CONCEPTUAL INTEGRATED SCIENCE (PEARSON+
3rd Edition
ISBN: 2818440059223
Author: Hewitt
Publisher: PEARSON+
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Textbook Question
Chapter 5, Problem 106TDI
Since the Moon is gravitationally attracted to Earth, why doesn’t it simply crash into Earth?
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Since the Moon is gravitationally attracted to earth, why doesn't it simply crash into Earth?
Since the moon is constantly attracted toward the earth by the gravitational interaction, why doesn’t it crash into the earth?
Assume that an enough large asteroid (m = 30,000 kg) coming from the deep space (out of our
galaxy so assume at infinity) with a velocity 15 km/s travels through our solar system. When it
approaches the Earth, the scientists say that it would be attracted by the Earth and then would
impact her. So we would like to research the impact of the asteroid if it hits to our planet. (The Earth
radius: RE = 6.4x10° m, and the Earth mass: MĘ = 6.0x104 kg.)
a) Write expressions for the initial mechanical energy of the asteroid and the final mechanical
energy of the asteroid as it reaches the earth's surface. Do not plug in numbers for this first
step.
b) What would be the kinetic energy of the asteroid as it reaches the earth?
c) What would be the speed of the asteroid as it reaches the earth?
d) Now, assume that the asteroid makes a totally inelastic collision with the Earth, i.e., the
asteroid embeds itself in the earth's surface. Find the final velocity of the earth, assuming it
was at rest…
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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- A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forwardIt was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?arrow_forward
- As friction with our atmosphere causes a satellite to spiral inward, closer to Earth, its orbital speed increases. Why?arrow_forwardEstimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.arrow_forwardIo, a satellite of Jupiter, has an orbital period of 1.77 days and an orbital radius of 4.22 105 km. From these data, determine the mass of Jupiter.arrow_forward
- A satellite in the shape of a sphere of mass 20,000 kg and radius 5.0 m is spinning about an axis through its center of mass. It has a rotation rate of 8.0 rev/s. Two antennas deploy in the plane of rotation extending from the center of mass of the satellite. Each antenna can be approximated as a rod has mass 200.0 kg and length 7.0 m. What is the new rotation rate of the satellite?arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardCheck Your Understanding By what factor must the radius change to reduce the orbital velocity of a satellite by one-half? By what factor would this change the period?arrow_forward
- One student argues that a satellite in orbit is in free fall because the satellite keeps falling toward Earth. Another says a satellite in orbit is not in free fall because the acceleration due to gravity is not 9.80m/s2 . With whom do you agree with and why?arrow_forwardA planet has two moons of equal mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. What is the magnitude of the gravitational force exerted by the planet on Moon 2? (a) four times as large as that on Moon 1 (b) twice as large as that on Moon 1 (c) equal to that on Moon 1 (d) half as large as that on Moon 1 (e) one-fourth as large as that on Moon 1arrow_forwardCheck Your Understanding The nearly circular orbit of Saturn has an average radius of about 9.5 AU and has a period of 30 years, whereas Uranus averages about 19 AU and has a period of 84 years. Is this consistent with our results for Halley’s comet?arrow_forward
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