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Gravitational Review

The document contains a series of physics problems related to gravitational forces, mass calculations, orbital mechanics, and gravitational potential energy. It includes specific questions about the gravitational force between electrons, the mass of the Earth, net forces on planets, escape velocity, and orbital periods of celestial bodies. Answers to the problems are provided at the end, including numerical values and units.

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3 views2 pages

Gravitational Review

The document contains a series of physics problems related to gravitational forces, mass calculations, orbital mechanics, and gravitational potential energy. It includes specific questions about the gravitational force between electrons, the mass of the Earth, net forces on planets, escape velocity, and orbital periods of celestial bodies. Answers to the problems are provided at the end, including numerical values and units.

Uploaded by

nguyentaianhkhoa114
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Physics 40S Gravitational Review

1. The gravitational force between two electrons 1.00 m apart is 5.42 x 104N. Find the mass of an
electron.

2. Using the fact that a 1.0 kg mass weighs 9.8 N on the surface of the Earth and the radius of the
Earth is roughly 6.4 x 10° m. Calculate the mass of the Earth.

3. Find the Net Force acting on planet B. (distances are provided from centre to centre)
54 x0 °m (8) 3
(A) 45 x 0° ig
18 x 0° 8 ly a"
42\x 0” m

(c) 23 x 0°lg

4, Find the location where the gravitational field strength equals zero.
(A) , 4500 km _

82000 kg 94000 kg

5. What is the Gravitational field strength located 3200 km from the surface of the planet Earth
OO.
(mass 5.98 x 10” kg, radius 6400 km)?

6. What is the Total Gravitational Potential Energy in the following system.


rress1 =5800 kg rress
2= 8200 kg
@ «<4 > 2

480 km &20kmn

Qe

Tress
3= 73200 kg

7. Two masses are at rest in the following arrangement. Mass 2 is released and begins to move
towards mass 1. What is the speed of mass 2 when they are 550 Km apart?
C) 975 Km C)

m, = 62500 kg m, = 41500 kg

8. a) What is the escape velocity for an object leaving the surface of Uranus?
(Uranus radius 25, 362 Km, mass of Uranus 8.66 x 107° kg)
b) What is the binding energy for one of Uranus’ 27 moons, Miranda, 6.6 x 107’ kg, orbiting at an
altitude of 129, 000 Km from the surface of Uranus?
9. Jupiter is 5.2 times farther than Earth is from the Sun. Find Jupiter’s orbital period in Earth
years.

10. Uranus requires 84 Earth years to circle the Sun. Find Uranus’ orbital radius as a multiple of
Earth’s orbital radius.

11. Venus has a period of revolution of 225 Earth days. Find the distance between the Sun and
Venus, as a multiple of Earth’s orbital radius.

12. If a small planet were located 8.0 times as far from the Sun as Earth, how many years would it
take the planet to orbit the Sun?

13. A satellite is placed in orbit with a radius that is half the radius of the moon’s orbit. Find its
period in units of the period of the moon.

14. Describe how the speed of a satellite must vary in order to follow Kepler’s second law.

15. Use dimensional analysis to show that the Gravitational Potential energy unit is the Joule.

Answers: 1. 9.01 x 10°? kg 2. 6.02 x 107* kg 3. 2.71x 10 N [E 63° S]


4. 2.17x10°m 5. 4.3 m/s? 6. 1.80x10°) 7. 2.58x10°m/s 8.A) 21, 342 m/s
B) 1.23 x 1077) 9. 11.858 Earth years 10. 19.2 times the Earth radius
11. 0.724 Radius of the Earth 12. 22.6Earthyears 13. 0.354 times the Moon’s period
14. Speed greater closer because of shorter distance (Equal areas for same amount of time)

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