Problem 3 (10 pts) A small steel ballis released from rest in a tall ube filled

Question

Problem 3 (10 pts) A small steel ballis released from rest in a tall ube filled with a viscous liqu as magnitude Fo of the force exerted by the liquid on the ball can be mode where v is the speed of the ball. The velocity of the ball is measured at dimee plotted as shown below. Use g 9.800 m/s2 with a viscous liquid. The m of the ball is measured at different times and elow. Use g -9.8 Velocity of the steel ball in a liquid 4.00 3.50 3.00 2.50 2.00 > 1.50 1.00 0.50 0.5 1.5 2.5 3.5 Time (s) a) What is the terminal speed of the ball? b) What is the time constant?

Explanation / Answer

a) Vt = 4m/s

B) time constant = half life / .693

= .35 / .693 = .5 sec

At one time constant 63% of velocity acieved

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