Exam 13: Gravitation

Two particles, each of mass m, are a distance d apart.To bring a third particle, with mass 2m, from far away to a resting point midway between the two particles, an external agent must do work equal to:

In the formula F = Gm₁m₂/r², the quantity G:

Let F₁ be the magnitude of the gravitational force exerted on the Sun by Earth and F₂ be the magnitude of the force exerted on Earth by the Sun.Then:

An artificial Earth satellite is moved from a circular orbit with radius R to a circular orbit with radius 2R.During this move:

If Earth were to rotate only 100 times per year about its axis:

A planet is in circular orbit around the Sun.Its distance from the Sun is four times the average distance of Earth from the Sun.The period of this planet is:

The mass of a hypothetical planet is 1/100 that of Earth and its radius is 1/4 that of Earth.If a person weighs 600 N on Earth, what would he weigh on this planet?

In order to fire a projectile upward and have it escape the Earth's gravity,

In planetary motion the line from the star to the planet sweeps out equal areas in equal times.This is a direct consequence of:

Neglecting air resistance, a 1.0-kg projectile has an escape velocity of about 11 km/s at the surface of Earth.The corresponding escape velocity for a 2.0 kg projectile is:

An artificial Earth satellite is moved from a circular orbit with radius R to a circular orbit with radius 2R.During this move:

An artificial satellite of the Earth releases a bomb.Neglecting air resistance, the bomb will:

A planet travels in an elliptical orbit about a star X as shown.The magnitude of the acceleration of the planet is:

Planet 1 and planet 2 are both in circular orbits around the same central star.The orbit of planet 2 has a radius that is much larger than the radius of the orbit of planet 1.This means that:

For a planet in orbit around a star the perihelion distance is r_p and its speed at perihelion is v_p.The aphelion distance is r_a and its speed at aphelion is v_a.Which of following is true?

Of the following where would the weight of an object be the least?

Einstein's principle of equivalence states:

In Einstein's theory of gravitation, gravity is due to:

An object is raised from the surface of Earth to a height of two Earth radii above Earth.Then:

Suitable units for the gravitational constant G are: