please WRITE all equations used and circle final answer. draw diagrams and use equations covered in work, energy, and momentum.

1. block of mass 8.0 kg slides from rest down on a 30 inclination angle and friction coefficient between block and surface 0f 0.25 and is stopped by a strong spring with k= 32000N/m. The block slide 3.8 meter from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed? (Apply conservation of energy with friction, Draw picture and show your work.)

2. bullet of mass 32 grams is fired horizontally into a 3.2 kg wooden block on a horizontal surface. The coefficient of kinetic friction between the block and the surface is 0.32. The bullet stops in the block which slides straight ahead for 3.2 meter. At what speed is the bullet fired?(Apply conservation of energy with friction.)