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 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 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 ball of mass m and radius r rolls along a circular path of radius R its speed at the bottom (theta=0^(@)) of the path is v_(0) find the force of the path on the ball as a function of theta .

A ball of mass m and radius r rolls along a circular path of radius R its speed at the bottom (theta=0^(@)) of the path is v_(0) find the force of the path on the ball as a function of theta .

A small asteroid is approaching a planet of mass M and radius R from a large distance. Initially its velocity (u) is along a tangent to the surface of the planet. It fall on the surface making an angle of 30^(2) with the vertical. Calculate u.

The moment of inertia of a disc of mass M and radius R about an axis. Which is tangential to sircumference of disc and parallel to its diameter is.

The moment of inertia of a disc of mass M and radius R about an axis. Which is tangential to sircumference of disc and parallel to its diameter is.

A spaceship is sent to investigate a planet of mass M and radius R . While hanging motionless in space at a distance 5R from the centre of the planet, the spaceship fires an instrument package of mass m , which is much smaller than the mass of the spaceship. For what angle theta will the package just graze the surface of the planet?