Question 1
(a)What is the angular frequency of a satellite that orbits the Earth just above the surface? Ignore air resistance . Radius of Earth is Re and centripetal acceleration is ac = (v2)/R. The acceleration at Earth's surface is a = g = (GMe)/(Re2) where Me = mass of Earth. Keep your answer in terms of G, Me, Re.
(b) How long would it take you to fall through the center of the Earth and come out the other side? Assume no friction , no Earth rotation, and that the Earth is of uniform density. So M(r) = Me(r/Re)3 for r<Re. Again keep you answer in terms of G, Me, Re.
(c) Now yo dig a tunnel that doesn't go through the tunnel. Again, ignore friction and assume the Earth is of unifrom density. Hint: note that sin = y/r
we can find the angular frequency of satellite by providing gravitational force as a centripetal force and time by equation of simple harmonic motion as solved below
Question 1 (a)What is the angular frequency of a satellite that orbits the Earth just above...
A satellite m = 500 kg orbits the earth at a distance d = 218 km, above the surface of the planet. The radius of the earth is re = 6.38 × 106 m and the gravitational constant G = 6.67 × 10-11 N m2/kg2 and the Earth's mass is me = 5.98 × 1024 kg. What is the speed of the satellite in m/s?
Suppose a satellite was orbiting the Earth just above the surface. What is its centripetal acceleration? Smaller thang Equal to 3 Larger than Impossible to say without knowing the mass A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of the acceleration due to gravity at the Earth? The acceleration of gravity on the Moon is...
Q1: A 1 036-kg satellite orbits the Earth at a constant altitude of 93-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 203 km? MJ (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? MJ Q2: A 475 kg satellite is in a circular orbit at an altitude of 575 km above the Earth's surface. Because...
Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of G, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how fast...
4. Consider a satellite of mass m moving in a circular orbit around the Earth at a constant speed v and at an altitude h above the Earth's surface as illustrated in the figure. (a) Determine the speed of the satellite in terms of g, h, Re (the radius of the Earth), and Me (the mass of the Earth). (b) If the satellite is to be geosynchronous (that is, appearing to remain over a fixed position on the Earth), how...
Question 1 of 10 > Attempt 4 Consider a 495 kg satellite in a circular orbit at a distance of 3.07 x 10 km above the Earth's surface. What is the minimum amount of work W the satellite's thrusters must do to raise the satellite to a geosynchronous orbit? Geosynchronous orbits occur at approximately 3.60 x 10 km above the Earth's surface. The radius of the Earth and the mass of the Earth are Re = 6,37 x 10 km...
please help me answer this question PHY Homework. • Equations are in a separate document entitled "Equations for Rotational Dynamics Assignment" • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to have correctly used the data. • Units must be specified for any...
Question 1 of 10 > Attempt 2 - Consider a 455 kg satellite in a circular orbit at a distance of 3.06 x 10 km above the Earth's surface. What is the minimum amount of work W the satellite's thrusters must do to raise the satellite to a geosynchronous orbit Geosynchronous orbits occur at approximately 3.60 x 10 km above the Earth's surface. The radius of the Earth and the mass of the Earth are Rę = 6.37 x 10...
A long, horizontal wire is carrying a current 1. A particle of mass m and charge q is fired horizontally at a speed vo. The initial velocity of the particle is parallel to the wire, and its initial position is a distancer directly below the wire, as shown in (Figure 1). What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of l, m, q, r,...
PLEASE SHOW ALL WORK. THANKS. III, SIMPLE HARMONIC HECK (30 pts: 10 pts each piece), The statements immediately to follow (even when long and complicated) are considered in this context) GIVEN You may assume and rely on them for the problem/proof to follow a bit further down. Note: In some cases, "GIVEN' might mean 'self-evident' or 'obvious', but in other cases, it might not. GIVEN might not mean "obvious"; it can simply mean 'somehow established prior to this discussion'. GIVEN...