Force Formula With Mass And Distance

Force Formula:

\[ F = G \times \frac{m_1 \times m_2}{r^2} \]

Mass 1 (m₁):

Mass 2 (m₂):

Distance (r):

Gravitational Constant (G):

N m²/kg²

Force (F):

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1. What is the Force Formula With Mass And Distance?

Definition: This calculator computes the gravitational force between two masses using Newton's law of universal gravitation.

Purpose: It helps physics students and professionals calculate the attractive force between two objects based on their masses and distance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = G \times \frac{m_1 \times m_2}{r^2} \]

Where:

\( F \) — Gravitational force (Newtons, N)
\( G \) — Gravitational constant (6.67 × 10⁻¹¹ N m²/kg²)
\( m_1 \) — Mass of first object (kilograms, kg)
\( m_2 \) — Mass of second object (kilograms, kg)
\( r \) — Distance between centers of masses (meters, m)

Explanation: The force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

3. Importance of Gravitational Force Calculation

Details: Understanding gravitational forces is crucial for astronomy, space exploration, satellite technology, and fundamental physics research.

4. Using the Calculator

Tips: Enter both masses in kilograms, distance in meters, and the gravitational constant (default 6.67×10⁻¹¹ N m²/kg²). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the gravitational constant (G)?
A: It's a fundamental physical constant that determines the strength of gravity in Newton's law of gravitation (6.67×10⁻¹¹ N m²/kg²).

Q2: Why is distance squared in the formula?
A: Gravity follows an inverse-square law, meaning its strength decreases with the square of the distance between objects.

Q3: Can this formula be used for any two objects?
A: Yes, but the force becomes negligible for small masses and is only significant for astronomical objects like planets and stars.

Q4: How accurate is this calculation?
A: It's accurate for classical physics, but for extreme conditions (near black holes or at near-light speeds), Einstein's general relativity is needed.

Q5: Why is the calculated force usually so small?
A: Because G is extremely small (6.67×10⁻¹¹), so significant force only occurs with very large masses (like planets).