How much work is required to lift a 1000-kg satellite to an altitude of 3⋅10^6 m above the surface of the Earth? The gravitational force is ?=???/?^2, where ? is the mass of the Earth, ? is the mass of the satellite, and ? is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4⋅10^6 m, its mass is 6⋅10^24 kg, and in these units the gravitational constant, ?, is 6.67⋅10^−11.

Q: The three spheres in the figure, with masses m. = 77 g, ma = 8 g, and m, = 23 g, have their centers…

A: Given : mass of sphere A mA = 77 g = 0.077 kg            mass of sphere B, mB = 8 g   = 0.008 kg…

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

A:

Q: A mass M is split into two parts, m and M - m, which are then separated by a certain distance. What…

A: The gravitational potential energy(U) for a system of two masses m1 and m2 separated by a distance…

Q: Distance from E, centre of earth R. 2R. 3R. 4R. 6R. 8R. Really, really far Note! Really, really far…

A:

Q: The potential energy is dependent with height h from the surface of the earth while the kinetic…

A: The mathematical expression of potential energy is : PE = mgh Here, m is the mass of the object, g…

Q: What is the variation of the gravitational potential energy of the Earth in orbit around the Sun…

A:

Q: A 5 kg book is held 10 meters above the floor. How much gravitational potential energy does it have?…

A: Mass(m) = 5 kg Height(h) = 10 m Potential energy (E) = mgh g = gravitational acceleration g = 9.8…

Q: Chapter 13, Problem 037 GO The three spheres in the figure, with masses ma = 76 g, mg = 10 g, and mc…

A: Given that mass of the sphere A and sphere B and sphere C and also given the length and distance of…

Q: An astronaut, with a total weight on Earth of 1.2 x 103 N, including the space suit, is about to…

A:

Q: 36.) When a 2.0 kg science textbook is sitting on a table that is 2.0 meters above the floor, how…

A: It is given that,

Q: Planet Apes has an acceleration due to gravity of 2.0m/s2. What is the potential energy of a 1.0-kg…

A:

Q: Three balls of mass M, 2M, and 5M are arranged as shown below. What is the direction of the net…

A: Given masses are, 5M 2M M

Q: as the vertical distance of the The potential energy of an object same object from the surface of…

A:

Q: An astronaut working on the Moon tries to determine the gravitational constant G by throwing a Moon…

A: a) Write the expression for the gravitational potential energy at a distance r. Here, G represents…

Q: A 6260-kg satellite is in a circular earth orbit that has a radius of 3.17 x 10' m. A net external…

A:

Q: A 415kg satellite orbiting the earth experiences 215N of gravitational force from the Earth.…

A: Ms = 415 kg F = 215 N RE = 6.38 x 106 m ME = 5.97 x 1024 kg H = ? U = ? 6.673×10−11N

Q: Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v = 3.5x10…

A: Given: The mass of the meteoroid is 0.86×109kg. The mass of the planet is 8.4×1025kg. The radius of…

Q: 39.) Given a box of mass 6.00 kg at a height of 4.00 meters above the floor. The box has…

A: Mass of the box,

Q: A mass m placed at a height h from the ground has a gravitational potential energy PE, (with respect…

A:

Q: object is lowered into a deep hole in the surface of the earth, which of the following must be…

A: Gravitational potential energy = -Gm1 m2 /r

Q: 7. A 4000-kg spaceship is in a circular orbit 160 km above the surface of the Earth. It needs to be…

A: Given: Mass of spaceship m=4000 kg Height  h1=160 km=160×103 m Height  h2=360 km=360×103 m Standard…

Q: Three different objects, all with different masses, are initially at rest at the bottom of a set of…

A: Given Values, Mass (m1)=4.60 m Mass (m2)=2.21 m mass (m3)=m

Q: A car is traveling at 40 m/s when the driver slams on the brakes and brings it to a straight-line…

A: Given that,u=40 msv=0t=4.2 sa=?

Q: Acontainer with a mass of 5 kg is lifted to a height of 8 m How much work is done by the…

A: Given, Mass, m=5 kg Height, h=8 m To Find: Work done by gravitational force and external force…

Q: A 30.00 kg box slides up a 12.00 meter long incline at an angle of 30.00 degrees above the…

A: Given, mass of the box, m = 30.00 kg length of the inclined plane, L = 12.00 m angle of inclination…

Q: A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in…

A:

Q: A 6260-kg satellite is in a circular earth orbit that has a radius of 3.17 × 107 m. A net external…

A: Given data: -  The mass of the satellite is ms = 6260 kg. The radius of circular earth orbit is re…

Q: In each of the following five situations, a small object starts from a certain height and ends up on…

A:

Q: The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47 x…

A:

Q: What is the gravitational potential energy of a 4.0 kg block that is raised 2.50 m from the ground?…

A:

Q: As the object moves from point A to point D across the surface, the sum of its gravitational…

A:

Q: A system consists of six particles. How many terms appear in the expression for the total…

A: The answer is 15 Total gravitational potential energy of the system masses combinations is…

Q: Chapter 13, Problem 037 GO The three spheres in the figure, with masses ma = 73 g, mg = 8 g, and mc…

A:

Q: Choose the correct answer A mass m placed at a height h from the ground has a gravitational…

A: Scenario : A mass m is at a height h from ground . Given: Mass m'=2m Height h'=0.5h

Q: On Mars, a ball is rolling from a ground to a hill, and we know the height of the hill, Z, is 10 m,…

A: The total energy of any object consists of its kinetic energy and its potential energy.  Kinetic…

Q: Zero, a hypothetical planet, has a mass of 4.6 x 1023 kg, a radius of 3.3 x 106 m, and no…

A: Given data:Mass of the hypothetical planet, M = 4.6 x 1023 kgRadius, R = 3.3 x 106 mMass of the…

Q: A spoon is raised 21.0 cm above a table. If the spoon and its contents have a mass of 30.0 g, what…

A:

Q: A rock of 3.2 kg is lifted to a height of 6.7 m from the surface of the planet. The work done is 60…

A: In the given question, Work done (W) is 60 J when the rock of mass 3.2kg is lifted to a height of…

Q: Zero, a hypothetical planet, has a mass of 4.5 x 1023 kg, a radius of 3.2 x 106 m, and no…

A: The Gravitational Force is a Conservative Force, therefore the total energy E will be conserved. We…

Q: I Review I A 4500 kg spacecraft is in a circular orbit 1500 km above the surface of Mars (my = 6.42…

A: The work done is given by  W = - G M m1r2-1r1 where, M is the mass of planet , m is the mass of…

Q: Calculate the work W against gravity required to build a hemisphere with base of radius 0.4 m out of…

A: Consider an disk element at height y from the base. The area of the disk is A(y) = πx2 = π(r2-y2)…

Q: A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in…

A: Given information: Weight of the lunar module on surface of the earth (We) = 12 metric-ton The…

Q: Zero, a hypothetical planet, has a mass of 4.7 x 1023 kg, a radius of 3.2 x 106 m, and no…

A:

Q: lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in propelling…

A: Given: h=80 miles Force of gravity on the surface of earth =12 metric tons. mgearth=16mgmoon…

Q: Denisse is playing a pinball machine. she notices that the 0.012 kg ball is shot from the plunger…

A: Given data:  Mass of ball (m) = 0.012 kg Radius of circular path (r) = 0.22 m Centripetal force (Fc)…

Q: What is the height of an object that has a mass of 3.50 kg and a gravitational potential energy of…

A: Given data:  Mass (m) = 3.50 kg Potential Energy (PE) = 546 J Required: Height (h)