1. A spring (k=100 N/m) is hanging from the ceiling when somebody attaches a 2 kg block to the end of it and releases it. a. Identify all of the forces on the block after it is released. b. Which forces are in the direction of motion and which are in the opposite direction of motion? Which forces are doing positive work and which are doing negative work? c. Write an integral for the work done by gravity as the block falls from s=0 to s=x₁. Solve the integral with the start and end points at s=0 and s=xf. d. Write an integral for the work done by the spring as the block falls from s=0 to s=xf. Keep the signs correct. Solve the integral with the start and end points at s=0 and s=x₁. e. Use the work-kinetic energy theorem AK-Wnet to determine how low the block falls before turning around. (Note: the block has no velocity at its lowest point). f. When the block was first falling, what was its velocity when the spring stretched 20 cm?

1. A spring (k=100 N/m) is hanging from the ceiling when somebody attaches a 2 kg block to the end of it and releases it. a. Identify all of the forces on the block after it is released. b. Which forces are in the direction of motion and which are in the opposite direction of motion? Which forces are doing positive work and which are doing negative work? c. Write an integral for the work done by gravity as the block falls from s=0 to s=x₁. Solve the integral with the start and end points at s=0 and s=xf. d. Write an integral for the work done by the spring as the block falls from s=0 to s=xf. Keep the signs correct. Solve the integral with the start and end points at s=0 and s=x₁. e. Use the work-kinetic energy theorem AK-Wnet to determine how low the block falls before turning around. (Note: the block has no velocity at its lowest point). f. When the block was first falling, what was its velocity when the spring stretched 20 cm?