Give an example of what it means to say mass and weight are proportional to each other?

We will use the concept of direct and inverse proportion in order to find the required answer.

Answer: An example where mass and weight are proportional to each other is Force due to gravity ( Weight ) = mass of the body × acceleration due to gravity

Let us see how we will use the concept of direct and indirect proportion in order to find the required answer.

Explanation:

Directly proportional means that if one quantity increases then the other quantity also increases if the quantities are directly proportional.

Given: mass is directly proportional to weight.

Mathematically it can be written as

weight ∝ mass

weight = mass × k

where k is the constant of proportion after the proportionality sign is removed.

An example to understand this can be taken as Force due to gravity as shown below.

Force due to gravity ( Weight ) = mass of the body × acceleration due to gravity

where the acceleration due to gravity acts as the proportionality constant.

Hence, an example where mass and weight are proportional to each other is Force due to gravity ( Weight ) = mass of the body × acceleration due to gravity