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
8_murik_8 [283]
3 years ago
9

If a 1000-pound capsule weighs only 165 pounds on the moon, how much work is done in propelling this capsule out of the moon's g

ravitational field?
Physics
1 answer:
Bas_tet [7]3 years ago
7 0

Answer:

  W = 1,307 10⁶ J

Explanation:

Work is the product of force by distance, in this case it is the force of gravitational attraction between the moon (M) and the capsule (m₁)

              F = G m₁ M / r²

              W = ∫ F. dr

              W = G m₁ M ∫ dr / r²

we integrate

             W = G m₁ M (-1 / r)

                 

We evaluate between the limits, lower r = R_ Moon and r = ∞

           W = -G m₁ M (1 /∞ - 1 / R_moon)

            W = G m1 M / r_moon

Body weight is

             W = mg

             m = W / g

The mass is constant, so we can find it with the initial data

For the capsule

            m = 1000/32 = 165 / g_moon

            g_moom = 165 32/1000

            .g_moon = 5.28 ft / s²

I think it is easier to follow the exercise in SI system  

           W_capsule = 1000 pound (1 kg / 2.20 pounds)

           W_capsule = 454 N

           W = m_capsule g

           m_capsule = W / g

           m = 454 /9.8

           m_capsule = 46,327 kg

Let's calculate

          W = 6.67 10⁻¹¹ 46,327   7.36 10²² / 1.74 10⁶

          W = 1,307 10⁶ J

You might be interested in
How condensation affects the temperature of the area where liquids forms
NISA [10]
Condensation does not effect the temperature of the area, condensation is the product the temperature difference between an object and the area it is in
7 0
3 years ago
What is the inverse square law and how does it relate to gravity?
Nesterboy [21]

Answer:

Inverse Square Law Newton proposed the Inverse Square Law. The effect of gravity (and also on forces such as sunlight) works like this. If say we have a half-mass Earth, it would produce a gravity of not half but a quarter (the square of 2).

7 0
4 years ago
A 20 N unbalanced force causes an object to accelerate at 1.5 m/s2. What is the mass of the object?
kicyunya [14]

As per Newton's II law we know that

F = ma

here we know that

F = 20 N

a = 1.5 m/s^2

now the mass of the object will be given as

m = \frac{F}{a}

m = \frac{20}{1.5}

m = 13.3 kg

so mass of the object will be 13.3 kg

4 0
3 years ago
Why isn’t our constitution ( and our country) in a constant state of adjustment and readjustment
madam [21]

The constitution and the country aren't in a constant state of adjustment and readjustment because it has strong and logical ideological bases that encompass most of society's issues over time.

The constitution was written on a democratic ideological basis inspired by the European Enlightenment revolution of thought. These principles have contributed to the construction of American social logic.

Therefore, the constitution and the country have not needed major readjustments or adjustments since their creation because the country has been built on solid and well-defined ideological bases that are projected into the future with a social logic.

Learn more in: brainly.com/question/14453917

4 0
3 years ago
2O POINTS!!!! PLEASE HELP!!! I don't understand!! How does earths magnetic field work? PLEASE EXPLAIN!!!! Also help understandin
fenix001 [56]
The magnetic field is a field of magnetism that is in constant contact with everything and it is stronger at the poles of the earth. compasses point towards magnetic north which is a few miles away from true North. refrigerator magnets are much much stronger then the magnetic field so that is why they stick to metal. I do not know what the domain theory is.
3 0
3 years ago
Other questions:
  • A person in bare feet is standing under a tree during a thunderstorm, seeking shelter from the rain. A lightning strike hits the
    15·1 answer
  • Your portable phone's 12V battery is dead. It's a holiday and all the stores are closed. You do have two 1.5V batteries from you
    15·2 answers
  • Estimate the average force that a baseball pitcher's hand exerts on a 0.145-kg baseball as he throws a 40-m/s pitch. Assume the
    12·2 answers
  • The weather is warm and dry.<br><br> Which change would a cold front bring?
    10·2 answers
  • A hot ball of gas in outer space that creates its own energy is called a _____.
    8·1 answer
  • Can you die if you bust a hemorrhoid?
    13·2 answers
  • Which of the following activities will most likely help Anthony manage his stress levels
    10·1 answer
  • The combined gas law relates which of the following?
    9·1 answer
  • At the time of the founding of the country, most Americans worked as
    14·2 answers
  • How do you find the voltage of a section of a parallel circuit?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!