the magnitude of centripetal acceleration is a0. Assume when either v or r are changed, the particle remains in uniform circular motion.

1. Suppose the radius of the circle is cut in half. What happens to the magnitude of the centripetal acceleration?

choices: the acceleration doubles, acceleration increases by square root of 2, acceleration remains the same, acceleration decreases by square root of 2, the acceleration is cut in half.

2. Suppose the radius is still the original r and now the speed is doubled. What happens to the magnitude of the centripetal acceleration?

choices: acceleration goes down by a factor of 4, acceleration is cut in half, acceleration remains the same, acceleration doubles, acceleration increases by a factor of 4

3. Suppose all that you know is that the centripetal acceleration doubled in magnitude. What do we know about any changes to v and r that occurred?

choices: velocity must have increased, radius of circle must have increased, radius of circle must have decreased, combination of increase in radius and decrease in velocity, combination of increase in velocity and decrease in radius, combination of increase in velocity and increase in radius

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