/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 33 An object has a mass of \(10 \ma... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 33

An object has a mass of \(10 \mathrm{~kg}\) at a location where the acceleration of gravity is \(9.81 \mathrm{~m} / \mathrm{s}^{2}\). Determine its weight in (a) English Engineering units, (b) British Gravitational units, and (c) SI units.

Short Answer

Expert verified
The object's weight in (a) English Engineering units is approximately 22 lbf, (b) British Gravitational units is approximately 710 pdl, and (c) SI units is 98.1 N.

Step by step solution

01

Calculate weight in Newtons

The weight of an object can be calculated using the formula \(weight = mass \times g\), where g is the acceleration due to gravity. In this case, mass is 10 kg and \(g = 9.81 m/s^{2}\). Hence, the weight in Newtons (N) is \[ 10 kg \times 9.81 m/s^{2} = 98.1 N \].
02

Convert weight to English Engineering units

In English Engineering units, weight is often measured in pounds-force (lbf). Using the conversion factor \(1 N = 0.224808943 lbf\), weight in lbf is \[ 98.1 N \times 0.224808943 lbf/N = 22.0418444 lbf \]. It is customary to round off to the nearest whole number, hence the weight is approximately 22 lbf.
03

Convert weight to British Gravitational units

In British Gravitational units, weight is often measured in poundals (pdl). Using the conversion factor \(1 N = 7.23301 pdl\), weight in pdl is \[ 98.1 N \times 7.23301 pdl/N = 709.643731 pdl \]. It is customary to round off to the nearest whole number, hence the weight is approximately 710 pdl.
04

State weight in SI units

The calculated weight was initially in SI units (i.e., Newtons). Hence, the weight in SI units is 98.1 N.

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