You are riding on a roller coaster at your favorite amusement park. You are traveling back up the next hill which is not quite as high as the first hill. If the potential energy at this point is 822 J and the total energy is 1669 J, what is the kinetic energy at that moment?
write your equation step by step and list the equation used
The total energy of an object is the sum of its potential energy and its kinetic energy. At any point during the ride, the total energy (TE) remains constant.
Given:
Potential energy (PE) = 822 J
Total energy (TE) = 1669 J
The equation relating potential energy, kinetic energy, and total energy is:
TE = PE + KE
Substituting the given values:
1669 J = 822 J + KE
To find the kinetic energy (KE), rearrange the equation:
KE = TE - PE
Substituting the values we have:
KE = 1669 J - 822 J
Simplifying the equation:
KE = 847 J
Therefore, the kinetic energy at that moment is 847 J.