Conceptual Physical Science (6th Edition)
6th Edition
ISBN: 9780134060491
Author: Paul G. Hewitt, John A. Suchocki, Leslie A. Hewitt
Publisher: PEARSON
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Chapter 4, Problem 124DQ
As part of their training before going into orbit, astronauts experience weightlessness when riding in an airplane that is flown along the same parabolic trajectory as a freely falling projectile. A classmate says that gravitational forces on everything inside the plane during this maneuver cancel to zero. Another classmate looks to you for confirmation. What is your response?
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A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.02 × 104 m/s. The mass of the planet is M = 5.94 × 1024 kg. The mass of the satellite is m = 4.7 × 103 kg.
Enter an expression for the magnitude of the gravitional force F in terms of M,R,m and the gravitional constant G.
Enter an expression for the radius in terms of G,M and R.
Enter an expression for the gravational potetial energy PE in terms of G,M,m and R.
Enter an expresssion for the centripal acceleration of the satellite ac in terms of the speed of the satellite v, and r.
Let's say that I want gravitational force Fg = 1.00 N. what combination of m1, m2, and r will give that?
Hints: There are many possible answers, you just need to find one. To avoid trial and error, you can pick values for m2 and r (distance) then use Newton’s law of gravity to find the m1 value giving Fg = 1 N.
Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will
counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth.
Can this ever happen? Let's look at the numbers.
What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.)
What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.)
By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth?
Part 1 of 5
The gravitational force between two masses is given by
-GMm
r²
where G = 6.67 x 10-11 m³/s²/kg.
FgE
Part 2 of 5
We can use this expression to determine the magnitude of the gravitational force you feel while on the…
Chapter 4 Solutions
Conceptual Physical Science (6th Edition)
Ch. 4 - What did Newton discover about gravity?Ch. 4 - In what sense does the Moon fall?Ch. 4 - State Newtons law of universal gravitation in...Ch. 4 - What is the magnitude of gravitational force...Ch. 4 - What is the magnitude of the gravitational force...Ch. 4 - How does the force of gravity between two bodies...Ch. 4 - Prob. 7RCQCh. 4 - Would the springs inside a bathroom scale be more...Ch. 4 - Would the springs inside a bathroom scale be more...Ch. 4 - Explain why occupants of the international Space...
Ch. 4 - Under what conditions is your weight equal to mg?Ch. 4 - What was the cause of perturbations discovered in...Ch. 4 - The perturbations of Uranus led to what greater...Ch. 4 - What is the status of Pluto in the family of...Ch. 4 - Which is thought to be more prevalent in the...Ch. 4 - A stone is thrown upward at an angle. Neglecting...Ch. 4 - A stone is thrown upward at an angle. Neglecting...Ch. 4 - A projectile is launched upward at an angle of 75...Ch. 4 - A projectile is launched vertically at 100 m/s. If...Ch. 4 - What connection does Earth's curvature have with...Ch. 4 - Why is it important that a satellite remain above...Ch. 4 - When a satellite is above Earths atmosphere, is it...Ch. 4 - If a satellite were beyond Earths gravity, what...Ch. 4 - Why doesnt the force of gravity change the speed...Ch. 4 - Why doesnt the force of gravity change the speed...Ch. 4 - Is the period longer or shorter for orbits of...Ch. 4 - Why does the force of gravity change the speed of...Ch. 4 - Prob. 28RCQCh. 4 - Prob. 29RCQCh. 4 - A space vehicle can outrun Earth's gravity, but...Ch. 4 - F=Gm1m2d2 Using the formula for gravity, show that...Ch. 4 - F=Gm1m2d2 Calculate the force of gravity on the...Ch. 4 - F=Gm1m2d2 Show that the average force of gravity...Ch. 4 - F=Gm1m2d2 Show that the force of gravity between...Ch. 4 - F=Gm1m2d2 Show that the force of gravity between a...Ch. 4 - F=Gm1m2d2 Calculate the force of gravity between a...Ch. 4 - Suppose you stood atop a ladder that was so tall...Ch. 4 - Show that the gravitational force between two...Ch. 4 - Show that there is no change in the force of...Ch. 4 - Find the change in the force of gravity between...Ch. 4 - Consider a pair of planets in which the distance...Ch. 4 - Many people mistakenly believe that the astronauts...Ch. 4 - Newtons universal law of gravity tells us that...Ch. 4 - An airplane is flying horizontally with speed 1000...Ch. 4 - A ball is thrown horizontally from a cliff at a...Ch. 4 - A satellite at a particular point along an...Ch. 4 - A rock thrown horizontally from a bridge hits the...Ch. 4 - A baseball is tossed at a steep angle into the air...Ch. 4 - A penny on its side moving at speed v slides off...Ch. 4 - Students in a lab measure the speed of a steel...Ch. 4 - The planet and its moon gravitationally attract...Ch. 4 - Consider the light of multiple candle flames, each...Ch. 4 - Rank, from greatest to least, the average...Ch. 4 - A ball is tossed off the edge of a cliff with the...Ch. 4 - The dashed lines show three circular orbits about...Ch. 4 - The positions of a satellite in elliptical orbit...Ch. 4 - What would be the path of the Moon if somehow all...Ch. 4 - Is the gravitational force greater on a 1-kg piece...Ch. 4 - Consider a space pod somewhere between Earth and...Ch. 4 - An astronaut lands on a planet that has the same...Ch. 4 - An astronaut lands on a planet that has the same...Ch. 4 - If Earth somehow expanded to a larger radius, with...Ch. 4 - How would the force between a planet and its moon...Ch. 4 - Phil work on the 15th floor of an office building,...Ch. 4 - In 2013, Curiosity landed on the surface of Mars....Ch. 4 - Earth is not exactly a sphere but, rather, bulges...Ch. 4 - A small light source located 1 m in front of a...Ch. 4 - Prob. 73ECh. 4 - Why do the passengers in high-altitude jet planes...Ch. 4 - To begin your wingsuit flight, you step off the...Ch. 4 - In synchronized diving, divers remain in the air...Ch. 4 - What two forces act on you while you are in a...Ch. 4 - If you were in a freely falling elevator and you...Ch. 4 - In the 2014 Rosetta mission, a probe from Earth...Ch. 4 - How does the size of Pluto compare with that of...Ch. 4 - Elements beyond the naturally occurring elements...Ch. 4 - Earth and the Moon are gravitationally attracted...Ch. 4 - Chuck Stone releases a ball near the top of a...Ch. 4 - In the absence of air resistance, why does the...Ch. 4 - At what point in its trajectory does a batted...Ch. 4 - A heavy crate accidentally falls from a...Ch. 4 - Two golfers each hit a ball at the same speed, but...Ch. 4 - When you jump upward, your hang time is the time...Ch. 4 - The hang time of a basketball player who jumps a...Ch. 4 - If youve had the good fortune to witness the...Ch. 4 - Newton knew that if a cannonball were fired from a...Ch. 4 - Satellites are normally seat into orbit by firing...Ch. 4 - Hawaii presents the most efficient launching site...Ch. 4 - Does the speed of a falling object depend on its...Ch. 4 - Prob. 95ECh. 4 - What is the shape of the orbit when the velocity...Ch. 4 - If a flight mechanic drops a box of tools from a...Ch. 4 - How could an astronaut in a space vehicle drop an...Ch. 4 - If you stopped an Earth satellite dead in its...Ch. 4 - Prob. 100ECh. 4 - At what point in Earths elliptical orbit about the...Ch. 4 - The force of gravity on an Earth satellite in...Ch. 4 - Earth is farthest away from the Sun in July and...Ch. 4 - In the 2014 Rosetta mission, when a probe from...Ch. 4 - An object tossed vertically will reach a maximum...Ch. 4 - Comment on whether or not the following label on a...Ch. 4 - Newton tells us that gravitational force acts on...Ch. 4 - "Okay," a friend says, "gravitational force is...Ch. 4 - An apple falls because of its gravitational...Ch. 4 - Jupiter is more than 300 times as massive as...Ch. 4 - When will the gravitational force between you and...Ch. 4 - Explain why the following reasoning is wrong. "The...Ch. 4 - Some people dismiss the validity of scientific...Ch. 4 - Shruti Kumar projects a ball at an angle of 30...Ch. 4 - A friend claims that bullets fired by some...Ch. 4 - A park ranger shoots a monkey hanging from a...Ch. 4 - Which requires more fuel: a rocket going from...Ch. 4 - Two facts: A freely falling object at Earth's...Ch. 4 - A new member of your discussion group says that,...Ch. 4 - A friend says that astronauts inside the...Ch. 4 - Another new member of your discussion group says...Ch. 4 - Occupants inside future donut-shaped rotating...Ch. 4 - A satellite can orbit at 5 km above the Moon's...Ch. 4 - As part of their training before going into orbit,...Ch. 4 - Prob. 125DQCh. 4 - A communications satellite with a 24-h period...Ch. 4 - This situation should elicit good discussion: In...Ch. 4 - (Here's a Chapter 2-type question): When the brake...Ch. 4 - (Here's a Chapter 4-type question): The first...Ch. 4 - Here's a situation to challenge you and your...Ch. 4 - Choose the BEST way to complete the statement. 1....Ch. 4 - The force of gravity between two planets depends...Ch. 4 - Inhabitants of the International Space Station ate...Ch. 4 - A spacecraft on its way from Earth to the Moon is...Ch. 4 - Theoretically, a baseball tossed horizontally in a...Ch. 4 - When no air resistance acts on a projectile, its...Ch. 4 - Without air resistance, a ball tossed at an angle...Ch. 4 - When you toss a projectile sideways, it curves as...Ch. 4 - A satellite in elliptical orbit about Earth...Ch. 4 - A satellite in Earth orbit is mainly above Earth's...
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