Askydiver of mass m jumps from a hot air balloon and falls a distance d before reaching a terminal velocity of magnitude v. assume that the magnitude of the acceleration due to gravity is g. part a what is the work wd done on the skydiver, over the distance d, by the drag force of the air? express the work in terms of d, v, m, and the magnitude of the acceleration due to gravity g.

The work done by the drag force on the skydiver over the distance is  .

Further Explanation:

The skydiver dives from the hot air balloon and falls freely under gravity and attains the terminal velocity. The skydiver attains the kinetic energy and some of the energy attained is lost in overcoming the drag force.

The amount of energy lost by the skydiver is the work done by the drag force.

The kinetic energy of the skydiver as he falls with speed is:

The potential energy lost by the skydiver due to the decrease in height is:

Therefore, according to work energy theorem, the amount of work done by drag force is equal to the change in energy.

Here, is the work done by the drag force.

Substitute the values of and in above expression.

Thus, the work done by the drag force on the skydiver over the distance is

Learn More:

1. You are riding on a roller coaster that starts from rest at a height of 25.0 mhttps://

2. It's been a great day of new, frictionless snow. Julie starts at the tophttps://

3. The amount of kinetic energy an object has depends on its

Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Conservation of Energy

Keywords:  Skydiver, terminal velocity, drag force, work energy theorem, work done, magnitude, air drag, acceleration due to gravity.

the independent variable, or the one that is intentionally manipulated is the speed.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.