Final answer:
The student's potential energy is 5,468 J, the kinetic energy is 504 J, and the total mechanical energy is 5,972 J.
Step-by-step explanation:
To calculate the student's potential energy, use the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. In this case, the height is the length of the rope, so the potential energy is PE = (56.0 kg)(9.8 m/s^2)(10.0 m) = 5,468 J. The student's potential energy is 5,468 J, the kinetic energy is 504 J, and the total mechanical energy is 5,972 J.
The student's kinetic energy can be calculated using the formula KE = 0.5mv^2, where m is the mass and v is the velocity. So the kinetic energy is KE = 0.5(56.0 kg)(6.0 m/s)^2 = 504 J.
The total mechanical energy is the sum of the potential energy and kinetic energy, so in this case, it's 5,468 J + 504 J = 5,972 J.
The correct answer is d) All of the above.