A satellite (mass=900 kg) orbits Earth (mass=6.0 x 1024 kg). If the satellite is 3.55 z 10° m away from the center of Earth, what is the gravitational force between Earth and the satellite? O 1.5 z 1021 N O 4.3 z 1014 N O 28, 580 N O 31.8 N
A satellite (mass=900 kg) orbits Earth (mass=6.0 x 1024 kg). If the satellite is 3.55 z 10° m away from the center of Earth, what is the gravitational force between Earth and the satellite? O 1.5 z 1021 N O 4.3 z 1014 N O 28, 580 N O 31.8 N
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![### Physics Problem: Gravitational Force Calculation
A satellite (mass = 900 kg) orbits Earth (mass = \(6.0 \times 10^{24}\) kg). If the satellite is \(3.55 \times 10^6\) meters away from the center of Earth, what is the gravitational force between Earth and the satellite?
**Multiple Choice Options:**
- \(1.5 \times 10^{21}\) N
- \(4.3 \times 10^{14}\) N
- 28,580 N
- 31.8 N
**Explanation of Answer Choices:**
In this problem, we are using the formula for gravitational force:
\[ F = \frac{{G \cdot m_1 \cdot m_2}}{{r^2}} \]
Where:
- \( F \) is the gravitational force,
- \( G \) is the gravitational constant (\(6.674 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\)),
- \( m_1 \) is the mass of the Earth (\(6.0 \times 10^{24}\) kg),
- \( m_2 \) is the mass of the satellite (900 kg),
- \( r \) is the distance between the center of the Earth and the satellite (\(3.55 \times 10^6\) m).
Using this formula, the gravitational force can be calculated, and the correct answer can be determined from the given options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9fb32d1-3317-4767-a0fa-42a0fecf2dcd%2Ff594b562-7a47-4093-9831-ab78e121e31d%2Fb23sp8_processed.png&w=3840&q=75)
Transcribed Image Text:### Physics Problem: Gravitational Force Calculation
A satellite (mass = 900 kg) orbits Earth (mass = \(6.0 \times 10^{24}\) kg). If the satellite is \(3.55 \times 10^6\) meters away from the center of Earth, what is the gravitational force between Earth and the satellite?
**Multiple Choice Options:**
- \(1.5 \times 10^{21}\) N
- \(4.3 \times 10^{14}\) N
- 28,580 N
- 31.8 N
**Explanation of Answer Choices:**
In this problem, we are using the formula for gravitational force:
\[ F = \frac{{G \cdot m_1 \cdot m_2}}{{r^2}} \]
Where:
- \( F \) is the gravitational force,
- \( G \) is the gravitational constant (\(6.674 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\)),
- \( m_1 \) is the mass of the Earth (\(6.0 \times 10^{24}\) kg),
- \( m_2 \) is the mass of the satellite (900 kg),
- \( r \) is the distance between the center of the Earth and the satellite (\(3.55 \times 10^6\) m).
Using this formula, the gravitational force can be calculated, and the correct answer can be determined from the given options.
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