Identify each type of energy as mechanical or non-mechanical.

- Kinetic energy

- Gravitational potential energy

Explanation:

The term 'mechanical energy' refers to the sum of the kinetic energy and the gravitational potential energy of an object, therefore all the other choices are excluded.

The kinetic energy of an object is the "energy of motion", and it is given by:

where m is the mass of the object and v is its speed.

The gravitational potential energy of an object is the potential energy that it has because of its height above the ground, and it is given by

where m is the mass, g is the gravitational acceleration and h is the height above the ground.

The sum of these two energies makes the mechanical energy of an object:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west