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Chapter 4: Problem 40

A young South African girl has a mass of \(40.0 \mathrm{kg}.\) (a) What is her weight in newtons? (b) If she came to the United States, what would her weight be in pounds as measured on an American scale? Assume \(g=9.80 \mathrm{N} / \mathrm{kg}\) in both locations.

Short Answer

Expert verified
Answer: The girl's weight in newtons is 392 N, and her weight in pounds is 88.10 lbs.

Step by step solution

01

Calculate the girl's weight in newtons

Use the formula W = mg to find the girl's weight in newtons, where m = 40.0 kg and g = 9.80 N/kg. So, W = (40.0 kg)(9.80 N/kg) = 392 N.
02

Convert the weight from newtons to pounds

To convert the girl's weight from newtons to pounds, use the conversion factor, 1 N = 0.2248 lbs. So, multiply her weight in newtons by this factor: (392 N)(0.2248 lbs/N) = 88.10 lbs. Based on the calculations: (a) The girl's weight in newtons is 392 N. (b) Her weight in pounds as measured on an American scale is 88.10 lbs.

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