Earth's gravity force on the astronaut is about 530 N
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Further explanation
Let's recall the Gravitational Force formula:
\(\boxed {F = G\ \frac{m_1 m_2}{R^2}}\)
where:
F = Gravitational Force ( N )
G = Gravitational Constant ( = 6.67 × 10⁻¹¹ Nm²/kg² )
m = mass of object ( kg )
R = distance between object ( m )
Let us now tackle the problem!
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Given:
mass of astronaut = m = 65 kg
radius of Earth = R = 6400 km
mass of Earth = M = 6 × 10²⁴ kg
position height of the satellite = h = 600 km
orbit radius of the satellite = R + h = 7000 km = 7 × 10⁶ m
Asked:
gravity force = F = ?
Solution:
\(F = G \frac{ M m } { ( R + h )^2 }\)
\(F = 6.67 \times 10^{-11} \times \frac { 6 \times 10^{24} \times 65 } { (7 \times 10^6)^2 }\)
\(F \approx 530 \texttt{ N}\)
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Learn more
- Unit of G : https://brainly.com/question/1724648
- Velocity of Runner : https://brainly.com/question/3813437
- Kinetic Energy : https://brainly.com/question/692781
- Acceleration : https://brainly.com/question/2283922
- The Speed of Car : https://brainly.com/question/568302
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Answer details
Grade: High School
Subject: Mathematics
Chapter: Gravitational Force
