Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 2, Problem 1ETY
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Vector F₁ = 625 N makes an angle of 2700 when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 1200 angle from Vector F1 when rotated
counterclockwise. What is the direction of the vector needed to balance the two forces?
O 170°
O-31⁰
0 00
O-32⁰
O 166⁰
O-180°
O 270⁰
O 186⁰
Problem 4. Express the resultant of the two forces shown:
(a.) in Cartesian form, and
(b.) in terms of a magnitude and coordinate direction angles
F; = 125 N
20
60
45
60
F = 400 N
The astroid belt of our solar system is located between the orbits of Mars and Jupiter. An astronomer is studying an interesting asteroid and has determined that one orbit around the Sun takes it 2.83 years.
How far is the asteroid from the Sun?
The following constants may be helpful.
Earth's distance from the Sun = 1 AU = 1.5 x 1011 m
MSun = 2.0 x 1030 kg
G = 6.67 x 10-11 N m2 / kg2
1 year = 3.15 x 105 s
A)1.5 AU (2.25 x 1011 m)
B) 2.0 AU (3.00 x 1011 m)
C) 2.5 AU (3.75 x 1011 m)
D) 3.2 AU (4.80 x 1011 m)
E) 4.8 AU (7.20 x 1011 m)
Chapter 2 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 2 - (2.1) List some observational evidence that Earth...Ch. 2 - (2.1) What is meant by the phrase angular...Ch. 2 - Prob. 3QFRCh. 2 - Prob. 4QFRCh. 2 - Where on the celestial sphere would you look for...Ch. 2 - Sketch the path on the sky that a planet makes...Ch. 2 - Will a planet in retrograde motion rise in the...Ch. 2 - Contrast the geocentric and heliocentric models.Ch. 2 - What are the three laws of planetary motion?Ch. 2 - How does astrology differ from astronomy?
Ch. 2 - Describe the major astronomical contribution(s) of...Ch. 2 - (2.1) Explain why the Moons angular size is...Ch. 2 - (2.1) Suppose the stars were very much closer than...Ch. 2 - (2.2/2.3) Tycho argued that the Sun orbits Earth...Ch. 2 - Prob. 4TQCh. 2 - Prob. 5TQCh. 2 - You may have noticed that although every 10 years...Ch. 2 - Describe how modern astrophysics differs from...Ch. 2 - Prob. 8TQCh. 2 - A small probe is exploring a spherical asteroid....Ch. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Suppose a planet is found with an orbital period...Ch. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Suppose that future observations with a new...Ch. 2 - Prob. 1TYCh. 2 - A planet in retrograde motion (a) rises in the...Ch. 2 - Ockhams razor refers to (a) a device used by the...Ch. 2 - Prob. 4TYCh. 2 - Prob. 5TYCh. 2 - Galileo used his observations of the changing...Ch. 2 - A major objection to the heliocentric model not...Ch. 2 - Do we see the same constellations today as ancient...Ch. 2 - What are right ascension and declination?Ch. 2 - Prob. 3EQFRCh. 2 - Prob. 4EQFRCh. 2 - Prob. 5EQFRCh. 2 - Prob. 6EQFRCh. 2 - Prob. 7EQFRCh. 2 - Prob. 8EQFRCh. 2 - Prob. 9EQFRCh. 2 - Prob. 10EQFRCh. 2 - Prob. 1ETQCh. 2 - Prob. 2ETQCh. 2 - Considering the orbits in figure E1.8, where would...Ch. 2 - Prob. 4ETQCh. 2 - Prob. 1ETYCh. 2 - As a star rises and moves across the sky, which of...Ch. 2 - Prob. 3ETYCh. 2 - Prob. 4ETYCh. 2 - Prob. 5ETYCh. 2 - Prob. 6ETYCh. 2 - Prob. 7ETY
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- A new planet named Vulcan has been discovered. Vulcan is a rather large planet with a radius twice that of Earth and a mass three times that of Earth. An astronaut has a mass of 60.0 kg and weighs about 132 lbs. on Earth. If the astronaut is on the planet Vulcan, what is her weight? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 metersarrow_forwardThe magnitudes of the forces as shown in the figure are: F_1 = 80.0N, F_2 = 60.0N and F_3 = 40.0N. a) Determine the components of the force, b) the resultant force acting on the particle, and c) the direction of the resultant force.arrow_forward52-54. Ganymede, one of Jupiter's moons, is the largest moon in our solar system. It has a mass of 1.48 × 1023 kg and a radius of 2.63 × 10 m. A 15.0 kg lunar rover is on Ganymede's surface. 52. How much does the rover weigh? a) 31.0 N b) 28.6 N c) 26.2 N d) 23.8 N e) 21.4 N 53. The rover is launched upward with an initial speed of 1100 m/s. What maximum altitude (distance above the surface) does it reach? a) 355 km b) 405 km c) 455 km d) 505 km e) 555 km 54. The rover is finally placed into elliptical orbit about Ganymede. The closest distance from the rover's orbit to Ganymede's center is 3.00 x 10 m and the furthest distance is 4.00 x 106 m. What is the orbital period? a) 12,100 s b) 13,100 s c) 14,100 S d) 15,100 S e) 16,100 sarrow_forward
- Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and gg are the accelerations due to gravity at their surfaces, respectively. If MA = Mg, and RA = 2RB The ratio (g,/gB) is: %3D %3D А. 1 В. 2 C. 4 D. 0.5 E. 0.25arrow_forwardGiven the spatial force system, determine the resultant force and the angles they make with the corresponding axis. F, = 2400 N 4im F = 4800 N F, = 3200N; 2 m 8 m 2 m 4 m: 4 m 6 marrow_forwardAs shown in the attached figure below, three force vectors act on an object. The magnitudes of the forces are F1= 80.0 N, F2 = 60.0 N, and F3 = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by A. 40.0 N at an angle 60.0° below +x-axis B. 60.0 N at an angle 90.0° above +x-axis C. 20.0 N at an angle 34.3° below +x-axis D. 180 N at an angle 60.0° below +x-axis E. 35.5 N at an angle 34.3° above +x-axisarrow_forward
- How far above the surface of the earth would you have to be before your weight is reduced by 14.02%arrow_forwardThree coplanar forces pull from a certain mechanism. The forces have the following magnitude and direction: 80N, 0° horizontally to the right 110N, 60° from the 80N force 60N, 225° from the 80N force. Find graphically the magnitude and direction of the resultant.arrow_forwardDetermine the magnitude F and direction 0 (measured clockwise from the positive y-axis which is downward in this case) that will cause the resultant R of the four applied forces to be directed to the right with a magnitude of 11 kN. 14.6 KN Answers: F= 0= 21% i 9.5 KN 1 F y KN O 10.5 KNarrow_forward
- Determine the magnitude F and direction 8 (measured clockwise from the positive y-axis which is downward in this case) that will cause the resultant R of the four applied forces to be directed to the right with a magnitude of 7.7 kN. 13.0 KN 15.1 KN 8.7 KN Answers: F- H 39 39⁰ kNarrow_forwardAn object weighs 432 N on the surface of the earth. The earth has radius R. If the object is raised to a height of 3R above the earth's surface, what is its weight?arrow_forwardTwo dogs are pulling on a weird-shaped twig of a tree in different directions. The first dog pulls with force F; = (10.0î – 20. 4j)N , the second dog pulls with force F2 = (-15.0î – 6. 5j)N . What is the angle between forces F, and F2?arrow_forward
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