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# A cube 5.0 cm on each side is made of a metal alloy. After ISBN: 9780321675460 31

## Solution for problem 2E Chapter 12

University Physics | 13th Edition

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Problem 2E

A cube 5.0 cm on each side is made of a metal alloy. After you drill a cylindrical hole 2.0 cm in diameter all the way through and perpendicular to one face, you find that the cube weighs 6.30 N. (a) What is the density of this metal? (b) What did the cube weigh before you drilled the hole in it?

Step-by-Step Solution:

Solution 2E Step 1 of 7: In the given problem, a cube of side a= 5 cm with volume V made of alloy is drilled 1 with a cylindrical hole of diameter d= 2cm through and perpendicular to one face, with cylinder volume V and the cube volume reducing to V resulting in weight of W= 6.3 2 N after drilling. Here in part (a) we need to find the density of the metal by calculating the cube volume after drilling and mass. In part(b) we need to find the weight of cube before drilling using the density and volume of cube . Step 2 of 7: Given data, Side of cube, a=5 cm =0.05 m Diameter of cylindrical hole,d= 2 cm=0.02 m Radius of cylindrical hole, r=d/2 =0.01 m Length of cylindrical hole, L=a=0.05 m Weight of the cube after drilling, W=6.3 N To find, Volume of cube before drilling, V =1 Volume of cylindrical section, V =2 The new volume of cube after drilling, V=V V1= 2 (a)Density of metal alloy, = (b)Weight of cube before drilling, F =g Step 3 of 7: (a) What is the density of this metal To calculate Volume of cube before drilling V = a 3 1 3 Substituting a= 0.05 m V 1 (0.05 m) 4 3 V 1 1.25 × 10 m Step 4 of 7: To calculate Volume of cylindrical section Volume of the cylinder of radius r and length L, V = r L 2 2 Substituting r=0.01 m and L=0.05 m 2 V =23.14(0.01m) (0.05m) V = 0.157 × 10 m 4 3 2

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##### ISBN: 9780321675460

Since the solution to 2E from 12 chapter was answered, more than 868 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 2E from chapter: 12 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: Cube, metal, hole, face, Density. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A cube 5.0 cm on each side is made of a metal alloy. After you drill a cylindrical hole 2.0 cm in diameter all the way through and perpendicular to one face, you find that the cube weighs 6.30 N. (a) What is the density of this metal? (b) What did the cube weigh before you drilled the hole in it?” is broken down into a number of easy to follow steps, and 61 words. University Physics was written by and is associated to the ISBN: 9780321675460.

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