(a) An ordinary flea has a mass of 210 μ. How many newtons does it weigh? (b) The mass of a typi

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(a) An ordinary flea has a mass of 210 μ. How many newtons...

(a) An ordinary flea has a mass of $210 \mu$. How many newtons does it weigh? (b) The mass of a typical froghopper is $12.3 \mathrm{mg}$. How many newtons does it weigh? (c) A house cat typically weighs $45 \mathrm{~N}$. How many pounds does it weigh, and what is its mass in kilograms?

Key Concepts

Mass versus Weight

Mass is a measure of the amount of matter in an object and is constant regardless of location, while weight is the force exerted on that mass by gravity. Weight depends on both mass and the local gravitational field strength. In problems like these, it’s essential to convert a given mass into the corresponding weight by applying the gravitational acceleration.

Gravitational Acceleration

Gravitational acceleration (approximately 9.8 m/s² on Earth) is used to convert mass (in kilograms) to force (in newtons) by the relation Weight = Mass × Gravitational Acceleration. This concept is central when translating between mass and the force experienced due to gravity.

Unit Conversion in SI

Working with different units (such as micrograms, milligrams, and kilograms) requires careful conversion into a consistent unit system, typically the SI system, before further calculations. Converting micrograms and milligrams to kilograms ensures that the multiplication with gravitational acceleration yields a weight expressed in newtons.

Conversion between SI and Imperial Units

When converting weights from newtons to pounds, it is important to use the appropriate conversion factor between the SI and Imperial systems. This concept helps bridge the gap between measurements in newtons (a unit of force in the SI system) and pounds (a unit of force in the Imperial system), enabling proper interpretation of weight in different contexts.

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