The orbital speed of Earth about the Sun is 2.93×104 m/s and its distance from the Sun is 1.49×1011 m. The mass of Earth is 5.98×1024 kg and that of the Sun is 1.99×1030 kg. What is the magnitude of the force exerted by the Sun on Earth?
Question
The orbital speed of Earth about the Sun is 2.93×104 m/s and its distance from the Sun is 1.49×1011 m. The mass of Earth is 5.98×1024 kg and that of the Sun is 1.99×1030 kg. What is the magnitude of the force exerted by the Sun on Earth?
Solution
The force exerted by the Sun on the Earth can be calculated using Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
where:
- F is the force between the masses,
- G is the gravitational constant,
- m1 and m2 are the two masses (in this case, the mass of the Earth and the Sun), and
- r is the distance between the centers of the two masses.
Given:
- G = 6.674 * 10^-11 N(m/kg)^2,
- m1 (mass of the Earth) = 5.98 * 10^24 kg,
- m2 (mass of the Sun) = 1.99 * 10^30 kg, and
- r (distance between the Earth and the Sun) = 1.49 * 10^11 m,
we can substitute these values into the formula:
F = (6.674 * 10^-11 N(m/kg)^2) * [(5.98 * 10^24 kg) * (1.99 * 10^30 kg)] / (1.49 * 10^11 m)^2
After calculating the above expression, we find that the force exerted by the Sun on the Earth is approximately 3.52 * 10^22 N.
Similar Questions
What is the magnitude of the gravitational force between the earth and the sun, given that the distance between their centres is 1.5 x 10^11 m?*1 point3.6 x 10^19 N3.6 x 10^20 N3.6 x 10^21 N3.6 x 10^22 N
What is the gravitational field force between the sun and mars if their masses are 1.9891 × 10% kg and 6.39 × 10* kg and the distance between them is 210.66 x 10* m?
Newton was holding an apple of mass 273 g and thinking about the gravitational forces exerted on the apple by himself and by the Sun. Calculate the magnitude of the gravitational force acting on the apple due to the Sun. (You may enter your calculation using scientific notation.) (Take the mass of the Sun to be 1.99 × 1030 kg1.99 × 1030 kg and the distance from the Sun to be 149.6 × 109 m149.6 × 109 m .)
Light from the Sun travels to the Earth at a speed of 3.0 × 108 m / s.The time for the complete journey is 500 s.What is the average orbital speed of the Earth in its orbit around the Sun?A 60 m / sB 4.8 × 10 3 m / sC 3.0 × 104 m / sD 1.8 × 106 m /
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 10 24 kg and radius of the earth is 6.4 × 10 6 m)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.