answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuri [45]
2 years ago
4

A satellite moves in a circular orbit around the earth at a speed of 6.9 km/s. determine the satellite's altitude above the surf

ace of the earth. assume the earth is a homogeneous sphere of radius 6370 km and mass 5.98 × 1024 kg. the value of the universal gravitational constant is 6.67259 × 10−11 n · m2 /kg2 . answer in units of km.
Physics
1 answer:
jenyasd209 [6]2 years ago
4 0
Given: Velocity of satellite Vsat = 6.9 Km/s convert to m/s  Vsat = 6900 m/s

            Radius of Earth re = 6,370 Km;   Mass of Earth Me = 5.98 x 10²⁴ Kg

            Universal Gravitational constant G = 6.67 x 10⁻¹¹ N.m²/Kg²

Required: Altitude of satellite r = ?

Formulas. F = ma;     a = V²/r       F = GMeMsat/r²

Equate for "r " from the three equations

GMeMsat/r² = MsatV²/r

r = GMe/V²

r = (6.67 x 10⁻¹¹ N.m²/Kg²)(5.98 x 10²⁴ Kg)/6,900 m/s)²

r = 8,379,537.82 m or 8,379.53 Km

Deduct the the radius of our planet to find the altitude of the satellite

r = rsat - re 

r = 8, 379.59 Km - 6,370 Km

r = 2009.59 km or

r = 2010 Km altitude above the earth.



You might be interested in
When the wind kicks up dust and sand, the dust grains are charged. The small grains tend to get a negative charge, and the large
diamong [38]

Answer:

Explanation:

Small grains are negatively charged by the wind while big grains is positively charged and remains at the ground . This process creates an electric field due to the presence of oppositely charged particles.

When ever electric field exists it is directed from a positive charge to a negative charge so the here electric field is towards an upwards direction.                  

4 0
2 years ago
A superhero swings a magic hammer over her head in a horizontal plane. The end of the hammer moves around a circular path of rad
Korolek [52]

Answer:

9.21954 m/s

54 m/s²

Angle is zero

Explanation:

r = Radius of arm = 1.5 m

\omega = Angular velocity = 6 rad/s

The horizontal component of speed is given by

v_h=\omega r\\\Rightarrow v_h=6\times 1.5\\\Rightarrow v_h=9\ m/s

The vertical component of speed is given by

v_v=2\ m/s

The resultant of the two components will give us the velocity of hammer with respect to the ground

v=\sqrt{v_h^2+v_v^2}\\\Rightarrow v=\sqrt{9^2+2^2}\\\Rightarrow v=9.21954\ m/s

The velocity of hammer relative to the ground is 9.21954 m/s

Acceleration in the vertical component is zero

Net acceleration is given by

a_n=a_h=\omega^2r\\\Rightarrow a_n=6^2\times 1.5\\\Rightarrow a_n=54\ m/s^2

Net acceleration is 54 m/s²

As the acceleration is towards the center the angle is zero.

3 0
2 years ago
A man takes 20 seconds to climb 5m up a ladder. He weighs 720N. Calculate the power he must deliver to do this.
muminat

Answer:

Power = 180 Watt.

Explanation:

W = Work done = m x g x H.

m = mass of the body.

g = acceleration due to gravity = 9.8 m/s^2.

W = weight of the body = m x g = 720 N.

H = height of the body = 5 m.

t = Time = 20 s.

Plugging the above values in the formula we get:

W = 720 x 5 = 3600 J.

Power = \frac{W}{t}

           = \frac{3600}{20} = 180 Watt.

Therefore the required value of power = 180 Watt.

5 0
2 years ago
When you float an ice cube in water, you notice that 90% of it is submerged beneath the surface. Now suppose you put the same ic
Temka [501]

Answer:

The variation is inversely proportional to the decrease density

Explanation:

This is an exercise where we will use the Archimedes principle that states that the thrust is equal to the weight of the dislodged liquid

         B = m g

         ρf = m / Vf

         m = ρf Vf

         B = ρf Vf g

If we use Newton's second law for equilibrium

          B - W = 0

          B = m g

          ρ Vf g = ρb Vb g

          ρb / ρf = Vf / Vb               (1)

Let's apply this expression to our case

In water

           Vf / Vg = 0.90

replace in equation 1

           ρb / ρf = 0.90

           ρb = ρf 0.90

           ρb = 1000 0.90

           ρb = 900 kg / m3

Now we change the liquid to one with lower density, let's calculate the volume ratio

           Vf / Vg = ρb / ρf

The density of the body (ρb) remains constant if the density of the fluid decreases, as in the denominator the volume fraction increases, whereby the submerged part decreases

The variation is inversely proportional to the decrease density

4 0
2 years ago
Real world trampolines lose energy since they are damped springs with much internal friction. How much energy does the sumo wres
mote1985 [20]

The answer to the first question is that, the sumo wrestler loses energy equal to the absorbed energy of the trampoline plus the air friction drag loss. With the second question, the gymnast should maintain energy equal to the Potential energy gymnast has at the peak of bounce height by exerting little force to compensate for the energy spent on the internal friction of the trampolines action.

6 0
2 years ago
Other questions:
  • somewhere between the earth and the moon is a point where the gravitational attraction of the earth is canceled by the gravitati
    14·1 answer
  • Stu wanted to calculate the resistance of a light bulb connected to a 4.0 V battery, with a resulting current of 0.5 A. He used
    15·2 answers
  • Explain how scientists know that elephants and hyraxes are related. Be sure to include anatomical similarities as well as fossil
    7·2 answers
  • Which magnetic property best describes a magnet’s ability to act at a distance? Magnets are dipolar. Magnets attract only certai
    14·2 answers
  • The Bohr model of the hydrogen atom pictures the electron as a tiny particle moving in a circular orbit about a stationary proto
    6·1 answer
  • The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of the speed s of the boat. A b
    15·1 answer
  • The air in a pipe resonates at 150 Hz and 750 Hz, one of these resonances being the fundamental. If the pipe is open at both end
    6·1 answer
  • Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal conductivity k = 50 W/m · K and
    7·1 answer
  • A point charge Q = -400 nC and two unknown point charges, q1 and q2, are placed as shown. Point charge q1 is located 1.3 meters
    15·1 answer
  • Two resistors ( 3 ohms & 6 ohms) in a series circuit with a power supply = 12 volts. The current through resistor 6 ohms is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!