Question

You've written a computer program in which a hamster of mass m is running in a perfect circle of radius r at a constant speed v. As you alter the variables in your code to see what will happen, rank the following changes by how much they would change the magnitude of the hamster's acceleration compared to having made no changes at all. (I.e., take the ratio of the accelerations, after/before, and sort those from smallest to largest.) Except the changes noted below, assume all other parameters remain the same in your simulation. A. Doubling the hamster's speed B. Tripling the radius of the hamster's circular path C. Doubling the hamster's mass D. Halving the radius of the hamster's circular path E. Halving the speed of the hamster

Answer 1

A body of mass ' m ' moving in a circular path will undergo acceleration called centripetal acceleration and is directed towards the center of the circular path.

The magnitude of the centripetal acceleration is given by,

A)

doubling the speed

new acceleration,

B)

Tripling the radius,

C)

Doubling the mass,

since the equation doesn't depend on the mass of the body,

D)

halving the radius

E)
halving the velocity

Comparing the different conditions the smallest change to largest change will be

E - halving the velocity

B - tripling the radius

C - doubling the mass

D- halving the radius

A - doubling the speed

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