67. I carve out a small spherical volume V somewhere inside a uniform solid sphere. Show that the gravitational field in this void is uniform by calculating the force on a small test mass in the void (Figure P13.67). • Figure P13.67 m
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- In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 1.20 kg and 12.0 g whose centers are separated by about 4.90 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere. Need Help? Master It Read ItExample 4. A satellite is orbiting a circular orbit at an altitude of 900 km, at which atmosphere density is 5.46 x 10-13kg/m³. The satellite has mass 150kg, cross sectional area 1.50m², and drag coefficient 2. a) Calculate the rate of change of orbit radius da/dt in units of m/s. b) Make an estimate of the time (in years) that will take the satellite to reach the Earth.How far below the surface of a body of liquid is it necessary to immerse the upper edge of a vertical surface , 1 m square , two edges of which are horizontal, so that the eccentricity of the hydrostatic force on one face of it will be 2.50 cm? include your free body diagram. a.2.52 m b.2.83 m c.4.12 m d.3.21 m
- We all know the Earth exerts gravity on us, but other objects in the solar system also pull on us. In the following series of problems we will investigate how strong gravity is for a person standing on the surface of the Earth from various objects in the solar system. You can answer the following series of questions using Newton's Law of Gravity; use the units given and the Gravitational Constant, G = 6.67 ×10 -11 m 3 /kg/s 2 10: What is the force of gravity due to the Moon on a 60.0 kg ASTR 110 student standing on the equator during Spring Break. DATA: mean distance to the Moon 3.84×108 meters; mass of the Moon 7.36×1022 kg. using the right formula: Fg = (G M1 M2 / d^2)I Review I Constants A uniform, solid, 1900.0 kg sphere has a radius of 5.00 m. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Journey to the center of the earth. Find the gravitational force this sphere exerts on a 1.70 kg point mass placed at the following distances from the center of the sphere 5.03 m. Express your answer in newtons. ΑΣφ ? F = N Submit Request Answer Part B Find the gravitational force this sphere exerts on a 1.70 kg point mass placed at the following distances from the center of the sphere 2.30 m. Express your answer in newtons. ? F = NPRINTER VERSION 1 BACK NEXT Chapter 13, Problem 025 Your answer is partially correct. Try again. A solid sphere of uniform density has a mass of 8.7 x 104 kg and a radius of 1.2 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 6.5 kg located at a distance of (a) 4.2 m and (b) 0.34 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance rs 1.2 m from the center of the sphere. (a) Number 2.139E-6 Units (b) Number 2.36E-6 Units (c) |Fon m = k•r, where k = 2.184E-5 IN/m Click if you would like to Show Work for this question: Open Show Work
- We all know the Earth exerts gravity on us, but other objects in the solar system also pull on us. In the following series of problems we will investigate how strong gravity is for a person standing on the surface of the Earth from various objects in the solar system. You can answer the following series of questions using Newton's Law of Gravity; use the units given and the Gravitational Constant, G = 6.67 ×10 -11 m 3 /kg/s 212: Some people claim that the location of Jupiter can have dramatic consequences on human events on Earth. For comparison to the last problem, what is the force of gravity due to a 100 kg person hugging a 60.0 kg ASTR 110 student. Assume the distance between the students is 0.3 meters.using the right formula: Fg = (G M1 M2 / d^2)Please show method and answerDetermine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. Assume a = 5.0, b = 2.7, 0-38. y 1 j) (108) N aR Titanium Answer: F = (i R Copper bR -x i+ i
- q24 As part of the SLE123 assignment, one group makes a manometer using olive oil because it is much less hazardous than mercury. density of mercury = 13 600 kg/m3 density of olive oil = 917 kg/m3 Briefly comment on the effectiveness of the olive-oil manometer compared to a normal mercury manometer, and any challenges making one. Hint: In your answer, make sure that the comment is related to a physics principle covered in this unit.Black Hole Gravity III. If a person is falling feet first into a black hole, her feet are at the Schwarzschild radius, and her head is outside the radius by an additional 2 m, what is the approximate ratio of the gravitational acceleration felt at her feet compared to the gravitational acceleration felt at her head? Would she be stretched and squished differently at her head and feet? Assume the gravitational acceleration is g = GM⁄r2.A rack of seven spherical bolwing balls (each 7.00 kg, radius of 10.2 cm) is positioned along a line located a distance ?=0.820 m from a point P, as shown in the figure. Calculate the gravitational force F the bowling balls exert on a ping-pong ball of mass 2.70 g, centered at point P.