Answered: The acceleration due to gravity at the…

The acceleration due to gravity at the moon's surface is 1.67 ms^- 2. If the radius of the moon is 1.74 x 10^6 m. Calculate the mass of the moon. Use the known value of G.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: planet has a diameter of 6.0×10^3 km and, one of its satellites is in a circular orbit of radius…

A: A planet has a diameter of 6.0×10^3 km and, one of its satellites is in a circular orbit of radius…

Q: Consider a planet of total mass 19.3 x 1024 kg, and radius 10.7 x 106 m. If the planet has a…

A: Using the gravitational field equations,

Q: An astronaut is standing on the moon. If the gravitational force exerted by the Moon on the…

A: Solution:-

Q: A satellite is placed in orbit 8.10 x 10 m above the surface of Jupiter. Jupiter has a mass of 1.90…

A: Given Height of satellite h = 8.1 × 105 m Mass of Jupiter M = 1.9 × 1027 Kg Radius of Jupiter R…

Q: I am on a mysterious planet that has a mass 4 times that of Earth and measure the force on a 1 kg…

A: Write the expression for the force on the object exerted by Earth. Fe=GMemRe2

Q: (a)find the magnitude of the gravitational force (in N) between a planet with mass 6.50x10^24 kg and…

Q: Consider two planets, each with mass 9 x 1024 kg. The first planet is located at coordinates (6 x…

Q: Mars has a mass of 6.39 x 1023 kg and radius 3.39 x 106 m. What is the magnitude of the…

Q: The radius of the Earth RE= 6.738e6 m and the acceleration due to gravity at its surface is 9.81…

Q: A ball of mass m is found to have a weight Wx on Planet X. Which of the following is a correct…

A: The weight of an object in a planet is the gravitational force exerted by the planet on it. It is…

Q: 4. The distance between the centers of Earth and its moon is 3.84 x 108 meters. Earth's mass is…

A: Mass of Earth = M = 5.9742×1024 kg Mass of Moon = m = 7.36×1022 kg Distance between the centers = R…

Q: Three masses, MA = Mg = Mc = M are placed at the vertices of a right triangle ( ill pilE Eilia wg'}…

Q: Cavendish determined that the gravitational constant was equal to 6.67x10-11 N m2/kg2. The Earth's…

A: Given data: Universal gravitational constant (G) = 6.67×10-11 Nm2/kg2 Earth's radius (R) = 6.37×106…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg…

A: Write the given values with suitable variables. M=7.75×1024 kgm=2.75×1022 kgr=2.9×108 m Here, M, m,…

Q: Astronomers are constantly discovering new planets orbiting nearby stars. In the following…

Q: A)Find the magnitude of the gravitational force (in N) between a planet with mass 8.75 ✕ 1024 kg and…

A: It is given that, mp=8.75×1024 kgmm=2.30×1022 kgr=2.40×108 m

Q: ass of 7.34 x 1022 kg and a radius of 1.74x10 6m. If you have a mass of 66 kg, how strong is the…

A: GivenMass of moon, M=7.34×1022 kgRadius of moon, r=1.74×106 mMass of you object, m=66 kg

Q: a)Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg and…

Q: earth-like planet has a mass of 5.00×1024 kg and a radius of 6000 km. A satellite of mass 75 kg is…

Q: An 80 kg man standing on a planet experiences a weight of 600 N. The radius of the planet is 5.4 x…

Q: The rings of the planet Saturn consist of particles of rock and ice which orbit the planet. The mass…

A: We need to calculate the gravitational attraction force between the Saturn and the orbiting…

Q: The average distance between Earth and the moon is 3.84 × 10° m. Earth has a mass of 5.97 × 1024 kg.…

A: Answer Given Mass of earth Me = 5.97×1024 kg Mass of moon Mm = 7.35×1022 kg Distance between earth…

Q: Calculate Venus's mass given the acceleration due to gravity (8.87 m/s2) and the radius of Venus…

A: Introduction: Venus is a part of our planetary system that orbit between earth and mercury around…

Q: etermine the location where an object with mass m0 when placed between the moon and earth…

A: We know that the formula gravitational force is given as Fg=G Mm0d2 where M is the mass of the…

Q: hypothetical planet has a mass 2.68 times that of Earth, but the same radius. What is g near its…

A: The acceleration due to gravity on the surface of a planet of mass M and radius R is given g =…

Q: A 1.07 kg mass is at the center of a uniform spherical shell of mass 1.06 * 10 ^ 20 * kg and radius…

A: See below

Q: According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from…

A: The given relationship of Distance(D) and Time(P) is D = 93P 2/3 For Pluto, the time P = 248…

Q: A 200 lb astronaut goes to planet X with density 3 times the density of earth and radius 6 times the…

A: GIVEN : Weight of astronaut on earth = W = 200 lb density of…

Q: Find the magnitude of the gravitational force between a planet with mass of 7.97x1024 kg and its…

Q: Astronomers are constantly discovering new planets orbiting nearby stars. In the following…

A: Your answer is (a). 8.98Fg (b). 2.361Fg…

Q: distance from the earth's surface reached by the mass.

A: Given: Mass of object is m=3 kg Initial position of object is 160 km above earth's surface. Object…

Q: What is the mass of the sun if the radius is 7.1*10^8 and the gravitational acceleration is 270?…

A: Write the given value of this question, Radius of sun is, R=7.1×108m Gravitational acceleration is,…

Q: a) Find the magnitude of the gravitational force between a planet with the mass 7.50 x 10^24 Kg and…

A: Given: The mass value of the planet is 7.50 x 10^24Kg The mass value of the moon is 2.70 x 10^22 Kg…

Q: GPS (Global Positioning System) satellites orbit at an altitude of 2.7x10^7m. You may want to review…

A: Newton's Law of Universal Gravitation The gravitational force between two objects of mass m1 and m2…

Q: the earth has a mass of 5.97 x 10^24 kg and the sun has a mass of 2.00 x 10^30 kg. If they are…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.00 ✕ 1024 kg…

A: Answer:- (a) Given Mass of a planet (M) = 6.00 × 1024 kg Mass of the moon (m) = 2.80 × 1022 kg…

Q: Planet X has a radius of 6.00×10^7 m and an unknown mass. When a woman of mass 65.0 kg weighs…

A: Given data: The radius of planet is r=6.00x107 m. The mass of woman is m=65 kg. The distance from…

Q: Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the…

Q: The gravitational force between two people is found to be 5.9 x 10-11 N. What would the…

Q: Every few months, memes circulate claiming that certain alignments of the planets with the Earth…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the…

Q: A certain planet has a radius of 4990 km. If, on the surface of that planet, a 95.0 kg object has a…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

The acceleration due to gravity at the moon's surface
is 1.67 ms^-2. If the radius of the moon is 1.74 x
10^6 m. Calculate the mass of the moon. Use the
known value of G.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given Data

VIEW

Formula Used

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Newton's theory of gravity, together with the Cavendish experiment to measure the value of Newton's constant G, determines the acceleration due to gravity at the surface of a sphere. For example, the acceleration due to gravity at the surface of Earth is g 9.81 m/s^2. Calculate the acceleration due to gravity at the surface of the sun, which has mass 1.989x10 30 kg and 6.96x108 m. radius = (in m/s^2) A: 112.2 OB: 140.2 OC: 175.3 OD: 219.1 OE: 273.9 OF: 342.3 OG: 427.9 OH: 534.9
The mass of a planet is one third that of the earth and the diameter of the planet is six times that of the earth. What is the acceleration due to gravity on the surface of the planet? Given g on earth is 9.8 ms-2.
An object with a mass of 27 kg is standing on a planet and experiences a weight of 273 N. If the radius of the planet is 2.7 x 10^5 m. Can you determine the mass of the planet?
In the year 25 000 the Earth is 1.42x101 m away from the sun and in a circular orbit, but a year remains 365 days long. Part A Calculate the mass of the sun in the year 25 000. ΑΣΦ ? msun = kg
A)Find the magnitude of the gravitational force (in N) between a planet with mass 8.75 ✕ 1024kg and its moon, with mass 2.30 ✕ 1022 kg, if the average distance between their centers is 2.40 ✕ 108 m. _______N B)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) __________m/s^2 C)What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) _________m/s^2
The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.
Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2330 m/s in a perfectly circular orbit. Here is some information that may help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)Which of the following quantities would change the radius the satellite needs to orbit at? a.)the mass of the satellite b.)the mass of the planet c.)the speed of the satellite 2.)What should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?
.
29. Consider Planet X whose mass and radius are 9.05 x 1025 [kg] and 5.95 x 104 [m], respectively. If the weight of the object on the surface of the Earth is 2940 [N], what is its weight at height 750 [m] from the surface of the Planet X? Note: The gravitational constant is G = : 6.6743 x 10-11 m3 A. 3.70 × 108 [N] C. 4.99 x 108 [N] B. 4.88 x 108 [N] D. 5.12 x 108 [N] Lkg
According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.92 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate mass of the Earth Me. Give the answer in 1024 kg. Answer: x10^24 kg
The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.
A newly discovered planet X has a mass of 36.7 × 1023 kg and radius 2.47 × 106 m. What is g on this planet's surface, in m/s2?