Exam 10: Projectile and Satellite Motion

While an airplane flies at 40 m/s at an altitude of 500 meters, the pilot drops a heavy package that falls to the ground. Neglecting air drag, about where does the package land relative to the plane flying above?

A bullet fired horizontally from a rifle begins to fall

The speed of a satellite orbiting Earth is given by v = √(GM/d). Escape speed from Earth is given by v = √(2GM/d), where in both cases G is the gravitational constant, M is Earth's mass, and d is distance from Earth's center. If a satellite's kinetic energy were doubled it could

The circular path of a satellite orbiting Earth is characterized by a constant

Consider a monkey wrench released at rest at the far edge of the solar system. Suppose that it drops to Earth by virtue of only Earth gravity. It will strike Earth's surface with a speed of about

A projectile is launched from ground level at 15° above the horizontal and lands downrange. What other projection angle for the same speed would produce the same down-range distance?

Our Moon in Earth orbit travels fastest when it is

The radial velocity of an Earth satellite is its velocity

A planet orbiting the Sun has speed v = √(GM/d). Escape speed from the Sun is v = √v(2GM/d), where G is the gravitational constant, M is Sun's mass, and d is the distance from the Sun. Noting that this tells us that escape speed is √2 times orbital speed, which planet would fly out of the solar system by a 1.5 increase in orbital speed?

Which would require the greater energy; slowing the orbital speed of a satellite so it crashes into Earth, or increasing the orbital speed so it escapes Earth?

Acceleration due to gravity on the Moon is less than on Earth, and the Moon is smaller than Earth. This means that compared to an Earth satellite, a satellite in close orbit about the Moon would travel

A dropped ball gains speed because

A satellite in an elliptical orbit about a planet travels much faster when it is directly over a

When air drag affects the motion of projectiles, they don't travel

A hunter on level ground fires a bullet at an angle of 10 degrees above the horizontal while simultaneously dropping another bullet from the level of the rifle. Which bullet will hit the ground first?

According to Kepler, the orbital period of a planet is directly proportional to the

Which of these vary for satellites in circular orbits?

A projectile that is fired vertically from the surface of Earth at 8 km/s will

Consider a moon that orbits one of our most distant planets in an elliptical path. The distance that the moon covers each day is

Planets would crash into the Sun if it weren't for