matthewwayoe22 matthewwayoe22

03-08-2020
Physics

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PHYSICS
A small sphere of mass 2g is released from rest in a large vessel filled with oil, where it
experiences a resistive force proportional to its speed. The sphere reaches a terminal speed of 5.00
cm/s. Determine the time constant given the following masses.

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MathPhys MathPhys

03-08-2020

Answer:

5.10×10⁻³ s

Explanation:

At terminal velocity, the acceleration is 0.

Sum of forces in the y direction:

∑F = ma

bv − mg = 0

mg = bv

m = bv / g

m/b = v/g

τ = v/g

τ = (5.00 cm/s) / (980 cm/s²)

τ = 5.10×10⁻³ s

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