A person ties a rock to a string and whirls it around in a vertical circle such

Question

A person ties a rock to a string and whirls it around in a vertical circle such that sometimes the rock is going straight upward and sometimes the rock is going straight down. She whirls the rock at the minimum speed (constant in time) such that the string is always taut (no sag). If she were to use a longer string, she would have to whirl the rock at a Select one: a. the same velocity. b. higher velocity. c. lower velocity. A person ties a rock to a string and whirls it around in a vertical circle such that sometimes the rock is going straight upward and sometimes the rock is going straight down. She whirls the rock at the minimum speed (constant in time) such that the string is always taut (no sag). If she were to use a longer string, she would have to whirl the rock at a Select one: a. the same velocity. b. higher velocity. c. lower velocity. Select one: a. the same velocity. b. higher velocity. c. lower velocity. a. the same velocity. b. higher velocity. c. lower velocity.

Explanation / Answer

gravitational force exerted by earth on the body is cancel out by centripetal force acting on the rock due to circular motion

lets consider the bottom most point where

m v^2 / R = mg

R = V^2 / g

so if we want to increase the radius we need to increase the velocity aswel to keep it in unifrom circular motion.

the answer is

B. Higher Velocity

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