Problem
• An old rope only safely suspend 120 kg. The old rope loses 20 kg of holding strength per minute once it's under tension from any thing over 80 kg. When the rope is tied to a beam, it hangs down with a vertical length of 12.0m.
o Calculate the minimum time required for a 85kg person starting from rest to climb the entire length of the rope without breaking it.
o What would the minimum vertical velocity of the climber be to reach the top safely?
• Two students push a 260 kg piano across the floor. Kathy pushes with 280 N [forward] while Matt pushes with 340 N [forward]. The piano accelerates at 0.30 m/s2 [forward].
o What is the coefficient of kinetic friction?
o How long will it take the piano to stop moving once they push it for 6.2s from rest?