1). A m = 1.3 kg block falls from rest towards a spring with spring constant k = 4,300 N/m. If the block starts at a height of y_o = 3.7 m above the top of the spring, how far will the spring compress when the block has come to a stop? (Give your answer in units of m.)

2). You are standing atop the Empire State Building in NYC, at a height of 381 m. Like everyone else, you wonder about the urban legend that a penny dropped from atop the Empire State Building could kill a person if it hit them in the head. For the sake of this problem, you're a morally ambiguous person at best, but a good scientist. So you decide to drop a penny off of the Empire State Building and see how fast the penny is moving when it hits the ground below. Just as you release the penny, an angry mallard duck flying up from street level catches the penny in it's mouth. The mallard continues flying upwards to a cruising altitude of 5,000 m, at which point it lets go of the penny. What will the penny's speed be the instant just before it hits the street below? (Give your answer in units of m/s.)

3). A 10 kg mass is dropped from rest from a height of 123 m above the ground. What will its kinetic energy be instantaneously before hitting the ground? (Give your answer in units of J.)