Question

The force of gravity, F, exerted between two objects is equal to the product of the gravitational constant, G, the mass of the first object, m1, and the mass of the second object, m2, divided by the square of the distance between their centers, d. This is often used to determine the gravitational attraction between two massive bodies, such as planets, in space. Rewrite the original formula to solve for one of the mass values.

Answer 1

The gravitational force between two objects can be reworked to solve for one mass, resulting in the formula m = Fd²/(GM), using the known gravitational constant G and known values for F, d, and M.

Step-by-step explanation:

The force of gravity F between two objects can be defined by the equation: F = GmM/d², where G is the gravitational constant, m and M are the masses of the objects, and d is the distance between the centers of the two objects. To solve for one of the masses, say m, you would rearrange the formula to m = Fd²/(GM).

This allows you to calculate the mass m if you know the gravitational force F, the distance d, the mass M, and the gravitational constant G.

The universal gravitational constant G has a measured value of 6.673 × 10⁻¹¹ Nm²/kg². This formula is crucial for understanding the gravitational attraction between two bodies, whether they are planets or other massive celestial objects.

The formula to calculate the force of gravity between two objects is F = Gm₁m₂/d². To solve for one of the mass values, we can rearrange the formula as m₂ = (F * d²) / (G * m₁). This equation allows us to find the mass of the second object when the force of gravity, the distance between the objects, the mass of the first object, and the gravitational constant are known.

Answer 2

The formula to calculate the force of gravity between two objects can be rearranged to solve for one of the mass values.

Step-by-step explanation:

Gravity is a force which tries to pull two objects toward each other. Anything which has mass also has a gravitational pull. The more massive an object is, the stronger its gravitational pull is. Earth's gravity is what keeps you on the ground and what causes objects to fall.

Gravity, also called gravitation, is a force that exists among all material objects in the universe. For any two objects or particles having nonzero mass, the force of gravity tends to attract them toward each other. Gravity operates on objects of all sizes, from subatomic particles to clusters of galaxies.

The formula to calculate the force of gravity, F, between two objects can be rewritten to solve for one of the mass values. The formula is:

F = G · m1 · m2 / d2

To solve for m1 or m2, we can rearrange the formula:

m1 = F · d2 / (G · m2)

or

m2 = F · d2 / (G · m1)