**Exercise: Gravitational Acceleration on Celestial Bodies****(a)** What is the acceleration (in m/s²) of gravity on the surface of the moon?- **Provided Answer:** \(1.620 \, \text{m/s}^2\)**(b)** What is the acceleration (in m/s²) of gravity on the surface (or outer limit) of Mercury?The mass of Mercury is \(3.18 \times 10^{23} \, \text{kg}\) and its radius is \(2.43 \times 10^6 \, \text{m}\).- **To be calculated:** \(\text{m/s}^2\)(Note: For precision in scientific contexts, use the formula for gravitational acceleration: \( g = \frac{G \times M}{r^2} \), where \( G \) is the gravitational constant, \( M \) is the mass, and \( r \) is the radius.)

Answered: Image /qna-images/answer/6ba1058f-1f22-467b-909a-5672aacca4cc.jpg

(a) What is the acceleration (in m/s) of gravity on the surface of the moon? 1.620 m/s? (b) What is the acceleration (in m/s2) of gravity on the surface (or outer limit) of Mercury? The mass of Mercury is 3.18 x 1023 kg and its radius is 2.43 x 10° m. m/s?

(a) What is the acceleration (in m/s) of gravity on the surface of the moon? 1.620 m/s? (b) What is the acceleration (in m/s2) of gravity on the surface (or outer limit) of Mercury? The mass of Mercury is 3.18 x 1023 kg and its radius is 2.43 x 10° m. m/s?

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: What is the gravitational field strength on the surface of a moon with a mass of 3.7x1021 Kg and a…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg…

A: Given value--- mass of planet = 7.25 × 1024 kg. mass of Moon = 2.30 × 1022 kg. distance between…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.00 ✕ 1024 kg…

A: (a) The magnitude of the gravitational force between the given planet and its moon can be…

Q: A dwarf planet orbits the Sun at a radius of 3.04*10^14 m. It has a mass of 7.79*10^22 kg. What is…

A: Given data: Radius (r) = 3.04×1014 m Mass of dwarf planet (M1) = 7.79×1022 kg Mass of Sun (M2) =…

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

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

A: (a) Magnitude of gravitational force

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

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

Q: Find the magnitude of the gravitational force (in N) between a planet with mass 6.75 ✕ 1024 kg and…

A: Let the mass of the planet M = 6.75 ✕ 1024 kg The mass of its moon m = 2.65 ✕ 1022 kg The average…

Q: A 1500 kg satellite is in orbit around the Moon at a distance of 3 Moon radii above the surface of…

A: Mass of the moon, m1=7.35×1022 kg Mass of the satellite, m2=1500 kg The radius of the Moon,…

Q: A 3.5 kg mass weighs 29.05 N on the surface of a planet similar to Earth. The radius of this planet…

A: The formula for the acceleration due to gravity on the planet is given by, Here, G, MP and r…

Q: The mass of an electron is m=9.11*10^-31 kg. The mass of a proton is m=1.67*10^-27 kg. They are…

A: The expression for the gravitational force between the electron and proton is as follows: F=GmPmer2…

Q: The acceleration of the gravity on the surface of the Moon is 1.63ms2/. What is the weight on the…

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: A distant planet has a mass of 5x1024 kg and a radius of 4835.7 km. (a) What is the acceleration due…

A: Given data: Mass of the planet, M=5×1024 kg. Radius of the planet, R=4835.7 km. The equation for…

Q: The mass of the Moon is 7.35 x 1022 kg and the Moon’s radius is 1079.4 miles. What is the…

A: The acceleration due to gravity on the surface of Moon is given by, g=GMR2 Here, G is the universal…

Q: A planet has a mass of 7.48 × 1023 kg and a radius of 2.61 × 106 m. (a) What is the acceleration due…

A: a)The required acceleration due to gravity on the planet is,

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.00 ✕ 1024 kg…

A: The given data are listed below with suitable variables. Here, M denotes the planet’s mass, m…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg…

A: Mass of planet ,M = 7.25 ✕ 1024 kg Mass of moon ,m = 2.40 ✕ 1022 kg Distance , r = 2.90 ✕ 108 m To…

Q: The International Space Station (ISS) orbits the Earth in a nearly circular orbit that is 345 km…

A: "Since you have asked multiple question, we will solve first three question for you. If you want any…

Q: The average density of the planet Mercury in 5.61 * 10^3 kg/m^3. The acceleration of gravity on its…

A: Given: Average density of mercury planet , ρ=5.61×103 kg/m3 Gravitational acceleration on planet…

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

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

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

A: he gravitational force between the two masses is given by F = G m m'r2 where, r is the distance…

Q: If an object in space has a radius of 5x10^6 m and a mass of 8x10^23 kg, what is the acceleration…

A: Given: The mass of the object is 8x1023 kg. The radius of the object is 5x106 m.

Q: A planet has a mass of 6.71 x 1023 kg and a radius of 3.51 x 106 m. (a) What is the acceleration due…

A: Given data: Mass of planet (M) = 6.71×1023 kg Radius (R) = 3.51×106 m Mass of the person (m) = 69.7…

Q: A cube of tin with sides of length 2.8 m is transported to the surface of Mars. What is the weight…

Q: A recently discovered planet has a radius 2.3 times that of Earth, but has the same mass. What is…

A: Given Data The relation of the radius of the planet and radius of the earth is given as rp = 2.3re…

Q: A 100 kg person and a 75 kg person are sitting on a bench. Estimate the magnitude of the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: The acceleration due to gravity on the surface of a planet is seven times as large as it is on the…

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

A: 900lb is correct answer Detail sol

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: Planet Z-1 has a mass equal to one-third that of the Earth and a radius equal to one- third that of…

A: Given data: Mass of earth = M Mass of planet Z-1 (M1) = (1/3)M Radius of earth = R Radius of planet…

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

A: a) The newton’s law of gravitation, magnitude of gravitational force is,

Q: Find the magnitude of the gravitational force (in N) between a planet with mass 6.75 * 10 ^ 24 * kg…

A: Mass of the planet ( MP) = 6.75 * 10 24 kg Mass of the moon ( MM ) = 2.55 * 10 22 kg Average…

Q: At the Sun’s surface, the gravitational force between the sun and a 5.00 kg mass of hot gas has a…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.25 x 10" kg…

A: Given(s) Mass of the planet, M=8.25 x 1024 kg Mass of the moon, m=2.20 x 1022 kg Distance between…

Q: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg…

A: planet with mass, m1 = 7.25 ✕ 1024 kg its moon, with mass , m2 = 2.25 ✕ 1022 kg, the average…

Q: A planet has a mass of 6.90 × 1023 kg and a radius of 2.89 × 106 m. (a) What is the acceleration due…

A: The mass of the planet (M) = 6.90*1023 Kg and radius of the planet (R) = 2.89 × 106 m now we known…

Q: What is the force between the Sun with a mass of 1.99 x 10^30 kg and the planet Uranus with a mass…

A: Given data: Mass of sun (m1) = 1.99×1030 kg Mass of Uranus (m2) = 8.73×1025 kg Distance (r) =…

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: Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of 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: (a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg…

A: Given data: Mass of the planet (M1) = 8.00×1024 kg Mass of the moon (M2) = 2.50×1022 kg Distance…

Q: Find the magnitude of the gravitational force (in N) between a planet with mass 7.00 ✕ 1024 kg and…

Question

**Exercise: Gravitational Acceleration on Celestial Bodies**

**(a)** What is the acceleration (in m/s²) of gravity on the surface of the moon?
- **Provided Answer:** \(1.620 \, \text{m/s}^2\)

**(b)** What is the acceleration (in m/s²) of gravity on the surface (or outer limit) of Mercury?

The mass of Mercury is \(3.18 \times 10^{23} \, \text{kg}\) and its radius is \(2.43 \times 10^6 \, \text{m}\).

- **To be calculated:** \(\text{m/s}^2\)

(Note: For precision in scientific contexts, use the formula for gravitational acceleration: \( g = \frac{G \times M}{r^2} \), where \( G \) is the gravitational constant, \( M \) is the mass, and \( r \) is the radius.)

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

11. a) What is the weight (in newtons) of an 80 kg person at the Earth's surface? b) What is the weight of the same person on the surface of a planet with mass 8.0 x 1024 kg and a radius of 5.5 x 10' m? (G = 6.67 x 101 N* m?/kg?)
(a) What is the acceleration due to gravity on the surface of the Moon? (b) What is the acceleration due to gravity on the surface of Venus? The mass of Venus is 4.87 ✕ 1024 kg and its radius is 6.05 ✕ 106 m.
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?
The gravitational field strength on the surface of the Moon is 1.6 N/kg. The radius of the Moon is 1.7x 10^6 m. How much would a 60.0 kg astronaut weigh in orbit around the Moon at an altitude of 2.0 x 10^5 m above the lunar surface?
(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg and its moon, with mass 2.35 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m. (B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s2 (C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s2
(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 x 1024 kg and its moon, with mass 2.20 x 1022 kg, if the average distance between their centers is 2.90 x 10° m. (b) What is the moon's acceleration (in m/s?) toward the planet? (Enter the magnitude.) m/s2 (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s?
Jupiter is the largest planet in the solar system by far. It has many moons, one of which is called Io. Io has a mass of 8.93x1022 kg and the gravitational field strength on its surface is 1.80 N/kg. What is Io’s radius?
A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched from this planet's surface is 7.65×103 m/sm/s. What is the acceleration due to gravity at the surface of the planet? Express your answer with the appropriate units.
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.
A mountain located 10.0 km from a person exerts a gravitational force on them equal to 3.00% of their weight. The gravitational constant ? is 6.67×10−11m3/(kg·s2), and the acceleration due to gravity ? at the surface of the Earth is 9.81 m/s2. Calculate the mass ? of the mountain.
a)find the magnitude of the gravitational force (in N) between a planet with mass 9.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m. = N b)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)