Hello!
Recall the period of an orbit is how long it takes the satellite to make a complete orbit around the earth. Essentially, this is the same as 'time' in the distance = speed * time equation. For an orbit, we can define these quantities:
← The circumference of the orbit
speed = orbital speed, we will solve for this later
time = period
Therefore:
Where 'r' is the orbital radius of the satellite.
First, let's solve for 'v' assuming a uniform orbit using the equation:
G = Gravitational Constant (6.67 × 10⁻¹¹ Nm²/kg²)
m = mass of the earth (5.98 × 10²⁴ kg)
r = radius of orbit (1.276 × 10⁷ m)
Plug in the givens:
Now, we can solve for the period:
Answer:
The speed after being pulled is 2.4123m/s
Explanation:
The work realize by the tension and the friction is equal to the change in the kinetic energy, so:
(1)
Where:
Because the work made by any force is equal to the multiplication of the force, the displacement and the cosine of the angle between them.
Additionally, the kinetic energy is equal to 
, so if the initial velocity 
is equal to zero, the initial kinetic energy 
is equal to zero.
Then, replacing the values on the equation and solving for 
, we get:
So, the speed after being pulled 3.2m is 2.4123 m/s
Gravitational force is given by, 
Where, m and M are the masses of the objects, R is the distance between them and G gravitational constant.
Gravitational force of the star on planet 1, 
Gravitational force of the star on planet 2, 
Ratio, 
Therefore, the gravitational force of the star on the planet 1 is three times that on planet 2.
Answer:
The hottest temperature is 
Explanation:
From the question we are given
Generally converting 
to Fahrenheit
=> 
=> 
Converting 
to Fahrenheit
=> 
=> 
Now comparing the temperature in Fahrenheit we see that is the hottest
