A box of textbooks (box T) and a crate of laboratory equipment (crate L) are connected by a durable nylon rope and slide down an inclined plane at an angle $\theta =45°$ to the horizontal. The masses of both boxes are $m_T=m_L=10.0\mathrm{kg}$. The coefficients of friction for the box and the crate are ${\mu }_T=0.30$ and ${\mu }_L=0.40$, respectively. Calculate the tension in the rope as the system slides down the incline.