What is the mass of 100 newton? What is the mass of 100 grams?
The Correct Answer and Explanation is:
Correct Answers:
- Mass of 100 Newtons: Mass=Weightg=100 N9.8 m/s2≈10.2 kg\text{Mass} = \frac{\text{Weight}}{g} = \frac{100 \, \text{N}}{9.8 \, \text{m/s}^2} \approx 10.2 \, \text{kg}Mass=gWeight=9.8m/s2100N≈10.2kg
- Mass of 100 grams: Mass=100 g=0.1 kg\text{Mass} = 100 \, \text{g} = 0.1 \, \text{kg}Mass=100g=0.1kg
Explanation
To understand the concepts of weight and mass, it is important to distinguish between the two. Mass is a measure of the amount of matter in an object and is usually expressed in kilograms or grams. Weight, on the other hand, is the force exerted by gravity on that mass. Weight is measured in Newtons (N).
The relationship between mass and weight is defined by the formula:Weight (N)=Mass (kg)×g\text{Weight (N)} = \text{Mass (kg)} \times gWeight (N)=Mass (kg)×g
where ggg is the acceleration due to gravity, approximately 9.8 meters per second squared on Earth.
To find the mass of a 100 Newton object, we rearrange the formula:Mass (kg)=Weight (N)g\text{Mass (kg)} = \frac{\text{Weight (N)}}{g}Mass (kg)=gWeight (N)
Plugging in the values:Mass=1009.8≈10.2 kg\text{Mass} = \frac{100}{9.8} \approx 10.2 \, \text{kg}Mass=9.8100≈10.2kg
This means an object that weighs 100 Newtons has a mass of approximately 10.2 kilograms.
Now, for the mass of 100 grams, we simply convert grams to kilograms, since kilograms are the standard SI unit for mass. There are 1,000 grams in a kilogram, so:100 g=1001000=0.1 kg100 \, \text{g} = \frac{100}{1000} = 0.1 \, \text{kg}100g=1000100=0.1kg
So, the mass of 100 grams is 0.1 kilograms.
Understanding these conversions is fundamental in physics, especially in problems involving forces, motion, and energy. Mass remains constant regardless of location, while weight can change depending on the strength of gravity at different places, such as on the Moon or other planets.
