Answer :
Final answer:
The potential energy gain of a 5 kg mass raised by 2.00 m from the surface of the Earth is 98 J. This is calculated by multiplying the mass, gravitational acceleration, and height raised.
Explanation:
The gain in potential energy for a mass as it is raised can be calculated using the formula:
Potential Energy (PE) = mass (m) × gravitational acceleration (g) × height (h)
Given a mass of 5 kg and a height of 2.00 m, and using the standard gravitational acceleration of 9.80 m/s² on Earth, the calculation is:
PE = 5 kg × 9.80 m/s² × 2.00 m = 98 J
Therefore, the correct answer is (a) 98 J.