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A ball moves around in a uniform circle on a string with a force of 10N. If the mass and radius are held constant, what is the new Force when the velocity is doubled?
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37 votes
37 votes
A ball moves around in a uniform circle on a string with a force of 10N. If the mass and radius are held

constant, what is the new Force when the velocity is doubled?

User Bassam Gamal
by
2.5k points

1 Answer

17 votes
17 votes

Answer:

Step-by-step explanation:

Given:

F = 10 N

m = m₁

R = R₁

_________

F₁ - ?

Centripetal force:

F = m·V² / R

F₁ = m₁·(V₁)² / R₁ = m·(2·V)² / R = 4·m·V² / R = 4·F


Strength will increase by 4 times:

F₁ = 4·10 = 40 N

User Hojin
by
3.1k points
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