A crate of mass 10.0 $\mathrm{kg}$ is pulled up a rough incline with an initial speed of 1.50 $\mathrm{m} / \mathrm{s}$ . The pulling force is 100 $\mathrm{N}$ parallel to the incline, which makes an angle of $20.0^{\circ}$ with the horizontal. The coefficient of kinetic friction is 0.400 , and the crate is pulled $5.00 \mathrm{m} .$ (a) How much work is done by the gravitational force on the crate? (b) Determine the increase in internal energy of the crate-incline system owing to friction. (c) How much work is done by the $100-\mathrm{N}$ force on the crate? (d) What is the change in kinetic energy of the crate? (e) What is the speed of the crate after being pulled 5.00 $\mathrm{m}$ ?