Exam 11: Gravity,planetary Orbits,and the Hydrogen Atom

The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

In an isolated system of two bodies that exert gravitational forces on one another,the quantity (quantities)that remain(s)constant is(are)

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 *10⁷ m^-1. )

An object is released from rest at a distance h above the surface of a planet (mass = M,radius = R < h).With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

Two satellites are placed in geosynchronous orbits,orbits with a period of 24 hours,where each satellite hovers over a spot on the Earth's equator.Satellite B has three times the mass of satellite A.What is the relationship between the magnitudes of the gravitational forces of the Earth on the two satellites?

Which of the following quantities is conserved for a planet orbiting a star in a circular orbit? Only the planet itself is to be taken as the system;the star is not included.

Suppose the gravitational force of the Earth on a body was $F = - \frac { K M _ { E } m } { r ^ { 3 } }$ .What escape velocity v_e would a body need to escape the gravitational field of the Earth?

Suppose Bohr had chosen the potential energy of the electron in the hydrogen atom to be V = 0 when the electron is in the orbit with n = 1.He could do this by

A spaceship of mass m circles a planet (mass = M)in an orbit of radius R.How much energy is required to transfer the spaceship to a circular orbit of radius 3R?

Two identical planets orbit a star in concentric circular orbits in the star's equatorial plane.Of the two,the planet that is farther from the star must have

A satellite of mass m circles a planet of mass M and radius R in an orbit at a height 2R above the surface of the planet.What minimum energy is required to change the orbit to one for which the height of the satellite is 3R above the surface of the planet?

Planet Zero has a mass of 4.0 F*10²³ kg and a radius of 2.0 *10⁶ m.A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 *10⁷ J.What maximum distance from the center of Zero is achieved by the probe?

Carla and Jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth.Carla shows Jenny a system where mass m is r_E (not the Earth's radius)distant from Earth and r_P (not planet P's radius)distant from planet P,the mass being on the line connecting the Earth and planet P.Carla states that the mass m has escaped if F_{P on m} = -F_{E on m}.Jenny disagrees.Which one,if either,is correct,and why?

A hydrogen atom emits a photon of wavelength 657.7 nm.From what energy state to what lower energy state did the electron jump?

An asteroid revolves around the Sun with a perihelion 0.5 AU and an aphelion of 7.5 AU.What is its period of revolution?

An electron in a hydrogen atom makes a transition from the n = 3 to the n = 1 energy state.Determine the wavelength of the emitted photon (in nm).

When two solid spheres of the same material and same radius r are in contact,the magnitude of the gravitational force each exerts on the other is directly proportional to

What is the escape speed from a planet of mass M and radius R if M = 3.2 * 10²³ kg and R = 2.4 * 10⁶ m?

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse.When the planet is at point A,

A 50-kg satellite circles the Earth in an orbit with a period of 120 min.What minimum energy is required to change the orbit to another circular orbit with a period of 180 min? (Earth: radius = 6.4 * 10⁶ m,mass = 6.0 *10²⁴ kg)