A satellite is put into orbit 37,000 km above the Earth's surface and has a kinetic energy of 105 MJ.What is the mass of the satellite?

Question

Quizplus · Accepted Answer

The correct answer is A because the kinetic energy of the satellite is 105 MJ and the height of the satellite is 37,000 km above the Earth's surface. The mass of the satellite can be calculated using the formula:KE = 1/2 * mv^2where KE is the kinetic energy, m is the mass, and v is the velocity.The velocity of the satellite can be calculated using the formula:v = sqrt(2 * GM / r)where G is the gravitational constant, M is the mass of the Earth, and r is the distance between the satellite and the center of the Earth.Substituting the values into the formulas, we get:105 MJ = 1/2 * m * (sqrt(2 * 6.674e-11 * 5.972e24 / (6.371e6 + 37000e3)))^2Solving for m, we get:m = 23 kg

A Satellite Is Put into Orbit 37,000 Km Above the Earth's