Find the weight on the surface of the Earth of a body whose...

Find the weight on the surface of the Earth of a body whose mass is (a) $3.00 \mathrm{~kg}$, and (b) $200 \mathrm{~g}$. The general relation between mass $m$ and weight $F_{W}$ is $F_{W}=m g$. In this relation, $m$ must be in kilograms, $g$ in meters per second squared, and $F_{W}$ in newtons. On Earth, $g=9.81 \mathrm{~m} / \mathrm{s} 2$. The acceleration due to gravity varies from place to place in the universe. (a) $F_{W}=(3.00 \mathrm{~kg})\left(9.81 \mathrm{~m} / \mathrm{s}^{2}\right)=29.4 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}^{2}=29.4 \mathrm{~N}$ (b) $F_{W}=(0.200 \mathrm{~kg})\left(9.81 \mathrm{~m} / \mathrm{s}^{2}\right)=1.96 \mathrm{~N}$

Find the weight on the surface of the Earth of a body whose mass is
(a) $3.00 \mathrm{~kg}$, and
(b) $200 \mathrm{~g}$.
The general relation between mass $m$ and weight $F_{W}$ is $F_{W}=m g$. In this relation, $m$ must be in kilograms, $g$ in meters per second squared, and $F_{W}$ in newtons. On Earth, $g=9.81 \mathrm{~m} / \mathrm{s} 2$. The acceleration due to gravity varies from place to place in the universe.
(a) $F_{W}=(3.00 \mathrm{~kg})\left(9.81 \mathrm{~m} / \mathrm{s}^{2}\right)=29.4 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}^{2}=29.4 \mathrm{~N}$
(b) $F_{W}=(0.200 \mathrm{~kg})\left(9.81 \mathrm{~m} / \mathrm{s}^{2}\right)=1.96 \mathrm{~N}$

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Key Concepts

Gravitational Acceleration

Gravitational acceleration is the rate at which objects accelerate towards a massive body due to gravity. On Earth, this value is approximately 9.81 m/s² and is a key factor in determining an object's weight.

Unit Conversion

Unit conversion ensures that all measurements are in compatible units for accurate computation. In this context, converting mass from grams to kilograms is essential because the SI unit for mass is the kilogram, which is required when using the weight equation F = mg.

Mass

Mass is a fundamental property of an object representing the amount of matter it contains. It is constant regardless of location and is measured in kilograms in the International System of Units (SI), providing a basis for many physics calculations.

Weight

Weight is the force exerted on an object due to gravity acting upon its mass. It is calculated using the equation F = mg, where g is the gravitational acceleration, and is measured in newtons in the SI system.

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