Philomena, who weighs 32 kg, is enjoying bouncing vertically…

Philomena, who weighs 32 kg, is enjoying bouncing vertically on a pogo stick. When she’s at the bottom of her bounce, her accelerometer tells her she is accelerating upwards at a rate of 6.7 m/s2, and she notices that the spring has compressed by 15 cm. What is the spring constant of the pogo stick’s spring k?

Kithri is carrying a wooden board across a construction site…

Kithri is carrying a wooden board across a construction site when she decides to rest for a minute. She places one end of the 2.8-m-long, 15 kg board on a nearby fence post while continuing to hold the board near the opposite end. If Kithri can only muster 80 N of force to lift the board, how far from the fence must she hold the board to keep it in a horizontal position?