What is the difference between weight and mass? Why do some metals weigh less than others even though they are denser (heavier)?
Weight and mass are often used interchangeably, but they are not the same thing. Mass is a scalar quantity that measures the amount of matter present in an object, and it is measured in units of grams (g) or kilograms (kg). Weight, on the other hand, is a force that is caused by gravity acting on an object, and it is measured in units of newtons (N) or pounds (lb).
The weight of an object can be calculated by multiplying its mass by the acceleration due to gravity (g). The acceleration due to gravity is constant at 9.8 m/s^2 on Earth. So, the weight of an object is given as W = m*g, where m is the mass of the object.
Density is the ratio of an object's mass to its volume. So, denser materials have more mass per unit of volume than less dense materials.
Even though some metals are denser than others, they may weigh less because the difference in density is not large enough to overcome the difference in volume. For example, the density of gold is 19.3 g/cm^3, while the density of aluminum is 2.7 g/cm^3. Although gold is denser than aluminum, it weighs less because it has a smaller volume.
Some other factors that can affect the weight of a metal such as temperature, pressure, and altitude.
It's important to note that weight is affected by the gravitational force and it can vary depending on the location, while the mass remains constant.
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