Satellite experiencing certain gravitational force - problem

In summary, the conversation discusses the calculation of various parameters for a satellite in circular orbit around Earth, including the radius, speed, and period. The equations used include the gravitational force equation and the formula for centripetal force. The calculated values are 8150 km for the radius, 6995 m/s for the speed, and 7320 s for the period.
  • #1
MiniOreo1998
18
0

Homework Statement


A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around Earth.

A) Find the radius of the orbit

B) Find the speed of the satellite

C) Find the period of the orbit

I found this set of questions a bit trickier, although am still confident that I've used each equation properly.

Any suggestions are more than welcome!

Homework Equations


Fg - G m1 m2 / r2

The Attempt at a Solution


A)

r = √ G m1 m2 / r2
r = √ (6.67 x 10-11) (5.98 x 1024 (500) / 3000 = 8.15 x 106
r = 8150 km

B)

Fc 3000 N = m v2 / r
3000 N = (500) V2 (8.14 x 106) / 8.15 x 106
v = √ (6.67 x 10-11) (5.98 x 1024) / 8.15 x 106
v = 6995 m/s

C)

v = 2πr/v
T = 2 π (8.15 x 106) / 6995
T = 7320 s (2 hours 2 minutes)
 
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  • #2
It is correct, do you have any questions?
 

1. What is the cause of the satellite experiencing a certain gravitational force?

The satellite is experiencing a gravitational force due to the presence of a massive object, such as a planet or moon, in its vicinity. This force is a result of the objects' masses and the distance between them, as described by Newton's law of universal gravitation.

2. How does the strength of the gravitational force change as the satellite moves?

The strength of the gravitational force on the satellite depends on its distance from the massive object. As the satellite moves closer to the object, the force increases, and as it moves farther away, the force decreases. This relationship is described by the inverse-square law.

3. Can the gravitational force affect the motion of the satellite?

Yes, the gravitational force can affect the motion of the satellite. The force acts as a centripetal force, keeping the satellite in its orbit around the object. It also affects the speed and trajectory of the satellite's motion.

4. How can the gravitational force on the satellite be calculated?

The gravitational force on the satellite can be calculated using the equation F = (G*m1*m2)/r^2, where G is the gravitational constant, m1 and m2 are the masses of the satellite and the massive object, and r is the distance between them.

5. What factors can affect the strength of the gravitational force on the satellite?

The strength of the gravitational force on the satellite can be affected by the masses of the objects involved, the distance between them, and any intervening objects that may affect the gravitational field, such as other planets or moons. The gravitational force can also be affected by the presence of other forces, such as atmospheric drag or solar wind, which can alter the trajectory of the satellite's motion.

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