1answer.
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
navik [9.2K]
3 years ago
11

A 4000 kg satellite is placed 2.60 x 10^6 m above the surface of the Earth.

Physics
1 answer:
mash [69]3 years ago
6 0

a) The acceleration of gravity is 4.96 m/s^2

b) The critical velocity is 6668 m/s (24,006 km/h)

c) The period of the orbit is 8452 s

d) The satellite completes 10.2 orbits per day

e) The escape velocity of the satellite is 9430 m/s

f) The escape velocity of the rocket is 11,191 m/s

Explanation:

a)

The acceleration of gravity for an object near a planet is given by

g=\frac{GM}{(R+h)^2}

where

G is the gravitational constant

M is the mass of the planet

R is the radius of the planet

h is the height above the surface

In this problem,

M=5.98\cdot 10^{24} kg (mass of the Earth)

R=6.37\cdot 10^6 m (Earth's radius)

h=2.60\cdot 10^6 m (altitude of the satellite)

Substituting,

g=\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24}}{(6.37\cdot 10^6 + 2.60\cdot 10^6)^2}=4.96 m/s^2

b)

The critical velocity for a satellite orbiting around a planet is given by

v=\sqrt{\frac{GM}{R+h}}

where we have again:

M=5.98\cdot 10^{24} kg (mass of the Earth)

R=6.37\cdot 10^6 m (Earth's radius)

h=2.60\cdot 10^6 m (altitude of the satellite)

Substituting,

v=\sqrt{\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24}}{(6.37\cdot 10^6 + 2.60\cdot 10^6)}}=6668 m/s

Converting into km/h,

v=6668 m/s \cdot \frac{3600 s/h}{1000 m/km}=24,006 km/h

c)

The period of the orbit is given by the circumference of the orbit divided by the velocity:

T=\frac{2\pi (R+h)}{v}

where

R=6.37\cdot 10^6 m

h=2.60\cdot 10^6 m

v = 6668 m/s

Substituting,

T=\frac{2\pi (6.37\cdot 10^6 + 2.60\cdot 10^6)}{6668}=8452 s

d)

One day consists of:

t = 24 \frac{hours}{day} \cdot 60 \frac{min}{hours} \cdot 60 \frac{s}{min}=86400 s

While the period of the orbit is

T = 8452 s

So, the number of orbits completed by the satellite in one day is

n=\frac{t}{T}=\frac{86400}{8452}=10.2

e)

The escape velocity for an object in the gravitational field of a planet is given by

v=\sqrt{\frac{2GM}{R+h}}

where here we have:

M=5.98\cdot 10^{24} kg

R=6.37\cdot 10^6 m

h=2.60\cdot 10^6 m

Substituting, we find

v=\sqrt{\frac{2(6.67\cdot 10^{-11})(5.98\cdot 10^{24}}{(6.37\cdot 10^6 + 2.60\cdot 10^6)}}=9430 m/s

f)

We can apply again the formula to find the escape velocity for the rocket:

v=\sqrt{\frac{2GM}{R+h}}

Where this time we have:

M=5.98\cdot 10^{24} kg

R=6.37\cdot 10^6 m

h=0, because the rocket is located at the Earth's surface, so its altitude is zero.

And substituting,

v=\sqrt{\frac{2(6.67\cdot 10^{-11})(5.98\cdot 10^{24}}{(6.37\cdot 10^6)}}=11,191 m/s

Learn more about gravitational force:

brainly.com/question/1724648

brainly.com/question/12785992

#LearnwithBrainly

You might be interested in
The map here shows land surface temperatures on earth during one month in 2015
Law Incorporation [45]

Latitude is the answer for apex.

8 0
3 years ago
Read 2 more answers
X-rays
Ksenya-84 [330]

Answer:

They all have the characteristic "energy" in common

Explanation:

Energy is power derived from the utilization of physical or chemical resources, especially to provide light / heat or to work machines. X-rays, UV Light Waves, Sound Waves, and Earthquake Waves all have energy.

6 0
3 years ago
Can anyone help me with this please​
Anastasy [175]

Answer:

1270 J

Explanation:

Recall that the mechanical energy of a system is the addition of the Potential energy and the Kinetic energy at any given time.

As the skier descends, potential energy is converted into kinetic energy, but the total mechanical energy should remain the same.

We see that it is not the case, so that difference is what has gone into thermal energy;  19500 J - 18230 J = 1270 J

7 0
3 years ago
What is the displacement of an object during a specific unit of time.
strojnjashka [21]

Answer:

velocity

Explanation:

the displacement of an object during a specific unit of time.

7 0
3 years ago
Galileo was a contemporary of
kvasek [131]

Answer:

Galileo Galilei was contemporary to Johannes Kepler. they worked together for a while.

4 0
3 years ago
Other questions:
  • In 1.71 minutes, a ski lift raises four skiers at constant speed to a height of 148 m. The average mass of each skier is 62.9 kg
    14·1 answer
  • Why do sea breezes occur during the day?
    8·2 answers
  • Jet fighter planes are launched from aircraft carriers with the aid of their own engines and a catapult. If in the process of be
    9·1 answer
  • You have a system of a positively and a negatively charged objects (+q and -9.) separated by distance d. (a) What is the sign of
    12·1 answer
  • Which one of the following types of microscope gives the highest amount of magnification?
    11·2 answers
  • The diffuser in a jet engine is designed to decrease the kinetic energy of the air entering the engine compressor without any wo
    10·1 answer
  • Each of four particles move along an x axis. Their coordinates (in meters) as functions of time(in seconds) are given byparticle
    6·2 answers
  • A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the blades have a tangential accel
    5·1 answer
  • A boy walks towards a stationary plane mirror at a speed of 12ms^1 what is the relative speed of approach of the boy and his ima
    12·1 answer
  • How often should muscle strengthening activities be performed?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!