Two 700-kg masses (1543 lb) are separated by a distance of 30 m. Using Newton's law of gravitation, find the magnitude of the gravitational force exerted by one mass on the other. (Use G = 6.67 x 10" N-m-/kg².) (Round the final answer to four decimal places.) The magnitude of the gravitational force exerted by one mass on the other is 3.631 x 10-9 N.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

Two 700-kg masses (1543 lb) are separated by a distance of 30 m. Using Newton's law of gravitation, find the magnitude of the gravitational force exerted by one mass on the other. (Use \( G = 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 \).) (Round the final answer to four decimal places.)

The magnitude of the gravitational force exerted by one mass on the other is \(\boxed{3.631 \times 10^{-9}}\) N.

**Explanation:**

Newton's law of gravitation states that the force \( F \) between two masses \( m_1 \) and \( m_2 \), separated by a distance \( r \), is given by:

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

Where:
- \( G \) is the gravitational constant, \( 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 \).
- \( m_1 \) and \( m_2 \) are the masses, each 700 kg.
- \( r \) is the separation distance, 30 m.

Substitute the given values into the equation to find the gravitational force.
Transcribed Image Text:**Problem Statement:** Two 700-kg masses (1543 lb) are separated by a distance of 30 m. Using Newton's law of gravitation, find the magnitude of the gravitational force exerted by one mass on the other. (Use \( G = 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 \).) (Round the final answer to four decimal places.) The magnitude of the gravitational force exerted by one mass on the other is \(\boxed{3.631 \times 10^{-9}}\) N. **Explanation:** Newton's law of gravitation states that the force \( F \) between two masses \( m_1 \) and \( m_2 \), separated by a distance \( r \), is given by: \[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \] Where: - \( G \) is the gravitational constant, \( 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 \). - \( m_1 \) and \( m_2 \) are the masses, each 700 kg. - \( r \) is the separation distance, 30 m. Substitute the given values into the equation to find the gravitational force.
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