Question

A stone resting on the ground has a gravitational force of 20 N acting on it. What is the weight of the stone? What is its mass? ($g=10\text{ }m{{s}^{-2}}$).

Answer 1

Hint:The weight of an item is defined as the force exerted on it by gravity in science and engineering. The gravitational force exerted on the item is defined as a vector quantity in certain mainstream textbooks. Others describe weight as a scalar quantity, the gravitational force's magnitude. Others describe it as the amount of the reaction force a body experiences as a result of processes that counteract gravity's effects. We use this concept here.

Complete step by step solution:
The acceleration of an item in free fall within a vacuum is known as gravitational acceleration in physics (and thus without experiencing drag). This is the gradual increase in speed induced only by gravitational pull. All bodies accelerate in vacuum at the same rate at a particular place on the Earth's surface, regardless of their mass or composition; gravimetry is the measurement and study of these speeds.
Weight is defined as the force imposed on a body by gravity, according to the most popular definition given in basic physics textbooks. This is commonly written as $W=mg$, where W is the weight, m is the object's mass, and g is the gravitational acceleration.
So, Weight of the stone = Gravitational force acting on it = 20 N
Weight, $W=mg$
\[20\text{ }=\text{ }m\text{ }\times \text{ }10\]
\[\Rightarrow m\text{ }=\text{ }2\text{ }kg\]

Note:
The actual value of g is $9.8m{{s}^{-2}}$but that is not used here since an alternative is mentioned in the question. The degree of accuracy necessary for a specific task determines the sort of gravity model employed for the Earth. Weight is measured in newtons, which are units of force in the International System of Units (SI).