EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Chapter 13, Problem 13.73AP
To determine
The minimum speed of the meteoroid if it is not to collide with the earth.
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In a faraway galaxy, a meteoroid is moving along a straight line that will pass a planet at a distance of 5RP from the planet's center, where RP is the planet's radius. What minimum speed must the meteoroid have if it is not to collide with the planet? (Assume the meteorite is detected when it is very far from the planet. Use the following as necessary: RP, MP for the mass of the planet, and G. Note that the P subscripts are uppercase. Write an expression in terms of v=)
While standing on the surface of a spherical asteriod of mass M and radius R., and astronaut thows a small rock straight upward away from the center. What is the minimum speed she must give to the rock to reach a height h above the surface. Assume that h is not small compared to R. The asteriod has no atmosphere and take the rock's mass to be small compared to M.
The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light.
Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole.
(a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.
Chapter 13 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 13 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13 - Superman stands on top of a very tall mountain and...Ch. 13 - An asteroid is in a highly eccentric elliptical...Ch. 13 - Prob. 13.4QQCh. 13 - A system consists of five particles. How many...Ch. 13 - Rank the following quantities of energy from...Ch. 13 - Prob. 13.3OQCh. 13 - Suppose the gravitational acceleration at the...Ch. 13 - Imagine that nitrogen and other atmospheric gases...Ch. 13 - An object of mass m is located on the surface of a...
Ch. 13 - Prob. 13.7OQCh. 13 - The vernal equinox and the autumnal equinox are...Ch. 13 - Rank the magnitudes of the following gravitational...Ch. 13 - The gravitational force exerted on an astronaut on...Ch. 13 - Prob. 13.11OQCh. 13 - Each Voyager spacecraft was accelerated toward...Ch. 13 - In his 1798 experiment, Cavendish was said to have...Ch. 13 - Prob. 13.3CQCh. 13 - Prob. 13.4CQCh. 13 - Prob. 13.5CQCh. 13 - Prob. 13.6CQCh. 13 - Prob. 13.7CQCh. 13 - Prob. 13.8CQCh. 13 - A satellite in low-Earth orbit is not truly...Ch. 13 - In introductory physics laboratories, a typical...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - A 200-kg object and a 500-kg object are separated...Ch. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Two ocean liners, each with a mass of 40 000...Ch. 13 - Three uniform spheres of masses m1 = 2.00 kg, m2 =...Ch. 13 - Two identical isolated particles, each of mass...Ch. 13 - Prob. 13.8PCh. 13 - Two objects attract each other with a...Ch. 13 - Review. A student proposes to study the...Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...Ch. 13 - Three objects of equal mass are located at three...Ch. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Io, a satellite of Jupiter, has an orbital period...Ch. 13 - A minimum-energy transfer orbit to an outer planet...Ch. 13 - A particle of mass m moves along a straight line...Ch. 13 - Plasketts binary system consists of two starts...Ch. 13 - Two planets X and Y travel counterclockwise in...Ch. 13 - Comet Halley (Fig. P13.23) approaches the Sun to...Ch. 13 - Prob. 13.24PCh. 13 - Use Keplers third law to determine how many days...Ch. 13 - Neutron stars are extremely dense objects formed...Ch. 13 - A synchronous satellite, which always remains...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - A satellite in Earth orbit has a mass of 100 kg...Ch. 13 - How much work is done by the Moons gravitational...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - Prob. 13.33PCh. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 13.36PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 13.38PCh. 13 - Prob. 13.39PCh. 13 - Prob. 13.40PCh. 13 - Prob. 13.41PCh. 13 - Prob. 13.42PCh. 13 - Prob. 13.43PCh. 13 - Prob. 13.44PCh. 13 - Prob. 13.45PCh. 13 - Prob. 13.46PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 13.48PCh. 13 - At the Earths surface, a projectile is launched...Ch. 13 - Prob. 13.50APCh. 13 - Prob. 13.51APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - A satellite is in a circular orbit around the...Ch. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - Prob. 13.56APCh. 13 - Prob. 13.57APCh. 13 - Prob. 13.58APCh. 13 - Prob. 13.59APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - Two hypothetical planets of masses m1 and m2 and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - A ring of matter is a familiar structure in...Ch. 13 - Prob. 13.64APCh. 13 - Review. As an astronaut, you observe a small...Ch. 13 - Prob. 13.66APCh. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 13.69APCh. 13 - Prob. 13.70APCh. 13 - Prob. 13.71APCh. 13 - Prob. 13.72APCh. 13 - Prob. 13.73APCh. 13 - Two stars of masses M and m, separated by a...Ch. 13 - Two identical particles, each of mass 1 000 kg,...Ch. 13 - Prob. 13.76APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...Ch. 13 - The oldest artificial satellite still in orbit is...Ch. 13 - Prob. 13.80CP
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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
- What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardAn average-sized asteroid located 5.0107km from Earth with mass 2.01013kg is detected headed directly toward Earth with speed of 2.0km/s . What will its speed be just before it hits our atmosphere? (You may ignore the size of the asteroid.)arrow_forward
- (a) Find the value of for the following situation. An astronaut measures the length of his spaceship to be 100 m, while an observer measures it to be 25.0 m. (b) What is the of the spaceship relative to Earth?arrow_forwardThe radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun. (b) Is the ratio an upper limit estimate or a lower limit estimate?arrow_forward(a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.20 cm. m/sarrow_forward
- You are on a space station, in a circular orbit h = 500 km above the surface of the Earth. You complete your tasks several days early and must wait for the next mission from the surface to bring you home. After days of boredom, you decide to play some golf. Walking on the space station surface with magnetic shoes, you tee up a golf ball. You hit it with all of your might, sending it off with speed υrel, relative to the space station, in a direction parallel to the velocity vector of the space station at the moment the ball is hit. You notice that you then orbit the Earth exactly n = 2.00 times and you reach up and catch the golf ball as it returns to the space station. With what speed υrel was the golf ball hit?arrow_forwardThe earth has a mass M = 5.972E24 kg and radius R = 6372km. Suppose your friend wanted to throw a 145.0 g baseball parallel to the ground from a hot air balloon 20, 000.0 m above sea level. Neglecting air resistance and height changes of the landscape, at what speed v would the baseball need to have after your friend throws it, to enter free - fall orbit and never fall to the ground? Don't write on paper,type your ans wer please.arrow_forward(D Page view A Read aloud V Draw y Highlight Erasearrow_forward
- The escape speed of a projectile on the earth’s surface is 11.2 km s-1. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.arrow_forwardA planet is in an elliptical orbit around a distant star. At periastron (the point of closest approach to the star), the planet is rp = 3.90 × 108 km from the star and is moving with a speed of up = 21.5 km/s. When the planet is at apastron (the point of greatest distance from the star), it is ra = 9.00 × 108 km from the star. VD How fast is the planet moving at apastron? Ua= 1₂ km/sarrow_forwardA bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is (4)th of its value of the surface of the planet. If the escape velocity from the planet is Vesc = v VN, then the value of N is (ignore energy loss due to atmosphere).arrow_forward
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