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an object tied to the end of a string moves in a circle. the force exerted by the string depends on the mass of the object, its...Asked by Divine
an object tied to the end of a string moves in a circle. the force exerted by the string depends on the mass of the object, its speed, and the radius of the circle what combination of these variables gives the correct dimensions (ML/T2) for the force?
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Anonymous
force = m a = M L/T^2
M L/T^2 = M * L/T * L/T * 1/L
but
M is mass
L/T is speed
1/L is 1/R
so
constant times
m v^2 / R
M L/T^2 = M * L/T * L/T * 1/L
but
M is mass
L/T is speed
1/L is 1/R
so
constant times
m v^2 / R