module 13 experimnt

Situation 1: A man decided to do experiments on how gravitational acceleration changes with respect to his location. Suppose the radius of the earth is 6,371 km. Calculate the gravitational acceleration when he is 13,500 m above the surface of the earth. a. b. 10.7686 m/s² 9.7686 m/s² 7.7686 m/s² 8.7686 m/s² Calculate the gravitational acceleration when he is 50,000 m below the surface of the earth. a. b. 9.133 m/s² 9.433 m/s² C. d. 1,384,121,953 1,184,221,853 C. d. Coulomb's Law The force between two identical charges separated by 1.2 cm is equal to 100 N. What is the magnitude of the two charges? a. 1.1626 x 10-C 1.3636 x 10 C b. 1.2656 x 10 C d. 1.0646 x 10 C Two neutrally charged bodies are separated by 2 cm. Electrons are removed from one body and placed on the second body until a force of 1.13 x 10° N is generated between them. How many electrons were transferred between the bodies? (Charge of a single electron, e = 1.62 x 10-¹9 C) a. b. C. d. 9.833 m/s² 9.733 m/s² C. d.…

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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.

2. Star A is twice as massive as star B. A B a. Which star experiences a larger magnitude of gravitational force from the other star? Explain. b. As the stars move towards each other under the influence of the gravitational force, which experiences an acceleration of greater magnitude? Explain.

Macmillan Learning One of your summer lunar space camp activities is to launch a 1190 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 203 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively. AU = 28777600000 Incorrect

Rank the magnitudes of the following gravitational forces from largest to smallest. If two forces are equal,show their equality in your list. (5 points)a. the force exerted by a 2-kg object on a 3-kg object 1 m awayb. the force exerted by a 2-kg object on a 9-kg object 1 m awayc. the force exerted by a 2-kg object on a 9-kg object 2 m awayd. the force exerted by a 9-kg object on a 2-kg object 2 m awaye. the force exerted by a 4-kg object on another 4-kg object 2 m away

You are a scientist exploring a mysterious planet. You have performed measurements and know the following things: The planet has radius d. It is orbiting his star in a circular orbit of radius b. it takes time T to complete one orbit around the star. the free-fall acceleration on the surface of the planet is a.  Derive an expression for the mass Mp of the planet in terms of a,d, G the universal gravitational constant. Assume that the gravitational effect of the star at the planet's surface is negligible.

Gravitational force due to a mass The gravitational force on a point mass m due to a point mass M is a gradient field with potential U(r) = GMm/r, where G is the gravitational constant %3D and r = Vx? + y? + z² is the distance between the masses. a. Find the components of the gravitational force in the x-, y-, and z-directions, where F(x, y, z) = –VU(x, y, z). b. Show that the gravitational force points in the radial direction (outward from point mass M) and the radial component is F(r) = GMm/r². c. Show that the vector field is orthogonal to the equipotential surfaces at all points in the domain of U.

Chapter 13, Problem 019 X Incorrect. At what altitude above Earth's surface would the gravitational acceleration be 4.30 m/s2? (Take the Earth's radius as 6370 km.) Number T6780.2 Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT LINK TO SAMPLE PROBLEM MATH HELP Question Attempts: Unlimited SAVE FOR o search

1. Consider the following figure. M P a M (a)Compute the vector gravitational field at a point P on the perpendicular bisector of the line joining two objects of equal mass separated by a distance 2a as shown in the figure above. 2GMT (you should get g (r2 + a²)?? (b) Explain physically why the field should approach zero as r 0. (c) Prove mathematically that the answer to part (a) behaves in this way. (d) Explain physically why the magnitude of the field should 2GM approach -as r → O0. r2 (e) Prove mathematically that the answer to part (a) behaves correctly in this limit.

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b. Consider a large massive spherical shell object. With all of its mass M is distributed at its radius R (shown in the figure). Draw a schematic graph of gravitational force and corresponding gravitational potential energy experienced by another object m at a distance r, where the distance varies as, r → 0 to r → ∞. Figure 4: Question 3(b) Two masses system

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Problem 10:  You are a scientist exploring a mysterious planet. You have performed measurements and know the following things: •The planet has radius d.•It is orbiting his star in a circular orbit of radius b.•It takes time T to complete one orbit around the star.•The free-fall acceleration on the surface of the planet is a.  a)Derive an expression for the mass MS of the star in terms of b, T, and G the universal gravitational constant.

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).

GQ6

Please solve for the following

a. Calculate the escape velocity of our solar system, from the surface of the sun. b. What velocity would an object leaving Earth need, to escape from our solar system? (ignore the gravitational effect from Earth and other planets for a & b)

A 1500 kg satellite is in orbit around the Moon at a distance of 3 Moon radii above the surface of the Moon. The Moon's mass is 7.35×10^22 kg. and its radius is 1.74×10^6 m.  a). Draw a sketch of the scenario.  b). Use your sketch to calculate the magnitude of the gravitational force acting on the satellite.

r M M m 1. What is the gravitational potential energy of the mass (m) in the picture? The mass is the same distance away r from the centers of both of the other masses, and both of the other masses have the same mass, M. Give your answer in Joules. r = 400 million meters = 7x10²2 kg М - 2x1027 kg

Pluto has a mass of 1.3x1023kg, and a radius of 1.15x106m. a.Determine the gravitational field strength on the surface of Pluto. b.Determine the gravitational field strength 5.4x105m from the surface of the planet. c. If a 2000kg spacecraftis located at the positionmentioned in the previous question, how fast would the spacecraftneed to travel to orbit Pluto in a circular orbit?