1) Newton's apple was a sphere with a 5cm radius and density of 850kg/m^3. Its drag coefficient is 0.60 and the density of air is 1.2kg/m^3. Find the apple' terminal velocity.
2) A roller coaster moves through a vertical circular loop of 16m high with you (m=75kg) in it.
a) If your speed is 18m/s at the bottom of the loop, how much force do you feel from the seat?
b) Find the coaster's speed at the top of the loop if you are just losing contact with your seat.
3) A student swings a ball (m=80g) horizontally above his head at a height of 2m. The string connected to the ball is 120cm long and will break if the tension exceeds 90N. If it breaks, how far away would the ball hit the ground?