in a moving liquid is given by where vis the difference in the velocities of the planes, x their distance apart and q a constant for the liquid. (a) Show that the đimensions of are ML-T. (b) The force F acting on a sphere moving through a liquid is known to depend upon (1) the radius rof the sphere, (i) the speed s of the sphere, (ii) the constant y for the liquid. Find how F depends on r, u and . w 911

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Chapter5: Further Applications Of Newton's Laws: Friction, Drag, And Elasticity
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BS1 The stress o between two planes of molecules
in a moving liquid is given by
where v is the difference in the velocities of the
planes, x their distance apart and a constant
for the liquid.
(a) Show that the dimensions of are
ML-1T-.
(b) The force F acting on a sphere moving
through a liquid is known to depend upon
(i) the radius r of the sphere,
(i) the speed se of the sphere,
(iii) the constant y for the liquid.
Find how F depends on r, u and n.
IW 911
Transcribed Image Text:BS1 The stress o between two planes of molecules in a moving liquid is given by where v is the difference in the velocities of the planes, x their distance apart and a constant for the liquid. (a) Show that the dimensions of are ML-1T-. (b) The force F acting on a sphere moving through a liquid is known to depend upon (i) the radius r of the sphere, (i) the speed se of the sphere, (iii) the constant y for the liquid. Find how F depends on r, u and n. IW 911
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