A \(2.3 \mathrm{~kg}\) box, starting from rest, is pushed up a ramp by a \(10 \mathrm{~N}\) force parallel to the ramp. The ramp is \(2.0 \mathrm{~m}\) long and tilted at \(17^{\circ}\). The speed of the box at the top of the ramp is \(0.80 \mathrm{~m} / \mathrm{s}\). Consider the system to be the box + ramp + earth.

a. How much work \(W\) does the force do on the system?

b. What is the change \(\Delta K\) in the kinetic energy of the system?

c. What is the change \(\Delta U_{\mathrm{g}}\) in the gravitational potential energy of the system?

d. What is the change \(\Delta E_{\mathrm{th}}\) in the thermal energy of the system?