During one trial of his experiment, Cavendish measured the force of attraction between a 158 kg sphere and a 0.730 kg sphere placed 230 mm apart to be 1.74 x 10-7 N. Calculate the universal gravitational constant based on these values.
Q: A satellite orbits a planet at 7000m/s in 100 minutes. What is the mass of the planet? b. What is…
A: Velocity of satellite = 7000m/s time = 100 min =6000 sec we have to calculate mass of the planet.
Q: a) What is the gravitational force that Sgr A* exerts on a person of mass 75 kg? b) Suppose the same…
A: Ans: Given that; Sagittarius has the mass equal to 4.3 million suns The mass of the sun is 1.99 x…
Q: A neutron star has a mass of 2(1030) kg and a diameterof 10(103) m. Determine the gravitational…
A:
Q: Which of the following is true of the strength of a gravity field? A. Gravity field strength is…
A: Correct option is (d) i e Gravity field strength is inversely proportional to the square of the…
Q: What is the force of gravitational attraction between the earth (m = 5.98 x10^24 kg) and a 70-kg…
A: Mass of the earth, m1= 5.98×1024kg Mass of the student, m2= 70 kg Distance between the center of the…
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: 1) What is approximately the gravitational force of the sun on the planet mars? (RMS= 2.28 × 10 km,…
A:
Q: Problem 10: You are a scientist exploring a mysterious planet. You have performed measurements and…
A: The needed centripetal force(Fc) by planet is assisted by the gravitational force between planet and…
Q: Astronomers have observed a small, massive object at the center of our Milky Way galaxy. A ring of…
A:
Q: Object 1 with m1 = 3.5 kg and Object 2 with m2 = 15 kg are separated by r = 0.18 m. a) Express…
A: Given data: Two objects m1 = 3.5 kg and m2 = 15 kg Distance between objects (r) = 0.18 m Required:…
Q: A 2070 kg space station orbits Earth at an altitude of 5.25 x 105 m. Find the magnitude of the force…
A:
Q: 12. Which of the following statements is not correct? a. The weight of a body on Earth is a measure…
A:
Q: An astronaut, with her space-suit, has a mass of 80 kg. The gravitational field strength on the Moon…
A: The objective of the question is to calculate the gravitational field strength on the surface of…
Q: 1. Two objects attract each other gravitationally with a force of 2.2×10−10 NN when they are 0.65 mm…
A:
Q: Two electrons in a molecule are 3.80 x 10-10 m apart. Calculate the magnitude of the gravitational…
A: Gravitational force is one of the fundamental forces of nature. It is responsible for keeping…
Q: a. Calculate the escape velocity of our solar system, from the surface of the sun. b. What velocity…
A: The escape velocity is the smallest velocity at which a body needs travel to escape the…
Q: A planet and its largest moon have masses 1.38E+25_kg and 2.48E+18_kg, respectively, and are…
A: Mass of planet (M) = 1.38×1025 kg Mass of moon (m) = 2.48×1018 kg distance between planet and moon…
Q: Determine the gravitational field on the surface of Mars. Mars' mass is 6.39 x 10²³ kg, and its…
A:
Q: What is the force of gravitational attraction between the earth (m = 5.98 x10^24 kg) and a 70-kg…
A: Write the given values with the suitable variables. m=5.98×1024 kgM=70 kgr=6.38×106 m Here, m is the…
Q: The mass of Neptune is 1.03 x 1026 kg and its diameter is 4.54 x 107 m . What is yhe magnitude of…
A: We know thatg=Gmr2Whereg=gravitational field strengthG=Gravitational constantm=mass r=radius
Q: 2. Star A is twice as massive as star B. A B a. Which star experiences a larger magnitude of…
A: Given ma = 2 mb
Q: a) Calculate x and y components of r12. b) Calculate the x and y components, gx and gy, of the…
A:
Q: )how long would it take for a ball dropped from a height of 15.0 meters to land on the surface of…
A:
Q: 4) A planet that has a hollow core consists a uniform spherical shell with mass M, outer radius R,…
A: a)
Q: What force holds the Earth in its place in the solar system? a. The gravitational pull caused by…
A: The sun is the solar system's biggest body. It holds more than 99% of the solar system's mass. With…
Q: A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been…
A: Hey there, since you have asked multiple questions we have solved the first three for you. Please…
Q: What must the separation be between a 7.0 kg particle and a 4.9 kg particle for their gravitational…
A:
Q: 4. A certain star is a perfect sphere of radius R. Its density varies with radius according to p =…
A: According to Gauss' Law the surface integral of Gravitational field is proportional to the mass…
Q: Verify Stokes' Theorem for fas F. dr, where F = -yr²i+ry2j + zk, and S is the part of the sphere x²…
A: Stokes' theorem states that for a smooth oriented surface S bounded by a simple, closed, piecewise…
Q: 4) A planet that has a hollow core consists of a uniform spherical shell with mass M, outer radius…
A: Given that: Total mass = M Inner radius= R/2 Outer radius = R
Q: C) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by…
A: Here's the explanation based on the theory behind the calculations:Escape Velocity:Every object…
Q: 2. Use Stokes' Theorem to evaluate ff, Vx F n dS where F(x, y, z) = and C is the part of the sphere…
A: Given, Fx,y,z=<xy,yz,zx>
Q: Members of the Star Trek exploration committee find themselves on Physitopia, a planet with its own…
A: Solution Given dataMass of physitopia M=6.46×1023kgRadius R=3.39×106mMass of individual…
Q: Planet Kling has half the radius and 2 times the mass of the Earth. What is the best estimate for…
A: Here, r=re2m=2me
Q: Every particle in the universe attracts every other particle with a force that is proportional to…
A: Given: We re provided with some situations and need to find the gravitational force.
Q: A binary star system has two stars, both with a mass of 3.6 x 102 kg separated by 6.2 x 1010 meters.…
A:
a. During one trial of his experiment, Cavendish measured the force of attraction between
a 158 kg sphere and a 0.730 kg sphere placed 230 mm apart to be 1.74 x 10-7 N.
Calculate the universal gravitational constant based on these values.
b. Describe two potential sources of error in his measurement.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- a) i. b) i. Define gravitational field strength at a point. Determine the mass of the Earth assuming that it is a uniform sphere of radius 6378 km and that the gravitational field strength at the Earth's surface is 9.81 N kg¹¹. Determine the average density of the Earth. iii. Use the mass of the Earth as calculated in part b)i to determine the gravitational field strength due to the Earth at a distance of 3.5 x 108 m from the centre of the Earth. ii. iv. Consider a point X a distance of 3.5 x 108 m from the centre of the Earth and which lies on the line joining the centre of the Earth to the centre of the Moon. c) i. ii. At X the gravitational field strength due to the Moon is equal but opposite to that of the Earth. The mass of the Moon is 7.4 x 10²2 kg. Determine the distance from the centre of the Moon to X and hence determine the distance between the centres of the Earth and Moon. Determine the time in Earth years for the planet Jupiter to complete one orbit of the Sun. Take 1…Question 1 The Oort Cloud extends out to (possibly) one light- year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: GMm p2 Calculate the force on the object if these are the numbers: G = 5.1*10-11 N*m?/kg² • M = 2.4*1030 kg • m = 1.0*10® kg r = 7*1015 m Calculate your answer in microNewtons (10-6 N).What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?
- You are an astronaut on a rotating space station. Your station has an inside diameter of 3.00 km a) Draw a system diagram and FBD of your body as you stand on the interior surface of the station b) Determine the speed you need to have if your apparent weight is to be equal in magnitude to your Earth -boundweight. c) Determine your frequency of rotation, both in hertz and in revolutions per minute.6. Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is F where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/ dr and explain its mean. What does the minus sign indicate? GmM r2 (b) Suppose it is known that the earth attracts an object with a force that decreases at a rate of 1N/km when r =15,000 km. How fast does this force change when r = 5,000 km?Please show method and answer
- An extrasolar planet has mass 1.27E+25 kg and radius 67400000_m. What is the escape speed for this planet? 11440_m/s 12230_m/s 5014_m/s А. D. 16190_m/s В. Е. 1973_m/s С. F. 9206 m/sa. What is the difference between the force in F = ma (Newton's 2nd law) and F= Gm₁m₂/d² (Newton's law of universal gravitation). b. Find the net force on a Planet A of mass 3.0 x 101⁹ kg due to the gravitational attraction of both Planet B of mass 4.9 x 102⁰ kg and the Sun of mass 2.1 x 103⁰ kg, assuming they are at right angles to each other. The distance of Planet A from Planet B is 5.0 x 107 m and distance of the Sun from the Planet A is 5.8 x 106 m. G= 6.67 x 10-1¹ N.m²/kg². |only need solution to d and e
- The gravitational force of attraction between any two point masses is attractive and the magnitude: Gm₂m₂ G = 6.67 x 10-11 N-m² kg² F= where G is the gravitation constant, m, and m₂ are the masses, and r is the distance between the masses. This is quite different from the force of gravity that we have been using, where weight = mg. 1. Acceleration due to gravity: a. Lett one mass be the Earth and the other mass m is let go just above the surface of the Earth. Calculate the value of the acceleration due to gravity using Newton's law of gravitation. The net effect of the Earth's gravity is the same as if the all the mass of the Earth were concentrated at its center. b. The F-22 Raptor fighter jet has a service ceiling of 12 miles or 20 km. Determine the acceleration due to gravity at this altitude. c. The International Space Station is in low Earth orbit at a height of 400 km above the surface of the Earth. Determine the acceleration due to gravity at this altitude. d. What is assumed…Problem 05At what altitude aboye Earth's surface would the gravitational acceleration be 1.40 m/s²? (Take the Earth's radius as 6370 km. Number i Units