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 3RCQ
State Newton’s law of universal gravitation in words. Then express it in one equation.
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You may have an image of Sir Isaac Newton sitting under a tree and after being hit on the head by an apple he suddenly "discovered" the Law of Universal Gravitation. In fact, the theory was a result of years’ worth of research, which in turn was based on centuries of accumulated knowledge. He is credited with determining that the following relationship is universal. The gravitational attraction between two objects varies jointly with their masses (m1 and m2) and inversely with the square of the distance (d) between them. By what percent does the force of gravitational attraction change if one mass is increased by 20%, the other mass decreased by 20%, and the separation is reduced by 25%?
give an example of how important the newtons law on universal gravitation in our daily life.explain
Combining the circular motion with Newton’s Universal Gravitation Law, we have the following formula: ?=√???, rearrange this formula and calculate the mass of Mars in kilograms rounded to 2 significant figures considering the values for the circular speed and distance of 2.14.103 m/s.
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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- According to Keplers first law, planets move in elliptical orbits. Why is that considered accelerated motion? According to Newton, what is the force causing that acceleration?arrow_forwardAccording to the National Academy of Sciences, the Earths surface temperature has risen about 1F since 1900. There is evidence that this climate change may be due to human activity. The organizers of World Jump Day argue that if the Earth were in a slightly larger orbit, we could avoid global warming and climate change. They propose that we move the Earth into this new orbit by jumping. The idea is to get people in a particular time zone to jump together. The hope is to have 600 million people jump in a 24-hour period. Lets see if it will work. Consider the Earth and its inhabitants to make up the system. a. Estimate the number of people in your time zone. Assume they all decide to jump at the same time; estimate the total mass of the jumpers. b. What is the net external force on the Earthjumpers system? c. Assume the jumpers use high-tech Flybar pogo sticks (Fig. P8.32), which allow them to jump 6 ft. What is the displacement of the Earth as a result of their jump? d. What happens to the Earth when the jumpers land?arrow_forwardCalculate the mass of the Sun based on data for average Earth’s orbit and compare the value obtained with the Sun’s commonly listed value of 1.9891030kg .arrow_forward
- In the law of universal gravitation, Newton assumed that the force was proportional to the product of the two masses (m1m2) . While all scientific conjectures must be experimentally verified, can you provided arguments as to why this must be? (You may wish to consider simple examples in which any other form would lead to contradictory results.)arrow_forwardIf a planet were to slowly migrate inward toward the Sun while remaining in a stable orbit, would its orbital speed increase, decrease, or stay the same? Would its angular momentum change? Which of Keplers laws or Newtons version of Keplers laws does this scenario describe?arrow_forwardIf a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period be?arrow_forward
- What was the great insight Newton had regarding Earth’s gravity that allowed him to develop the universal law of gravitation?arrow_forwardnewtons first law states that objects with more mass have stronger tendencies to maintain their original motion. Yet our centripetal force equation suggests that all masses will maintain a steady orbit provided that their tangenitial speed, v, is the correct match for their orbital radius, r. Provide a physical argument that explains why objects with larger inertias (masses) do not fly off. Is there something that counters this increase in inertia?arrow_forwardNewton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its weight at a distance x from the center of the earth is W(x) : wR? (for x > R), where R = 3960 miles is the radius of the earth. Estimate the weight loss per mile of altitude gained for a 205-lb pilot at an altitude of h. (Use decimal notation. Give your answer to five decimal places.)arrow_forward
- The mass of planet X is 6.4 x 1023 kg and the aceleration of gravity on its surface is 3.7 m/s², if the gravitational constant G = 6.67 x 10-11 N.m²/kg², the radius of this planet R is a) 3.40 x 106 m c) 4.03 x 106 m e) 1.15 x 1013 m b) 2.98 x 106 m d) 7.56 x 106 m.arrow_forwardThe radius of the Earth is about 6,000 km. My weight on the surface of the Earth is 950 N. At 15,000 km my weight would be?arrow_forwardWhich of the following statements is INCORRECT about the Law of Universal Gravitation? The gravitational force exerted by Earth on any object increases with the square of the object's distance from Earth's center. Henry Cavendish was the first to measure the value of universal gravitational constant, G. The magnitude of the due to gravity must be proportional to the masses of the two objects. Any object in the universe that has mass can exert a gravitational force on another object.arrow_forward
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