Final answer:
The kinetic energy of an object with a mass of 10 kg moving at a velocity of 20 m/s is 2000 J. The potential energy and the total mechanical energy cannot be calculated without additional information. The work done on the object is also not determinable with the provided details.
Step-by-step explanation:
The student needs to calculate the kinetic energy of an object with a mass of 10 kg moving at a velocity of 20 m/s using the formula KE = 1/2mv^2.
a) To find the kinetic energy (KE) of the object, we can substitute the given values into the formula:
KE = (1/2) × 10 kg × (20 m/s)^2
KE = 5 kg × 400 m^2/s^2
KE = 2000 J
The kinetic energy of the object is 2000 joules (J).
b) The potential energy (PE) of the object is not given in the question and additional information such as height above ground or gravitational field strength would be needed to calculate it. Without this information, we cannot determine the potential energy.
c) To calculate the total mechanical energy of the object (sum of kinetic and potential energies), we again need the potential energy value, which is missing. Hence, the total mechanical energy cannot be determined.
d) The work done on the object can be related to the kinetic energy if the work-energy theorem is considered, where the work done on an object is equal to the change in its kinetic energy. However, since no information about the forces acting on the object or the displacement is provided, we cannot calculate the work done.