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.
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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefd1da3f-cb32-49f3-8aa7-bea0cbc5b54f%2F19f006f9-82ec-4163-a61b-01447f705a66%2Ffrse8vb_processed.jpeg&w=3840&q=75)
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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