Question

a) In 2017, NASA announced the discovery of seven planets with sizes similar to the Earth orbiting a red dwarf star 40 light years away. Based on the data in the table shown, what is the acceleration due to gravity on planet g?

(B) Use the orbital data for planet g and Kepler's 3rd Law to find the mass of the star these planets orbit. Give your answer relative to the Sun's mass. For example, if the star were 1/2 the mass of the Sun, enter 0.5.

(C)An artificial satellite circles the Earth in a circular orbit
at a location where the acceleration due to gravity is 8.5
m/s^{2}. Find the orbital period of the satellite in
hours.

(D) At the Earth's surface, a projectile is launched straight up
at a speed of 7500 m/s. What is its maximum height in kilometers? g
is definitely not a constant 9.8 m/s^{2}. Use R = 6,370,000
m for the radius of the Earth.

Answer #1

Few years ago, on February 22, 2017, NASA announced
that seven newly identified planets (Trappist-1) orbiting a nearby
dwarf star offer a realistic chance to seek signs of life beyond
the solar system.
These stars are around 39 light years away.
A low-cost way of sending spacecraft to these planets
would be to use the radiation pressure on a square solar sail. The
intensity of the sun’s electromagnetic radiation at such distances
is about 3000 W/m2. Assume that the solar...

1. During a solar eclipse, the Moon, Earth, and Sun all lie on
the same line, with the Moon between the Earth and the Sun.
(a) What force is exerted by the Sun on the Moon?
_____ N
(b) What force is exerted by the Earth on the Moon?
_____N
(c) What force is exerted by the Sun on the Earth?
_____N
2. An artificial satellite circles the Earth in a circular orbit
at a location where the acceleration due...

A satellite is in a circular orbit around the Earth at an
altitude of 3.32 106 m. (a) Find the period of the orbit. (Hint:
Modify Kepler's third law so it is suitable for objects orbiting
the Earth rather than the Sun. The radius of the Earth is 6.38 106
m, and the mass of the Earth is 5.98 1024 kg.) h (b) Find the speed
of the satellite. km/s (c) Find the acceleration of the satellite.
m/s2 toward the...

A satellite is in a circular orbit around the Earth at an
altitude of 3.84 106 m.
(a) Find the period of the orbit. (Hint: Modify
Kepler's third law so it is suitable for objects orbiting the Earth
rather than the Sun. The radius of the Earth is
6.38 106 m, and the mass of the Earth is
5.98 1024 kg.)
h
(b) Find the speed of the satellite.
km/s
(c) Find the acceleration of the satellite.
m/s2 toward the center of the...

14. Consider an artificial Satellite whose PERIGEE (closest
point to Earth) is 3000 miles above the Earth’s surface and whose
APOGEE (farthest point to Earth) is 4200 miles above the surface.
If we compare the satellite with Moon’s that is 239,000 miles far
from the Earth and its time period is 27.3 days. Find the time
period of the Satellite?
Note: Radius of Earth is 3960 miles and average distance
is
R = (Rmax + Rmin) / 2
15. If...

A satellite is in a circular orbit around the Earth at an
altitude of 1.66 106 m. (a) Find the period of the orbit (in hrs).
(Hint: Modify Kepler's third law: T2 = (4π2/GMS)r3 so it is
suitable for objects orbiting the Earth rather than the Sun. The
radius of the Earth is 6.38 106 m, and the mass of the Earth is
5.98 1024 kg.) (b) Find the speed of the satellite (in km/s). (c)
Find the acceleration of...

A satellite circles the earth in an orbit whose radius is 3.14
times the earth's radius. The earth's mass is 5.98 x
1024 kg, and its radius is 6.38 x 106 m. What
is the period of the satellite?
Two newly discovered planets follow circular orbits around a
star in a distant part of the galaxy. The orbital speeds of the
planets are determined to be 44.6 km/s and 59.9 km/s. The slower
planet's orbital period is 8.88 years. (a)...

The existence of the dwarf planet Pluto was proposed based on
irregularities in Neptune's orbit. Pluto was subsequently
discovered near its predicted position. But it now appears that the
discovery was fortuitous, because Pluto is small and the
irregularities in Neptune's orbit were not well known. To
illustrate that Pluto has a minor effect on the orbit of Neptune
compared with the closest planet to Neptune, answer the following
questions.
(a) Calculate the acceleration (in m/s2) due to
gravity at...

A computer is reading data from a rotating CD-ROM. At a point
that is 0.0208 m from the center of the disk, the centripetal
acceleration is 132 m/s2. What is the centripetal
acceleration at a point that is 0.0600 m from the center of the
disc?
A computer is reading data from a rotating CD-ROM. At a point
that is 0.0208 m from the center of the disk, the centripetal
acceleration is 132 m/s2. What is the centripetal
acceleration at...

1. Consider a satellite which is in orbit around the
earth. Which of the following statements is
true?
a. The satellite and the earth experience the same force of
gravitational attraction.
b. The satellite and the earth experience the same
acceleration.
c. The satellite experiences a stronger gravitational force than
the earth.
d. The gravitational force acting on the satellite (which is in
outer space) is zero.
e. Only the satellite experiences a gravitational force, and not
the earth.
2....

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