The standard acceleration (at sea level and 45◦ latitude) due to gravity is 9.806 65 m/s2. what is the force needed to hold a mass of 2 kg at rest in this gravitational field? how much mass can a force of 1 n support?

19.613 N

0.10197 kg

Explanation:

m = Mass of object = 2 kg

a = Acceleration due to gravity = 9.8065 m/s²

Force

where

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

M = Mass of Earth = 5.972 × 10²⁴ kg

r = Radius of Earth =  6.3781×10⁶ m

⇒F = ma

⇒F = 2×9.8065

⇒F = 19.613 N

∴ Force needed to hold a mass at rest is 19.613 N.

Force = F = 1 N

F = ma

∴ 1 N can support 0.10197 kg of mass