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A motorcycle is moving at constant speed around a horizontal circular track. What happens to the centripetal acceleration, ac, of the motorcycle if the speed is doubled?
a) It remains the same.
b) It is decreased by a factor of one-half.
c) It increases by a factor of 2.
d) It is decreased by a factor of one-fourth.
e) It increases by a factor of 4.
Ac = (v^2)/r
So if you double v, then Ac should increase by 4. But the solution says the answer is b. Can someone explain please?
a) It remains the same.
b) It is decreased by a factor of one-half.
c) It increases by a factor of 2.
d) It is decreased by a factor of one-fourth.
e) It increases by a factor of 4.
Ac = (v^2)/r
So if you double v, then Ac should increase by 4. But the solution says the answer is b. Can someone explain please?