Question

What is the orbital velocity of the Moon?

What is the gravitational potential energy of the moon due to its position relative to the Earth?

What is the gravitational field at the surface of the Sun?

Is the mass of an object needed to be known in order to find it's orbital velocity? (Just yes/no pls)

Answer #1

Using the formula U = − Gm1m2 r for the gravitational potential
object between two objects, calculate the velocity needed to escape
an object’s gravitational field. That is to say that a rocket has
enough initial velocity v at the object’s surface so that its
kinetic energy completely cancels out the gravitational potential
energy

The distance between the center of the moon and the center of
the earth is is 4.0*10^6 m. The moon is also regarded as a point
mass situated at its center. The orbit period of the moon about the
earth is 2.4*10^6s.
(a) Calculate the orbital speed of the moon?
(b) Using your answer above and what you know about energy.
Calculate the value of the Gravitational potential due to earth at
a distance of 4.0*10^9m from its center.

QUESTION 1
Part 1
Engineers wish to launch a satellite from the surface of the
Moon. What is the minimum speed the satellite must have to escape
the Moon’s gravity – that is, what is the escape velocity at the
surface of the Moon? The Moon has a mass of 7.3x10^22 kg and a
radius of 1.7x10^6 m.
a.
1700 m/s
b.
5.7x10^6 m/s
c.
It depends on the mass of the satellite.
d.
2400 m/s
Part 2
The satellite...

1)The highest ocean tides occur when
Earth and the Moon are
Lined up with the Sun
At right angles to the Sun
At any angle to the Sun
Lined up during spring
2)A satellite in Earth orbit is above Earth’s
Atmosphere
Gravitational field
Both
Neither
3)What happens to the force of gravity between two objects when
their masses are EACH doubled and the distance between them is also
doubled.
The force doubles
The force is reduced to ½
The force...

To learn to use conservation of energy with the Newtonian form
for gravitational potential energy. Planet X, a planet with no
atmosphere, has a radius of 5.00×106 m and an unknown mass. You
drop an object from rest from a distance of 400 km above the
surface and find that it has a speed of 3010 m/s just before it
hits the ground.
Solve for the mass of planet X.

The moon is an Earth satellite of mass 9.35 x 1022
kg, whose average distance from the centre of Earth is 4.85 x
108 m.
What is the gravitational potential energy of the moon with
respect to Earth?
What is the kinetic energy and the velocity of the moon in
Earth's orbit?
What is the binding energy of the moon to Earth?
What is the total mechanical energy of the moon in its
orbit?

In order better to map the surface features of the Moon, a 393
kg imaging satellite is put into circular orbit around the Moon at
an altitude of 149 km. Calculate the satellite's kinetic energy,
gravitational potential energy, and total orbital energy. The
radius and mass of the Moon are 1740 km and 7.36×1022 kg.

n order better to map the surface features of the Moon, a 311 kg
imaging satellite is put into circular orbit around the Moon at an
altitude of 133 km. Calculate the satellite's kinetic energy,
gravitational potential energy, and total orbital energy. The
radius and mass of the Moon are 1740 km and 7.36×1022 kg.

How much gravitational potential energy must a 3140-kg satellite
acquire in order to attain a geosynchronous orbit?
The answer to the above question is 1.67x10^11 J.
How much kinetic energy must it gain? Note that because of the
rotation of the Earth on its axis, the satellite had a velocity of
467 m/s relative to the center of the Earth just before launch.
Doing a 1/2mv^2 doesn't get the correct answer. The law of
conservation of energy would state that...

Part A
How much gravitational potential energy must a 3200-kg satellite
acquire in order to attain a geosynchronous orbit?
Express your answer to three significant figures and include
appropriate units.
Answer : (Value) (Units)
Part B
How much kinetic energy must it gain? Note that because of the
rotation of the Earth on its axis, the satellite had a velocity of
469 m/s relative to the center of the Earth just before
launch.
Express your answer to three significant figures...

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