A spaceship approaches the Moon along a parabolic trajectory which is almost tangent to the Moon's surface. At the moment of the maximum approach the brake rocket was fired for a short time interval, and the spaceship was transferred into a circular orbit of a Moon satellic. Find how the spaceship velocity modulus increased in the process of braking.

A spaceship approaches the Moon (mass = M and radius = R along a parabolic path which is almost tangential to its surface. At the moment of the maximum approach, the brake rocket is fired to convert the spaceship into a satellite of the Moon. Find the change in speed.

A spaceship approaches the Moon (mass = M and radius = R along a parabolic path which is almost tangential to its surface. At the moment of the maximum approach, the brake rocket is fired to convert the spaceship into a satellite of the Moon. Find the change in speed.

A launching pad with a spaceship is moving along a circular orbit of the moon, whose radius R is triple that of moon Rm . The ship leaves the launching pad with a relative velocity equal to the launching pad's initial orbital velocity vec(v)_(0) and the launching pad then falls to the moon. Determine the angle theta with the horizontal at which the launching pad crashes into the surface it its mass is twice that of the spaceship m .

An artificial satelite of the moon revolves in a circular orbit whose radius exceeds the radius of the moon eta times. The process of motion the satelite experiences a slight resistance due to cosmic dust. Assuming the resistance force to depend on the velocity of the satellite as F=alphav^2 , where alpha is a constant, find how long the satellite will stay in orbit until it falls onto the moon's surface.