Making a study guide for my final. Please show all work so that I may easily fol

Question

Making a study guide for my final. Please show all work so that I may easily follow. Thank you!

A sturdy rubber band with a rectangular cross section is cut to form a long piece of rubber with dimensions 60.00
cm by 0.3000 cm by 0.1500 cm. The rubber used has a Young's modulus Y = 5.500 x 10^6 N/m^2 , a bulk modulus B = 1.000 x 10^6 N/m^2, and a density p = 940.0 kg/m3 .

A spherical rubber ball is made of the same material as the rubber band. It has a mass of m = 0.7500 kg. Note: Please keep four significant figures.

(a) What is the volume of the rubber ball? What is the radius of the ball?

Explanation / Answer

We are given the density of the rubber as 940.0 kg/m3.

(a) the volume of a 0.75 kg ball is

(0.7500 kg)/(940.0 kg/m3) = 7.979 * 10-4 m3

Since the volume V of a sphere is (4/3)r3, its radius is

r = ((3/4)V)1/3 = 5.754 * 10-2 m

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