SI Session 11 Worksheet

1.During the Powerhouse lab, Jerome runs up the stairs, elevating his 102 kg body a vertical distance of 2.29 meters in a time of 1.32 seconds at a constant speed.

  1. Determine the work done by Jerome in climbing the stair case.
  2. Determine the power generated by Jerome.

2.The Taipei 101 in Taiwan is a 1667-foot tall, 101-story skyscraper. The skyscraper is the home of the world’s fastest elevator. The elevators transport visitors from the ground floor to the Observation Deck on the 89th floor at speeds up to 16.8 m/s. Determine the power delivered by the motor to lift the 10 passengers at this speed. The combined mass of the passengers and cabin is 1250 kg.

3.A bicycle has a kinetic energy of 124 J. What kinetic energy would the bicycle have if it had …

  1. … twice the mass and was moving at the same speed?
  2. … the same mass and was moving with twice the speed?
  3. … one-half the mass and was moving with twice the speed?
  4. … the same mass and was moving with one-half the speed?
  5. … three times the mass and was moving with one-half the speed?

4.A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.

  1. Determine the kinetic energy possessed by the skydiver.
  2. Determine the potential energy possessed by the skydiver.
  3. Determine the total mechanical energy possessed by the skydiver.

5.Olive Udadi is at the park with her father. The 26-kg Olive is on a swing following the path as shown. Olive has a speed of 0 m/s at position A and is a height of 3.0-m above the ground. At position B, Olive is 1.2 m above the ground. At position C (2.2 m above the ground), Olive projects from the seat and travels as a projectile along the path shown. At point F, Olive is a merepicometerabove the ground. Assume negligible air resistance throughout the motion. Use this information to fill in the table.

Position / Height (m) / PE (J) / KE (J) / TME (J) / Speed (m/s)
A / 3.0 / 0.0
B / 1.2
C / 2.2
F / 0

6.Suzie Lavtaski (m=56 kg) is skiing at Bluebird Mountain. She is moving at 16 m/s across the crest of a ski hill located 34 m above ground level at the end of the run.

  1. Determine Suzie's kinetic energy.
  2. Determine Suzie's potential energy relative to the height of the ground at the end of the run.
  3. Determine Suzie's total mechanical energy at the crest of the hill.
  4. If no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then what will be Suzie's total mechanical energy at the end of the run?
  5. Determine Suzie's speed as she arrives at the end of the run and prior to braking to a stop.

7.Nicholas is at The Noah's Ark Amusement Park and preparing to ride on The Point of No Return racing slide. At the top of the slide, Nicholas (m=72.6 kg) is 28.5 m above the ground.

  1. Determine Nicholas' potential energy at the top of the slide.
  2. Determine Nicholas's kinetic energy at the top of the slide.
  3. Assuming negligible losses of energy between the top of the slide and his approach to the bottom of the slide (h=0 m), determine Nicholas's total mechanical energy as he arrives at the bottom of the slide.
  4. Determine Nicholas' potential energy as he arrives at the bottom of the slide.
  5. Determine Nicholas' kinetic energy as he arrives at the bottom of the slide.
  6. Determine Nicholas' speed as he arrives at the bottom of the slide.