Planet-X has a mass of 4.74×1024 kg and a radius of 5870 km. The First Cosmic Speed i.e. the speed of a satellite on a low lying
1 answer:
10,378.82 m/s is the second cosmic speed.
69,801 km is the radius of the synchronous orbit of a satellite.
Given
Mass of planet = 4.74 × kg
Radius of planet = 5870 km = 5870000m
First Cosmic speed = 7.34 km/sec
1) Second cosmic speed i.e. the minimum speed required for a satellite to break free permanently from the planet is also known as the escape velocity of a satellite.
It can be calculated by
v = √2GM/r where,
v= Escape velocity of the satellite
G = Gravitational constant
M = Mass of planet
r = Radius of planet
v = √[( 2 x 6.67 x 10⁻¹¹ x 4.74 x 10²⁴) / (5870 x 10³)]
v = 10,378.82 m/s
2) Speed of the satellite at the given period
v = 2πr/T where,
T= Time period of rotation = 16.6 × 3600 seconds
r = v×T/2π
r = (7,338.93 x 16.6 x 3600 s) / (2π)
r = 69,801 km
Hence
The <u>Second Cosmic Speed</u> i.e. the minimum speed required for a satellite to break free permanently from the planet is 10,378.82 m/s.
And the radius of the synchronous orbit of a satellite is 69,801 km.
Learn more about cosmic speed here brainly.com/question/15351190
#SPJ1
You might be interested in
Answer:
a)
b)
Explanation:
In order to solve this problem we must first do a drawing of the situation and a free body diagram. (Check attached picture).
After a close look at the diagram and the problem we can see that the crate will have a constant velocity. This means there will be no acceleration to the crate so the sum of the forces must be equal to zero according to Newton's third law. So we can build a sum of forces in both x and y-direction. Let's start with the analysis of the forces in the y-direction:
We can see there are three forces acting in the y-direction, the weight of the crate, the normal force and the force in the y-direction, so our sum of forces is:
When solving for the normal force we get:
we know that
W=mg
and
so after substituting we get that
N=F sin θ +mg
We also know that the kinetic friction is defined to be:
so we can find the kinetic friction by substituting for N, so we get:
Now we can find the sum of forces in x:
so after analyzing the diagram we can build our sum of forces to be:
we know that:
so we can substitute the equations we already have in the sum of forces on x so we get:
so now we can solve for the force, we start by distributing so we get:
we add to both sides so we get:
Nos we factor F so we get:
and now we divide both sides of the equation into so we get:
which is our answer to part a.
Now, for part b, we will have the exact same free body diagram, with the difference that the friction coefficient we will use for this part will be the static friction coefficient, so by following the same procedure we followed on the previous problem we get the equations:
and
F cos θ = f
when substituting one into the other we get:
which can be solved for the static friction coefficient so we get:
which is the answer to part b.
Answer:
<u><em>3.721 m/s</em></u>
This is the explanation of the ans
