9. [Conservation of Energy] A 5.00-kg block is sliding up a…

9. [Conservation of Energy] A 5.00-kg block is sliding up a rough incline at 8.00 m/s. The incline is angled 20.0 degrees above the horizontal. The block travels 4.00 m up the incline before coming to rest. What is the coefficient of kinetic friction between the block and the incline? Show clear work for this problem, including setup, equations, substitutions, units, and reasoning when applicable.

16. [Conservation of Energy] A skier has an initial speed of…

16. [Conservation of Energy] A skier has an initial speed of 4.00 m/s and later reaches a speed of 12.0 m/s on a frictionless hill. What vertical distance did the skier drop? Show clear work for this problem, including setup, equations, substitutions, units, and reasoning when applicable.

14. [Conservation of Energy] A 0.600-kg cart is released fro…

14. [Conservation of Energy] A 0.600-kg cart is released from rest against a compressed spring. The spring constant is 300 N/m. After leaving the spring, the cart’s speed is 5.00 m/s. How far was the spring compressed? Show clear work for this problem, including setup, equations, substitutions, units, and reasoning when applicable.

10. [Conservation of Energy] A crate sliding on a horizontal…

10. [Conservation of Energy] A crate sliding on a horizontal floor comes to rest because of a constant kinetic friction force. If the crate’s initial speed were cut in half, how would the stopping distance change? Show clear work for this problem, including setup, equations, substitutions, units, and reasoning when applicable.

12. [Conservation of Energy] Two identical blocks slide down…

12. [Conservation of Energy] Two identical blocks slide down frictionless tracks starting from the same height. Block A starts from rest. Block B starts with an initial speed. Which block is moving faster at the bottom? Show clear work for this problem, including setup, equations, substitutions, units, and reasoning when applicable.