(a) You pull a solid nickel ball with a density of 8.91 g/cm3 and a radius of 1.20 cm upward through a fluid at a constant speed of 7.00 cm/s. The fluid exerts a drag force that is directly proportional to speed, and the proportionality constant is 0.950 kg/s. What is the magnitude of the force (in N) you exert on the ball? (You may ignore the buoyant force.) (b) What If? By what percentage would the upward force exerted on the nickel ball have to be increased for the speed of the ball in the fluid to increase to double its original value?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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(a) You pull a solid nickel ball with a density of 8.91 g/cm3 and a radius of 1.20 cm upward through a fluid at a constant speed of 7.00 cm/s. The fluid exerts a drag
force that is directly proportional to speed, and the proportionality constant is 0.950 kg/s. What is the magnitude of the force (in N) you exert on the ball? (You may
ignore the buoyant force.)
(b) What If? By what percentage would the upward force exerted on the nickel ball have to be increased for the speed of the ball in the fluid to increase to double its
original value?
%
Transcribed Image Text:(a) You pull a solid nickel ball with a density of 8.91 g/cm3 and a radius of 1.20 cm upward through a fluid at a constant speed of 7.00 cm/s. The fluid exerts a drag force that is directly proportional to speed, and the proportionality constant is 0.950 kg/s. What is the magnitude of the force (in N) you exert on the ball? (You may ignore the buoyant force.) (b) What If? By what percentage would the upward force exerted on the nickel ball have to be increased for the speed of the ball in the fluid to increase to double its original value? %
A small, spherical bead of mass 2.80 g is released from rest at t = 0 from a point under the surface of a viscous liquid. The terminal speed is observed to be v, = 2.34
cm/s.
(a) Find the value of the constant b in the equation R = -bv.
N-s/m
(b) Find the time t at which the bead reaches 0.632VT.
(c) Find the value of the resistive force when the bead reaches terminal speed.
N
Transcribed Image Text:A small, spherical bead of mass 2.80 g is released from rest at t = 0 from a point under the surface of a viscous liquid. The terminal speed is observed to be v, = 2.34 cm/s. (a) Find the value of the constant b in the equation R = -bv. N-s/m (b) Find the time t at which the bead reaches 0.632VT. (c) Find the value of the resistive force when the bead reaches terminal speed. N
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