Question

You land on an alien planet. While in orbit, you see that the radius is 4075 km. While on the surface, you drop a rock (from rest) from a height of 1.50 m above the surface and you observe that the rock takes 0.734 s to reach the ground.

What is the mass of the planet?

What is the average density of this planet? (Assume the planet
is spherical. The volume of a sphere is ￼ V = 4 3 π r 3)

What do you name this new planet?

Answer #1

A spacecraft is in orbit around a planet. The radius of the
orbit is 2.9 times the radius of the planet (which is R = 71451
km). The gravitational field at the surface of the planet is 21
N/kg. What is the period of the spacecraft's orbit?

An artificial satellite is in a circular orbit around a planet
of radius r = 2.25 × 103 km at a distance d = 380.0 km
from the planet\'s surface. The period of revolution of the
satellite around the planet is T = 1.15 hours. What is the average
density of the planet?

In order to measure the mass of an alien planet, imagine you put
a spacecraft moving in a circular orbit of radius 400000 km around
this planet. You happen to be located in the plane of the
spacecraft's orbit. You find that the spacecraft's radio signal
varies periodically in wavelength between 4.99979 mm and 5.00021 mm
.
Assuming that the radio is broadcasting normally, at a constant
wavelength, what is the mass of the planet?

The small spherical planet called "Glob" has a mass of
7.56×1018 kg and a radius of 6.44×104 m. An
astronaut on the surface of Glob throws a rock straight up. The
rock reaches a maximum height of 1.36×103 m, above the
surface of the planet, before it falls back down. What was the
initial speed of the rock as it left the astronaut's hand? (Glob
has no atmosphere, so no energy is lost to air friction. G =
6.67×10-11 Nm2/kg2.)...

Imagine you crash land your spacecraft on an unknown planet. The
planet looks similar to earth, but you are not sure. To give you a
hint on whether you are on earth or not, you drop a ball of mass
76.5 g from the top your spaceship. The height of the spaceship is
60 ft. The ball takes 2.5 s to reach the ground. Determine if you
are on earth. If your weight on earth is 180 lbf, what is...

a)The small spherical planet called "Glob" has a mass of
8.42×1018 kg and a radius of 6.41×104 m. An astronaut on the
surface of Glob throws a rock straight up. The rock reaches a
maximum height of 1.96×103 m, above the surface of the planet,
before it falls back down. What was the initial speed of the rock
as it left the astronaut's hand? (Glob has no atmosphere, so no
energy is lost to air friction. G = 6.67×10-11 Nm2/kg2.)...

Mercury has a radius of 2440 km. A satellite is in circular orbit
around Mercury. It travels at a distance of 124 km above the
surface and its period of rotation is 1 hour 31.5 minutes.
a) Estimate the Mass of Mercury. State which formula(s) you
applied and why.
b) Estimate Mercury's mean density. You can assume a spherical
planet.
c) Compare your answer to the mean density of Earth. Why is it
larger/smaller?

1) The small spherical planet called "Glob" has a mass of
7.72×1018 kg and a radius of 6.17×104 m. An
astronaut on the surface of Glob throws a rock straight up. The
rock reaches a maximum height of 2.04×103 m, above the
surface of the planet, before it falls back down. What was the
initial speed of the rock as it left the astronaut's hand? (Glob
has no atmosphere, so no energy is lost to air friction. G =
6.67×10-11...

As an astronaut, you observe a small planet to be spherical.
After landing on the planet, you set off, walking always straight
ahead, and find yourself returning to your spacecraft from the
opposite side after completing a lap of 25.2 km. You hold a hammer
and a falcon feather at a height of 1.49 m, release them, and
observe that they fall together to the surface in 28.8 s. Determine
the mass of the planet.

Upon landing on an alien planet which lacks an atmosphere, you
perform an experiment designed to determine the acceleration due to
gravity.
A small but powerful cannon fires a ball directly upwards from
ground level with the ball leaving the cannon with a speed of 37.5
m/s.
The ball is measured to reach a maximum height of 311.0 m.
(11.1) What is the acceleration due to gravity on this planet
?
(11.2) How much time elapses between the ball leaving...

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