Answer
(a) greater than
(b) equal to $3m/s$
Work Step by Step
(a) It is given that the acceleration due to gravity on Epsilon is less than that on the Earth and we know that $P.E=mgh$. Thus, to gain the same level of gravitational potential energy as on the Earth, the height of the hill on Epsilon should be greater than the corresponding hill on the Earth.
(b) We know that the initial speed at the bottom of the hill on Epsilon is $5m/s$ which is the same on the Earth. Since the values of the initial kinetic energy and final potential energy are the same on the Epsilon, the final speed at the top of the hill on Epsilon is the same -- that is, $3m/s$.
