# Work and Energy - Mission WE10 Detailed Help

 A 500-kg roller coaster car starts at rest from a height of 45 meters (A). At B, it is moving with a speed of 20 m/s and is elevated to a height of 10 meters. Use g = 10 N/kg to perform an energy analysis and fill in all the blanks. (Note: Your numbers were randomly selected and likely different from the numbers listed here.)
 Work - Mechanical Energy Relationships: If non-conservative forces do net work upon an object, then the total mechanical energy of that object is changed. The sum of the kinetic and potential energies will change as work is done upon the object. The amount of work done on the object by non-conservative forces is equal to the amount of change in mechanical energy.
 Like all questions in this mission, the work done by non-conservative forces must be related to the changes in energy of the object (see Know the Law section). In the case of the roller coaster car, the kinetic energy equation (see Formula Frenzy section) can be used to determine the initial and final kinetic energy of the coaster car. The initial kinetic energy of the coaster car is 0 J since it is originally at rest. The potential energy equation (see Formula Frenzy section) can be used to determine the initial and final potential energy of the coaster car. The initial and final heights are given. There is a difference between the amount of initial and final mechanical energy (KE + PE). The change in mechanical energy is caused by and equal to the work done upon the object. By calculating the change, the work can be determined. As mentioned in the question statement, enter a negative answer if the work is negative.
 The amount of kinetic energy (KE) possessed by an object depends upon its mass (m) and its velocity (v). The formula is   KE = 0.5 • m • v2 The amount of potential energy (PE) possessed by an object depends upon its mass (m) and its height (h). The formula is    PE = m • g • h   where g is the gravitational field strength (9.8 N/kg on Earth).