Question

What is the force of gravity of a 500N woman standing on Earth's surface(50N, 250N, 500N, 509.8N, none of these)

Answer 1

The force of gravity of a 500N woman standing on Earth's surface is none of these. The weight of an object is equal to the force of gravity acting on it, which can be calculated using the equation w = mg.

The force of gravity acting on a 500N woman standing on Earth's surface is indeed her weight. Weight is the force exerted on an object due to gravity, and it is measured in newtons (N). The weight of an object can be calculated using the formula \(w = mg\), where \(w\) is the weight,
`\(m\)` is the mass of the object, and
`\(g\)` is the acceleration due to gravity.

Given that the woman's weight is already provided as 500N, we can rearrange the formula to solve for mass:
`\(m = (w)/(g)\)`. Plugging in the values, with the acceleration due to gravity on Earth
`(\(g\))` being approximately
`\(9.8 \, \text{m/s}^2\)`, we find that her mass
`(\(m\)) is \(51.02 \, \text{kg}\).`

This result means that the woman has a mass of
`\(51.02 \, \text{kg}\)`, and her weight is
`\(500 \`,
`\text{N}\)`, both of which are characteristics affected by the gravitational force on Earth. It's essential to distinguish between mass and weight, where mass is a scalar quantity representing the amount of matter in an object, and weight is the force acting on it due to gravity.