Question

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Write an equation represents f

Answer 1

The force of gravity on an object is given by the equation F = mg, where F represents the gravitational force or weight, m is the mass of the object, and g is the acceleration due to gravity, which is 32.2 ft/s².

Step-by-step explanation:

The force of gravity on an object can indeed be represented by the equation F = mg, where F is the force due to gravity (also known as weight), m is the mass of the object, and g is the acceleration due to gravity. Given that the constant of variation for gravity, often referred to as g, is 32.2 feet per second squared (which is approximately equal to 9.8 meters per second squared if using SI units), the equation represents the relationship between an object's mass and the force of gravity acting upon it. For example, if an object has a mass of m, its weight (or the force due to gravity) on Earth where g = 32.2 ft/s² will be F = m × 32.2 ft/s².

Answer 2

The force F = m g

Step-by-step explanation:

The gravitational force of attraction on the object can be found by the relation

F = G M m/R²

here G is the gravitational constant

M is the mass of earth

and R is the radius of earth

All these terms remains constant , therefore the force varies with the mass of body i.e. m

This constant term i.e GM/R² is represent by g , acceleration due to gravity

Thus Force F = m g