Question

The weight of an object is the force generated by Earth's gravity accelerating the object's ______.

Answer 1

mass

Explanation:

From the universal law of gravity

`F=G(Mm)/(r^2)`

Where

G = Gravitational constant = 6.674×10⁻¹¹ m³/kg⋅s²

M = Mass of Earth = 5.972×10²⁴ kg

r = Radius of Earth = 6.371×10⁶ m

`\\\Rightarrow ma=G(Mm)/(r^2)\\\Rightarrow a=G(M)/(r^2)\\\Rightarrow a=6.674* 10^(-11)(5.972* 10^(24))/((6.371* 10^6)^2)\\\Rightarrow a=9.81\ m/s^2`

So the force of gravity acting on the mass of an object is

W = m×9.81

∴ Weight of an object is the product of mass and acceleration due to gravity