Consider the following system:

If the mass is and , what is the tension, ? Assume no frictional forces.

Earth mass:

Earth's distance from the Sun:

Velocity of the Earth:

Imagine that, instead of gravity, the earth was attached to the sun with a giant, unbreakable rope. Determine what the tension would be in the rope.

Suppose that a object is lifted upwards while hanging to a rope. If the object accelerates upwards at a rate of , what is the tension in the rope?

Two objects of equivalent mass are attached with a very strong rope that goes through a pulley. The masses are left to hang. What will happen?

A toy is held to a hook on the ceiling with fishing line, determine the tension in the line.

Suppose that a person is pulling a box tied to a string across the ground, as shown in the diagram below.

If the string is situated at an angle of with respect to the horizontal and the coefficient of kinetic friction of the box with respect to the ground is , what tension in the string is necessary so that the box moves at a constant speed?

A helicopter is lifting a box of mass with a rope. The helicopter and box are accelerating upward at . Determine the tension in the rope.

An elevator accelerates upward for a short period of time at a rate of . A mass of is hung by a rope from the top of the elevator.

During the period when the elevator is accelerating, what is the magnitude of the tension in the rope?

What is the tension force on a wire holding a 10kg ball 20ft above the ground, if the ball is not moving at that height?

Jennifer has a mass of and is swinging on a long rope at . Determine the tension in the rope at the bottom of her swing.