EBK ESSENTIAL UNIVERSITY PHYSICS, VOLUM
4th Edition
ISBN: 9780135272947
Author: Wolfson
Publisher: VST
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Question
Chapter 8, Problem 2FTD
To determine
To explain:
The difference between G and g.
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The planet Mars has a radius of 3,390 km. The value of g (free fall acceleration) at the surface of Mars is 3.71 m/s2. (a) Estimate the mass of Mars, in kg. (b) Estimate the value of g at a height of 1,750 km above the surface of Mars.
Determine g for each situation using the method shown in the example below:
Example: Planet Moe has the same mass as Earth, but twice the radius.
Calculate gMoe by using the fact that gE = 9.81 m/s2 on Earth.
gE = GM / rE2 = 9.81 m/s2
gMoe = GMMoe / rMoe2 = GME / (2rE)2 = 1 GME / 4rE2 = ¼ x 9.81 m/s2 = 2.45 m/s2
a) Planet X has a mass 3 times that of the earth, but the same radius. What is the acceleration due to gravity near its surface?
b) A distant planet has a radius half the size of Earth’s, but it has the same mass as Earth.What is the acceleration due to gravity near its surface?
c) Neptune has a radius 3.9 times that of earth and a mass 17 times that of the earth.What is B at its surface?
d) A woman who weighs 800.0 N on Earth wants to lose weight, so she takes a trip to Planet Lite, which has twice the mass and three times the radius of earth.
- What is B on Planet Lite?
- What is her weight on Planet Lite?
e) What is g for a falling apple released from a distance of .…
Calculate the value of g.
Chapter 8 Solutions
EBK ESSENTIAL UNIVERSITY PHYSICS, VOLUM
Ch. 8.2 - Suppose the distance between two objects is cut in...Ch. 8.3 - Suppose the paths in Fig. 8.8 are the paths of...Ch. 8.4 - Prob. 8.3GICh. 8 - What do Newtons apple and the Moon have in common?Ch. 8 - Prob. 2FTDCh. 8 - When you stand on Earth, the distance between you...Ch. 8 - The force of gravity on an object is proportional...Ch. 8 - A friend who knows nothing about physics asks what...Ch. 8 - Could you put a satellite in an orbit that keeps...Ch. 8 - Why are satellites generally launched eastward and...
Ch. 8 - Given Earths mass, the Moons distance and orbital...Ch. 8 - How should a satellite be launched so that its...Ch. 8 - Does the gravitational force of the Sun do work on...Ch. 8 - Space explorers land on a planet with the same...Ch. 8 - Use data for the Moons orbit from Appendix E to...Ch. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Two identical lead spheres with their centers 14...Ch. 8 - Whats the approximate value of the gravitational...Ch. 8 - A sensitive gravimeter is carried to the top of...Ch. 8 - Prob. 18ECh. 8 - Find the speed of a satellite in geostationary...Ch. 8 - Marss orbit has a diameter 1.52 times that of...Ch. 8 - Calculate the orbital period for Jupiters moon Io,...Ch. 8 - An astronaut hits a golf ball horizontally from...Ch. 8 - The Mars Reconnaissance Orbiter circles the red...Ch. 8 - Earths distance from the Sun varies from 147 Gm at...Ch. 8 - Prob. 25ECh. 8 - A rocket is launched vertically upward from Earths...Ch. 8 - What vertical launch speed is necessary to get a...Ch. 8 - Prob. 28ECh. 8 - Determine escape speeds from (a) Jupiters moon...Ch. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 32ECh. 8 - Example 8.2: Find the altitude and speed of a...Ch. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Example 8.4: A coronal mass ejection (CME) is an...Ch. 8 - Example 8.4: In September 2017, the Cassini...Ch. 8 - The gravitational acceleration at a planets...Ch. 8 - Prob. 39PCh. 8 - If youre standing on the ground 15 m directly...Ch. 8 -
On January 1, 2019, the450-kg New Horizons...Ch. 8 - Equation 7.9 relates force to the derivative of...Ch. 8 - During the Apollo Moon landings, one astronaut...Ch. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Satellites A and B are in circular orbits, with A...Ch. 8 - The asteroid that exploded over Chelyabinsk,...Ch. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Neglecting air resistance, to what height would...Ch. 8 - Show that an object released from rest very far...Ch. 8 - Prob. 54PCh. 8 -
In 2017 North Korea developed ballistic missile...Ch. 8 - Prob. 56PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Two meteoroids are 160,000 km from Earths center...Ch. 8 - Prob. 62PCh. 8 - A missiles trajectory takes it to a maximum...Ch. 8 - Prob. 64PCh. 8 - Mercurys orbital speed varies from 38.8 km/s at...Ch. 8 - Prob. 66PCh. 8 - Two satellites are in geostationary orbit but in...Ch. 8 - Prob. 68PCh. 8 - Prob. 69PCh. 8 - We derived Equation 8.4 on the assumption that the...Ch. 8 - Prob. 71PCh. 8 - As a member of the 2040 Olympic committee, youre...Ch. 8 - The Olympic Committee is keeping you busy! Youre...Ch. 8 - Tidal forces are proportional to the variation in...Ch. 8 - Spacecraft that study the Sun are often placed at...Ch. 8 - Prob. 76PPCh. 8 - Prob. 77PPCh. 8 - Prob. 78PPCh. 8 - The Global Positioning System (GPS) uses a...
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- A single-stage rocket of mass 308 metric tons (not including fuel) carries a payload of 3150 kg to low-Earth orbit. The exhaust speed of the rockets cryogenic propellant is 3.20 103 m/s. a. If the speed of the rocket as it enters orbit is 8.00 km/s, what is the mass of propellant used during the rockets burn? b. The rocket is redesigned to boost its exhaust speed by a factor of two. What is the mass of propellant used in the redesigned rocket to carry the same payload to low-Earth orbit? c. Because the exhaust speed of the redesigned rocket is increased by a factor of two, why is the fuel consumption of the redesigned rocket not exactly half that of the original rocket?arrow_forwardThe star closest to the Sun is called Proxima Centauri. Proxima Centauri has a radius of101,000 km and a mass of 2.45 ×1029 kg. What is the value of g (the free fallacceleration) on the surface of Proxima Centauri?arrow_forwardEx. 48: Calculate the escape velocity of a body from the surface of a planet whose mass and radii are 6.4 × 10³ kg and 3330 km respectively. 23arrow_forward
- (D Page view A Read aloud V Draw y Highlight Erasearrow_forwardThe sun is 333000 times as massive as earth, and they are a distance r apart. At what distance x from earth should an abject, half as massive as earth, be placed so it experiences zero gravitational pull due to the sun and earth? A. x= 1/2r B. x= 1/333000r C. x= 1/578r D. x= 1/3r E. x= 1/381rarrow_forwardAn intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T. The spaceship enters a geosynchronous orbit at a distance of R. a) From the given information, write a general expression for the mass of the planet in terms of G and the variables from the problem statement. b) Calculate the mass of the planet in kilograms if T = 26 hours and R = 2.1 × 108 m.arrow_forward
- Determine the escape speed for a rocket to leave Earth's Moon. The radius of Moon is 1740km1740km and its mass is 7.36×1022kg7.36×1022kg.arrow_forwarda) We send a probe to orbit a nearby asteroid and take some pictures of it. The probe enters an orbit that puts it 850m from the centre of the asteroid. If the probe moves at 12m/s, determine the mass of the asteroidarrow_forwardHelp with physics reviewarrow_forward
- Please do fast ASAP fastarrow_forwardWhich of these has not been suggested as a method to possibly deflect an asteroid from hitting Earth? O Using its own gravity to "tow" it. O Hitting it with explosions or impacts to push it. O Painting it. O Using rockets to push it. O All of these are possible methods to deflect an asteroid.arrow_forwardAssume the Earth and Moon together form an isolated system. The mass of the earth, mass of moon and the mean distance between the earth and moon are represented respectively as, ME, MM, DEM. At what distance d from the Earth, would the net gravitational field due to Earth and Moon be zero?arrow_forward
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