College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Question
Chapter 6, Problem 38P
(a)
To determine
The speed at which at rock thrown to put it in the orbit of asteroid,
(b)
To determine
The time taken by rock to return and hit back on head.
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Check out a sample textbook solutionStudents have asked these similar questions
The asteroid 243 Ida has a mass of about 4.0×10^16 kg and an average radius of about 16 km (it's not spherical, but you can assume it is).
a) Calculate the speed with which you would have to throw a rock to put it into orbit around the asteroid 243 Ida, near the surface.
b) How long would it take for your rock to return and hit you in the back of the head?
The asteroid 243 Ida has a mass of about 4.0×10¹⁶ kg and an average radius of about 16 km (it's not spherical, but you can assume it is).
Calculate the speed with which you would have to throw a rock to put it into orbit around the asteroid 243 Ida, near the surface.
How long would it take for your rock to return and hit you in the back of the head? (Express your answer in hours.)
(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of
5.34 x 104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore
atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your
calculations.)
m/s
(b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a
"gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is
1.85 x 104 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from
the Earth's surface at a speed of 4.10 x 104 m/s relative to the Sun, what is the increase in speed needed from the
gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s)? (Assume that the Earth and
the point on Jupiter's orbit lie along the same…
Chapter 6 Solutions
College Physics (10th Edition)
Ch. 6 - If there is a net force on a particle in uniform...Ch. 6 - As a car rounds a banked circular curve at...Ch. 6 - A student wrote, The reason an apple falls...Ch. 6 - Non-physicists often ask questions such as What...Ch. 6 - During an actual interview for a college teaching...Ch. 6 - If two planets have the same mass, will they...Ch. 6 - True or false? Astronauts in satellites orbiting...Ch. 6 - True or false? If a rock is acted upon by a...Ch. 6 - On an icy road, you approach a curve that has the...Ch. 6 - You are riding on a roller coaster with a hill...
Ch. 6 - The moon is accelerating toward the earth. Does...Ch. 6 - A passenger in a car rounding a sharp curve feels...Ch. 6 - If the earth had twice its present mass, its...Ch. 6 - An astronaut is floating happily outside her...Ch. 6 - A frictional force f provides the centripetal...Ch. 6 - Two masses m and 2m are each forced to go around a...Ch. 6 - A stone of weight W is attached to a strong string...Ch. 6 - If a planet had twice the earths radius, but only...Ch. 6 - When a mass goes in a horizontal circle with speed...Ch. 6 - In the previous problem, if both the speed and the...Ch. 6 - Two 1.0 Kg point masses a distance D apart each...Ch. 6 - Two massless bags contain identical bricks, each...Ch. 6 - When two point masses are a distance D apart, each...Ch. 6 - If human beings ever travel to a planet whose mass...Ch. 6 - A racing car drives at constant speed around the...Ch. 6 - A stone with a mass of 0.80 kg is attached to one...Ch. 6 - Force on a skaters wrist. A 52 kg ice skater spins...Ch. 6 - A flat (unbanked) curve on a highway has a radius...Ch. 6 - The Giant Swing at a county fair consists of a...Ch. 6 - A small button placed on a horizontal rotating...Ch. 6 - Using only astronomical data from Appendix E,...Ch. 6 - A highway curve with radius 900.0 ft is to be...Ch. 6 - The Indy 500. The Indianapolis Speedway (home of...Ch. 6 - A bowling ball weighing 71.2 N is attached to the...Ch. 6 - A lead fishing weight of mass 0.2 kg is tied to a...Ch. 6 - A 50.0 kg stunt pilot who has been diving her...Ch. 6 - Effect on blood of walking. While a person is...Ch. 6 - Stay dry! You tie a cord to a pail of water, and...Ch. 6 - Stunt pilots and fighter pilots who fly at high...Ch. 6 - If two tiny identical spheres attract each other...Ch. 6 - What is the ratio of the suns gravitational pull...Ch. 6 - Rendezvous in space! A couple of astronauts agree...Ch. 6 - What is the ratio of the gravitational pull of the...Ch. 6 - A 2150 kg satellite used in a cellular telephone...Ch. 6 - At a distance N RE from the earths surface, where...Ch. 6 - Find the magnitude and direction of the net...Ch. 6 - How far from a very small 100 kg ball would a...Ch. 6 - Each mass in Figure 6.30 is 3.00 kg. Find the...Ch. 6 - An 8.00 kg point mass and a 15.0 kg point mass are...Ch. 6 - How many kilometers would you have to go above the...Ch. 6 - Your spaceship lands on an unknown planet. To...Ch. 6 - If an objects weight is W on the earth, what would...Ch. 6 - Huygens probe on Titan. In January 2005 the...Ch. 6 - The mass of the moon is about 1/81 the mass of the...Ch. 6 - Neutron stars, such as the one at the center of...Ch. 6 - The asteroid 243 Ida has a mass of about 4.0 1016...Ch. 6 - Prob. 33PCh. 6 - What is the period of revolution of a satellite...Ch. 6 - Prob. 35PCh. 6 - Planets beyond the solar system. On October 15,...Ch. 6 - Communications satellites. Communications...Ch. 6 - Prob. 38PCh. 6 - Apparent weightlessness in a satellite. You have...Ch. 6 - Baseball on Deimos! Deimos, a moon of Mars, is...Ch. 6 - International Space Station. The International...Ch. 6 - Artificial gravity. One way to create artificial...Ch. 6 - Shortest possible day. Consider the fact that an...Ch. 6 - Volcanoes on lo. Jupiters moon lo has active...Ch. 6 - You tie one end of 0.3-m-long spring to a 0.5 kg...Ch. 6 - An astronaut carefully measures the gravitational...Ch. 6 - Prob. 47GPCh. 6 - A 1125 kg car and a 2250 kg pickup truck approach...Ch. 6 - Exploring Europa. Europa, a satellite of Jupiter,...Ch. 6 - The star Rho1 Cancri is 57 light-years from the...Ch. 6 - A 4.00 kg block is attached to a vertical rod by...Ch. 6 - As your bus rounds a flat curve at constant speed...Ch. 6 - Artificial gravity in space stations. One problem...Ch. 6 - Based on these data, what is the most likely...Ch. 6 - How many times the acceleration due to gravity g...Ch. 6 - Exoplanets. As planets with a wide variety of...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Suppose 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_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardLet gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forward
- Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forwardIn Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forward
- For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?arrow_forwardThe astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forwardTwo planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?arrow_forward
- Check Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?arrow_forwardWe are planning a human exploration mission to Mars. We will first place our spacecraft into a circular around Mars and then send down a lander. a) If we want the spacecraft to orbit at an altitude of 170 km above the Martian surface, what will the velocity and orbital period of the spacecraft? b) When we land astronauts on the surface of Mars, what acceleration due to gravity in terms of g’s (i.e. as a fraction of the Earth’s gravitational acceleration) will the astronauts experience? You are permitted to use an online resource (e.g. Google) to find the necessary information about Mars that you might need in solving this problem.arrow_forward(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.48 x 10 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.) Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is 1.85 x 10 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10 x 10 m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar…arrow_forward
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