Stuck on this question. All the inforamtion needed is below, thanks for any help you might be able to offer. This is just an environmental studies of the earth question - it's not as complex as it appears:

\fIn the class we learned that land surfaces are easier to heat and cool than ocean surfaces. Here we simulate this with a simple box model. The blue box above represents a volume of ground layer inuenced by the net downward solar radiation {8) and the upward terrestrial radiao'on (0T4). The top of the box corresponds to the ground surface. For simplicity, we ignore the back radiation from the atmosphere in this question. As soon as the box receives the solar radiation 5, the internal energy of the box is homogenized over the volume so the temperature of the box " remains uniform. [This homogenization may be achieved by energy transfer due to conduction when the bo. is shallow and more efciently by convection when it is deeper, but how T is homogenized is not tha important in this question.) The surface of the box radiates energy according to tte Stefan Boltzmann law (0T4). There is no other energy uxes in and out of the box. The energy budget of the box is written as %(CT} = S .ng4 [w m2], {3.1} where the left hand side denotes the rate of change of the internal energy (per area] stored in the box with respect to time t. Constant c is the heat capacity of the box, which is the amount of energy required to raise the temperature of the box by 1 K divided bythe surface area of the box. (cT multiplied by the surface area of the box equals the internal energy stored in the box.) Generally. the deeper the box, the greater the value of c. Because of the seasonality. 5 changes with time. We assume the following form S(t} 2 F0 + SD sin(wt} [w m'Q], (3.2) where F0 and SO are positive constants. the latter being the amplitude of seasonality in the solar where Fo and So are positive constants, the latter being the amplitude of seasonality in the solar radiation that reaches the ground. Here W 1 year is the frequency of seasonal variation. First, suppose there is no seasonal variation (So = 0). In this case, the temperature of the box will remain steady. Assuming Fo = 400 W m 2 and o = 5.67 x 10- Wm-2K-4, compute the temperature of the box T in Kelvin