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I don't understand where g=6.667*10^-11N*m^2/kg^2 comes from.
Can you help me understand how the book came up with that equation?
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- Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]the up mIbi, thla 2. In the future, we may encounter a civilization from another planet. They will not use the SI or AE systems of units. Suppose we meet aliens who use the Zerf as a unit of mass and the Spund as a unit of force. One Spund is the weight of a mass of one Zerf on the surface of Mars. The gravitational acceleration on Mars is 3.7 m/s?. a.) What is gc in the alien system of units? Be sure to include the numerical value and the units. b.) How much would a 350 Zerf object weigh on the surface of Mars, in Spunds? c.) How much would a 350 Zerf object weigh on the surface of the Earth, in Spunds? d.) To which system of units is the Zerf-Spund system most similar, Sl or AE?Newton’s law of universal gravitation is represented byF = G Mm r 2where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s 2 . What are the SI units of the proportionality constant G?
- 3. Watch Segment D (Vectors and Scalars), Segment E (Graphical Resolution of Vectors) and Segment F (Mathematic Resolution of Vectors) at https://www.gpb.org/physics-in-motion (The GPB Physics In Motion video series). Then write answers to the following questions, showing all your calculations. [a] A child with mass Y kilograms (kg) who is skating westward in a hockey rink at Y centimeters per second (cm/s) runs into a friend, also with mass Y kg, who is skating southward at Z cm/s. The children grab onto each other and keep moving across the ice. Draw a diagram of this interaction; label the relevant objects, quantities, and velocity vectors pre- and post- collision. Y =18 kq =mass Z=48 cm/s [b] What is the velocity (magnitude and direction) of the two children after they collide? Your answer should be significant to two digits.Question Bank – Units and Measurements - The universal gravitational constant, whose physical significance is G = 66.74 x 10-12 m³/kg-s?/. Express G in base U.S. Customary units. Answer in ft /(lb-s2)2. #7: The escape velocity from a planet of radius R is v(R) = gravitational constant and M is the mass. Find the inverse of v expressing R in terms of v. 2GM R where G is the universal
- a. Calculate the gravitational force of attraction between the Earth and the Sun if the Sunhas a mass of 1.989 x 1030 kg and is a distance of 149.6 million kilometres from theEarth. b. How would you expect the gravitational force between you and your friend tocompare to your answer from question 1 if you stood 1 metre apart? Explain.32. At a given point above the surface of the Earth, the gravitational acceleration is equal to 5.4 m/s². Take the Earth mass M = 5.97x1024 kg and radius R = 6378 km. The altitude of this point, above the surface of the Earth, in km, is closest to: 33. What does the scale read? (Hint: t = rxF) a. 6900 b. 2800 C. 4200 d. 5700 e. 2200 a. b. C. d. a. b. C. d. e. C. 34. A solid cylinder of 5 cm radius is positioned on a frictionless plane inclined at 30 degrees above horizontal. A force F is exerted by a string wrapped around the spool. When F has a certain critical value the center of mass of spool does not move. When this is the case, what is the angular acceleration of the spool? (Hint: t = la) 0001 1910 a. b. e. 500 N 1000 N 2000 N 4000 N 392 rad/s² 340 rad/s² 260 rad/s² 196 rad/s² 98 rad/s² Scale 30" Massless rod 1000 N 4.05 138 35. Two buckets spin around in a horizontal circle on frictionless bearings. Suddenly, it starts to rain. As result, The buckets speed up because the…云2 A eclass.yorku.ca U PHYS18... M (2,045)... M(98) - fa.. 105-Fe... Future S. U of Study... Ly Assignm... YouTube M(2,045)... HYS1800 A - Engineering Mechanics (Fall 2021-2022) My courses / SC/PHYS1800 A - Engineering Mechanics (Fall 2021-2022) / Work and Energy / Assignment 6 A car travels at a steady 30.3 m/s around a horizontal curve of radius 111 m. What is the minimum coefficient of static friction between the road and the car's tires that will allow the car to travel at this speed without sliding? Answer: Next page MacBook Air DD 08 F3 64 F5 F6 F4 F2
- Determine the dimensions of the following in terms of the base dimensionsof a gravitational [FLT] system of units: (a) mv2; (b) mv; and (c) ma. Thedimensions of the variables are [m] = [M], [v] = [L/T ] and a = [L/T 2].Ex. 13 : Assuming the earth to be a homogeneous sphere, determine the density of the earth from following data: g=D9.8 m/s', G 6.673 x 1011 Nm/kg², R = 6400 kmAccording to Newton's law of universal gravitation, the attraction force between two bodies is given by: where mi and m2 are the masses of the bodies, r is the distance between the bodies, and G=6.67 × 10-" N-m²/kg² is the universal gravitational constant. Determine how many times the attraction force between the sun and the Earth is larger than the attraction force between the Earth and the moon. The distance between the sun and Earth is 149.6 x 10°m, the distance 28 between the moon and Earth is 384.4 × 10°m, mEarth = 5.98 x 10“ kg, = 2.0 x 10" kg, and mn =7.36 x 102 kg.