Explanation Given data: Mass of the woman ( m W ) is 50 kg. The woman is worn high-heeled shoes. Diameter of the circular heel ( d W ) is 0.50 cm. The weight of the woman lies on one heel. That is, the woman stands on one foot. Mass of the elephant ( m E ) is 5000 kg. Diameter of the circular foot the elephant ( d E ) is 40 cm. The elephant stands on her four feet. Formula used: Write the expression for the stress as follows. Stress = F A (1) Here, F is the applied force, and A is the cross-sectional area. Write the expression for cross-sectional area for circular object as follows. A = π 4 d 2 (2) Here, d is the diameter of the circular object. Write the expression applied force by the using Newton’s second law as follows. F = m g (3) Here, m is the mass of the object, and g is the acceleration due to gravity of the earth, which is 9.8 m s 2 . Explanation: Calculation of stress applied by the woman [ ( Stress ) W ] : Modify the expression in equation (1) for the stress applied by the woman as follows. ( Stress ) W = F W A W (4) Here, F W is the force applied by the woman with her one foot, and A W is the cross-sectional area of one heel. Modify the expression in equation (3) for the force applied by the woman with her one foot as follows. F W = m W g (5) Modify the expression in equation (2), for the cross-sectional area of one heel of the woman as follows. A W = π 4 ( d W ) 2 (6) From equation (5), and (6), substitute m W g for F W , and [ π 4 ( d W ) 2 ] for A W in equation (4), ( Stress ) W = m W g π 4 ( d W ) 2 Substitute 50 kg for m W , 9.8 m s 2 for g , and 0.50 cm for d W , ( Stress ) W = ( 50 kg ) ( 9.8 m s 2 ) ( π 4 ) ( 0.50 cm ) 2 = 490 kg ⋅ m s 2 ( π 4 ) ( 0.50 × 10 − 2 m ) 2 = 490 N ( π 4 ) ( 0.250 × 10 − 4 m 2 ) { ∵ 1 kg ⋅ m s 2 = 1 N } = 24

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Chapter 8, Problem 40P

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To find: Whether the woman or the elephant is more likely to dent the floor.

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Chapter 8, Problem 39P

Chapter 8, Problem 41P

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Chapter 8 Solutions

Pearson eText for College Physics: A Strategic Approach -- Instant Access (Pearson+)

Ch. 8 - Prob. 1CQ Ch. 8 - Could a ladder on a level floor lean against a...Ch. 8 - Prob. 3CQ Ch. 8 - Prob. 4CQ Ch. 8 - Prob. 5CQ Ch. 8 - Prob. 6CQ Ch. 8 - Prob. 7CQ Ch. 8 - A spring exerts a 10 N force after being stretched...Ch. 8 - Prob. 9CQ Ch. 8 - A typical mattress has a network of springs that...

Ch. 8 - Take a spring and cut it in half to make two...Ch. 8 - A wire is stretched right to its breaking point by...Ch. 8 - Prob. 13CQ Ch. 8 - Prob. 14CQ Ch. 8 - Steel nails are rigid and unbending. Steel wool is...Ch. 8 - Two children hold opposite ends of a lightweight,...Ch. 8 - Prob. 19MCQ Ch. 8 - Prob. 20MCQ Ch. 8 - Prob. 21MCQ Ch. 8 - Prob. 22MCQ Ch. 8 - Prob. 23MCQ Ch. 8 - Prob. 24MCQ Ch. 8 - Prob. 25MCQ Ch. 8 - Prob. 26MCQ Ch. 8 - You have a heavy piece of equipment hanging from a...Ch. 8 - Prob. 1P Ch. 8 - Prob. 2P Ch. 8 - Prob. 3P Ch. 8 - Prob. 4P Ch. 8 - Youre carrying a 3.6-m-long, 25 kg pole to a...Ch. 8 - Prob. 6P Ch. 8 - Prob. 7P Ch. 8 - Prob. 9P Ch. 8 - Prob. 11P Ch. 8 - Prob. 13P Ch. 8 - Prob. 14P Ch. 8 - Prob. 15P Ch. 8 - The stability of a vehicle is often rated by the...Ch. 8 - Prob. 18P Ch. 8 - A car manufacturer claims that you can drive its...Ch. 8 - Prob. 20P Ch. 8 - An orthodontic spring, connected between the upper...Ch. 8 - Prob. 22P Ch. 8 - Experiments using optical tweezers measure the...Ch. 8 - Prob. 24P Ch. 8 - One end of a 10-cm-long spring is attached to the...Ch. 8 - Prob. 26P Ch. 8 - A spring has an unstretched length of 10 cm. It...Ch. 8 - A spring stretches 5.0 cm when a 0.20 kg block is...Ch. 8 - You need to make a spring scale to measure the...Ch. 8 - Prob. 30P Ch. 8 - A force stretches a wire by 1.0 mm. a. A second...Ch. 8 - Prob. 32P Ch. 8 - What hanging mass will stretch a 2.0-m-long,...Ch. 8 - An 80-cm-long, 1.0-mm-diameter steel guitar string...Ch. 8 - A mineshaft has an ore elevator hung from a single...Ch. 8 - The normal force of the ground on the foot can...Ch. 8 - A three-legged wooden bar stool made out of solid...Ch. 8 - Prob. 38P Ch. 8 - Prob. 39P Ch. 8 - Prob. 40P Ch. 8 - A glass optical fiber in a communications system...Ch. 8 - The Achilles tendon connects the muscles in your...Ch. 8 - Prob. 44P Ch. 8 - Prob. 47P Ch. 8 - Prob. 48P Ch. 8 - Prob. 49P Ch. 8 - Prob. 51GP Ch. 8 - Prob. 52GP Ch. 8 - Prob. 53GP Ch. 8 - Prob. 55GP Ch. 8 - Two identical, side-by-side springs with spring...Ch. 8 - Prob. 57GP Ch. 8 - Prob. 58GP Ch. 8 - Prob. 59GP Ch. 8 - A 25 kg child bounces on a pogo stick. The pogo...Ch. 8 - Prob. 61GP Ch. 8 - In the hammer throw, an athlete spins a heavy mass...Ch. 8 - There is a disk of cartilage between each pair of...Ch. 8 - Orb spiders make silk with a typical diameter of...Ch. 8 - Larger animals have sturdier bones than smaller...Ch. 8 - Prob. 67GP Ch. 8 - Prob. 68GP Ch. 8 - Prob. 69MSPP Ch. 8 - Prob. 70MSPP Ch. 8 - Prob. 71MSPP Ch. 8 - Prob. 72MSPP

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