CONCEPTUAL INTEGRATED SCIENCE (PEARSON+
3rd Edition
ISBN: 2818440059223
Author: Hewitt
Publisher: PEARSON+
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Chapter 5, Problem 75TE
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Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.4 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:
mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2
1.)What is the force of attraction between Mars and the satellite?
2.)What speed should the satellite have to be in a perfectly circular orbit?
3.)How much time does it take the satellite to complete one revolution?
The average distance separating Earth and the Moon (center to center) is 384,000 km. Use the data in the table to find the net gravitational force exerted by
Earth and the Moon on a 3.00 x 104-kg spaceship located halfway between them.
Useful Planetary Data
Body
Mass (kg)
Mean Radius (m) Period (s) Distance from Sun (m) T2/r³(s²/m³)
Mercury
3.18 x 1023
2.43 x 106
7.60 x 106
5.79 x 1010
2.97 x 10-19
Venus
4.88 x 1024
6.06 x 106
1.94 x 107
1.08 × 1011
2.99 x 10¬19
Earth
5.98 x 1024
6.37 x 106
3.16 x 107
1.50 x 1011
2.97 x 10¬19
Mars
6.42 x 1023
3.37 x 106
5.94 x 107
2.28 x 1011
2.98 x 10-19
Jupiter
1.90 x 1027
6.99 x 107
3.74 x 108
7.78 x 1011
2.97 x 10-19
Saturn
5.68 x 1026
5.85 x 107
9.35 x 108
1.43 x 1012
2.99 x 10-19
Uranus
8.68 x 1025
2.33 x 107
2.64 x 109
2.87 x 1012
10-19 א 2
Neptune 1.03 x 1026
2.21 x 107
5.22 x 109
4.50 x 1012
2.99 x 10-19
Pluto
~1.4 x 1022
~1.5 x 106
7.82 x 109
5.91 x 1012
2.96 x 10-19
Moon
7.36 x 1022
1.74 x 106
Sun
1.991 x 1030
6.96 x 108
The acceleration due to gravity on Venus is 0.89 that of Earth. a) If the radius of Venus is 6.05 x 106 m, what is Venus’ mass? b) How does this compare to Earth’s mass? c) If you were on a diet and had to “weigh in,” would you rather stand on a scale on Venus or on Earth in order to appear as if you had lost the most weight?
Chapter 5 Solutions
CONCEPTUAL INTEGRATED SCIENCE (PEARSON+
Ch. 5 - What connection did Newton make between a falling...Ch. 5 - What does it mean to say that something moving in...Ch. 5 - In what sense does the Moon fall?Ch. 5 - State Newtons law of gravitation in words. Then...Ch. 5 - How does the force of gravity between two bodies...Ch. 5 - How does the brightness of light on a surface...Ch. 5 - At what distance from Earth is the gravitational...Ch. 5 - What is the magnitude of gravitational force...Ch. 5 - What is the magnitude of the gravitational force...Ch. 5 - Would the springs inside a bathroom scale be more...
Ch. 5 - Answer the preceding questions for the case of an...Ch. 5 - When is your weight equal to mg?Ch. 5 - When is your weight greater than mg?Ch. 5 - When is your weight zero?Ch. 5 - When you whirl a can at the end of a string in a...Ch. 5 - How can weight be simulated in a space habitat?Ch. 5 - What exactly is a projectile?Ch. 5 - How much speed does a freely falling object gain...Ch. 5 - With no gravity, a horizontally moving projectile...Ch. 5 - A ball is batted upward at an angle. What happens...Ch. 5 - A projectile is launched at an angle of 75 above...Ch. 5 - A projectile is launched vertically at 30 m/s. If...Ch. 5 - What is the effect of air drag on the height and...Ch. 5 - Why will a projectile that moves horizontally at 8...Ch. 5 - Why is it important that the projectile in the...Ch. 5 - Is it correct to say that the planets of the solar...Ch. 5 - Why does the force of gravity on a satellite...Ch. 5 - Why does the speed of a satellite moving in a...Ch. 5 - In what location are the sense organs in humans...Ch. 5 - Speculate on how the vestibular system might be...Ch. 5 - Prob. 31TISCh. 5 - Why does spreading feet apart help a surfer stay...Ch. 5 - Where is the center of gravity of a donut?Ch. 5 - Prob. 34TISCh. 5 - Why cant you stand with your heels and back to a...Ch. 5 - What is the minimum speed for orbiting Earth in a...Ch. 5 - How was Pioneer10 able to escape the solar system...Ch. 5 - How does the escape speed from planet Jupiter...Ch. 5 - A space vehicle can outrun Earths gravity, but can...Ch. 5 - Using the formula for gravity, show that the force...Ch. 5 - Calculate the force of gravity on the same 1-kg...Ch. 5 - Calculate the force of gravity between Earth...Ch. 5 - Calculate the force of gravity between Earth and...Ch. 5 - The planet and its moon gravitationally attract...Ch. 5 - Rank the average gravitational forces from...Ch. 5 - Consider the light of multiple candle flames, each...Ch. 5 - A ball is thrown upward at the velocities and...Ch. 5 - Prob. 53TCCh. 5 - The positions of a satellite in elliptical orbit...Ch. 5 - If you stood atop a super-tall ladder three times...Ch. 5 - Find the change in the force of gravity between...Ch. 5 - Find the change in the force of gravity between...Ch. 5 - Find the change in the force of gravity between...Ch. 5 - Find the change in the force of gravity between...Ch. 5 - By what factor would your weight change if Earths...Ch. 5 - Find the change in the force of gravity between...Ch. 5 - Consider a bright point light source located 1 m...Ch. 5 - Calculate the force of gravity between Mars mass...Ch. 5 - Students in a lab roll a steel ball off the edge...Ch. 5 - Which is gravitationally attracted to Earth: an...Ch. 5 - How can the Moon fall toward Earth without getting...Ch. 5 - What would be the path of the Moon if somehow all...Ch. 5 - Is the force of gravity stronger on a piece of...Ch. 5 - Is the force of gravity on a piece of paper...Ch. 5 - What are the magnitude and direction of the...Ch. 5 - In what way does the constant G change a...Ch. 5 - Is gravitational force acting on a person who...Ch. 5 - How would the force change between a planet and...Ch. 5 - Phil works on the 15th floor of an office...Ch. 5 - Since 2013, Curiosity has been roving over the...Ch. 5 - Earth is not exactly a sphere but, rather, bulges...Ch. 5 - When Phil hangs from a single strand of rope,...Ch. 5 - If you were in a freely falling elevator and you...Ch. 5 - If Earth somehow expanded to a larger radius, with...Ch. 5 - What two forces act on you while you are in a...Ch. 5 - In what way does habitation in space alter the...Ch. 5 - Why is no work done by the centripetal force...Ch. 5 - What path would you follow if you fell off the...Ch. 5 - Chuck Stone releases a ball near the top of a...Ch. 5 - A heavy crate accidentally falls from a...Ch. 5 - How does the vertical component of motion for a...Ch. 5 - In the absence of air drag, why doesnt the...Ch. 5 - At what point in its trajectory does a batted...Ch. 5 - Each of two golfers hits a ball at the same speed,...Ch. 5 - How does air drag on a batted baseball affect the...Ch. 5 - Are the planets of the solar system simply...Ch. 5 - If you have ever watched the launching of an Earth...Ch. 5 - A satellite can orbit at 5km above the Moon but...Ch. 5 - Earths surface curves. It drops 5meters vertically...Ch. 5 - What is the shape of the orbit when the velocity...Ch. 5 - Prob. 96TECh. 5 - If a flight mechanic drops a box of tools from a...Ch. 5 - How could an astronaut in a space vehicle drop an...Ch. 5 - If you stopped an Earth satellite dead in its...Ch. 5 - At what point in Earths elliptical path about the...Ch. 5 - Earth is farthest away from the Sun in July and...Ch. 5 - A friend says that astronauts inside the...Ch. 5 - To begin your wingsuit flight, you step off the...Ch. 5 - Earth and the Moon are attracted to each other by...Ch. 5 - Why do passengers in high altitude jet planes feel...Ch. 5 - Since the Moon is gravitationally attracted to...Ch. 5 - Newton knew that if a cannonball were fired from a...Ch. 5 - A park ranger shoots a monkey hanging from a...Ch. 5 - The Moon falls toward Earth in the sense that it...Ch. 5 - The force of gravity between two planets depends...Ch. 5 - Inhabitants of the International Space Station are...Ch. 5 - A spacecraft on its way from Earth to the Moon is...Ch. 5 - If you tossed a baseball horizontally and with no...Ch. 5 - When no air resistance acts on a projectile, its...Ch. 5 - Without air resistance, a ball tossed at an angle...Ch. 5 - When you toss a projectile sideways, it curves as...Ch. 5 - A satellite in elliptical orbit about Earth...Ch. 5 - A satellite in Earths orbit is mainly above Earths...
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