Final answer:
To determine the height the block reaches on a hill, we need to consider the energy conversions that occur. The thermal energy produced is equal to the work done against friction. The height can be determined using the equation h = thermal energy / (m*g).
Step-by-step explanation:
To determine the height the block reaches on a hill, we need to consider the energy conversions that occur. When the block moves up the hill, its mechanical energy is converted into thermal energy due to friction. The thermal energy produced is equal to the work done against friction. In this case, the thermal energy is given as 318 J. Since the thermal energy is equal to the change in potential energy, we can equate it to the product of the mass, acceleration due to gravity, and the height:
Thermal energy = mgh
where m is the mass, g is the acceleration due to gravity, and h is the height.
Rearranging the equation, we can solve for the height:
h = thermal energy / (m*g)
Given the information, we need to know the mass of the block and the acceleration due to gravity to determine the height the block reaches.