Chapter 13: Problem 23
Decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all these have definitive answers, so your explanation is more important than your chosen answer. If the Sun suddenly became a \(1 M_{\text {Sun }}\) black hole, Earth's tides would become much greater.
Short Answer
Step by step solution
Understanding the Concept of Black Holes
Earth's Tides Explained
Effect of the Sun Becoming a Black Hole
Evaluating the Tidal Effects
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Black Holes
Gravitational Force
- Gravitational force equation: \( F = G \frac{m_1 \, m_2}{r^2} \)
- Where:
- \( F \) is the gravitational force between two masses.
- \( G \) is the gravitational constant.
- \( m_1 \) and \( m_2 \) are the masses.
- \( r \) is the distance between the centers of the two masses.
Tides
- The relative positions of the Earth, Moon, and Sun.
- Gravitational pull from both celestial bodies.
Mass and Gravity
- Mass of the Sun: Drives the Earth's orbit and contributes to tidal forces impacting Earth.
- Mass of the Earth: Creates its gravitational field which influences objects on and around it.