Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 4, Problem 8P
To determine
The example for how the equipment to measure the mass of an astronaut on the orbiting space station can be designed.
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1) The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth.
a) Compute the acceleration due to gravity on the surface of Venus from these data.
b) If a rock weighs 75.0 N on earth, what would it weigh at the surface of Venus?
Astronomical Datat
Вody
Mass (kg)
Radius (m)
Orbit radius (m)
Orbital period
1.99 x 10
7.35 x 1022
3.30 X 10
4.87 x 104
5.97 x 1024
6.42 x 1023
1.90 X 107
5.68 X 106
8.68 X 103
1.02 x 10%
1.31 X 102
6.96 x 10
1.74 X 10
244 X 10
6.05 x 10
6.37 X 10
3.39 X 106
6.99 X 107
5.82 x 10
2.54 X 10
2.46 X 10
1.15 X 10
Sun
3.84 X 10
5.79 x 1010
1.08 x 101
1.50 x 10"
2.28 X 101
7.78 X 10"
143 X 1012
2.87 X 1012
4.50 X 1012
5.91 x 1012
Моon
27.3 d
88.0 d
224.7 d
365.3 d
687.0 d
11.86 y
29.45 y
84.02 y
164.8 y
247.9 y
"Source: NASA (http://solarsystem.nasa.govplanets/). For each body, "radius" is its average radius and "orbit radius" is
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Plutot
its average distance from the sun or (for the…
Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of birth. The only known force a planet exerts on Earth is gravitational.
(a) Calculate the magnitude of the gravitational force exerted on a 3.70-kg baby by a 100-kg father 0.221 m away at birth (assisting so he is close). N(b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest to the Earth, some 6.29 1011 m away, showing it to be comparable to that of the father. The mass of Jupiter is about 1.90 1027 kg. Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.) N
The planet Krypton had a surface gravitational field strength of 13.5 N/kg.
a) if Superman weighed 1054N on Krypton, how much would he weigh on Earth?
b) if Krypton had a radius of 1.6 x 104 km, what would its mass have been?
Chapter 4 Solutions
Physics for Scientists and Engineers
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98P
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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
- (a) Find the magnitude of the gravity force between a planet with mass 5.98 1024 kg and its moon, with mass 7.36 1022 kg, if the average distance between them is 3.84 108 m. (b) What is the acceleration of the moon toward the planet? (c) What is the acceleration of the planet toward the moon? (See Section 7.5.)arrow_forwardFor 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_forwardIn 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_forward
- (a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forwardA body on the surface of a planet with the same radius as Earth’s weighs 10 times more than it does on Earth. What is the mass of this planet in terms of Earth’s mass?arrow_forwardA space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheels rotation in revolutions per minute that will produce this effect.arrow_forward
- The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.arrow_forwardSuppose an alien civilization has a space station in circular orbit around its home planet. The stations orbital radius is twice the planets radius, (a) If an alien astronaut has weight w just before launch from the surface, will she be weightless when she reaches the station and floats inside of it? (b) If not, what will be the ratio of her weight in orbit to her weight on the planets surface?arrow_forward(a) Given that the period of the Moons orbit about the Earth is 27.32 days and the nearly constant distance between the center of the Earth and the center of the Moon is 3.84 108 m, use Equation 13.11 to calculate the mass of the Earth. (b) Why is the value you calculate a bit too large?arrow_forward
- (a) Calculate the acceleration due to gravity on the surface of the Sun. (b) By what factor would your weight increase if you could stand on the Sun? (Never mind that you cannot.)arrow_forwardAstrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one's birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the gravitational force exerted on a 4.00 kg baby by a 90 kg father 0.100 m away at birth (he is assisting, so he is close to the child). (b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest distance to Earth, some 6.29×1011 m6.29×1011 m away. How does the force of Jupiter on the baby compare to the force of the father on the baby? Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)arrow_forwardThis morning a Houston-based startup company named Axiom-1 Space launched an all-private astronaut crew on a SpaceX Falcon-9 Rocket to fly to the International Space Station (ISS). The International Space Station would weigh 925,000 Ibs. on earth a) Determine the mass of the ISS in kg. b) If the ISS orbits the earth at a height of 4.2 x 10^5 m above earth's surface, determine the distance (in meters) between the center of gravity of the earth and the ISS given the radius of the earth is 6.4 x 10^6 m. (Round answer to the nearest tenth) c) Determine the gravitational force of attraction between the earth and the ISS given earth's mass is 6× 10^24 kg . d) Determine the tangential velocity of the ISS. (Hint: Recall your equation for (centripetal) setting it equal to your (gravitational) just determined in part c) and solve for the tangential velocity of the ISS.arrow_forward
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