6. Cleo and Clare are looking from their balcony to a swimming pool below that i

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6. Cleo and Clare are looking from their balcony to a swimming pool below that is located 15 m horizontally from the bottom of their building. They estimate the balcony is 45 m high and wonder how fast they would have to jump horizontally to succeed in reaching the pool. What calculations would you show to help them determine the answer? Evaluate the practicality of their being able to succeed at jumping into the pool.

7. An airplane has a gun that fires bullets straight ahead at the speed of 600 miles per hour when tested on the ground while the plane is stationary. The plane takes off and flies east at 600 miles per hour. Explain whether each of the following is possible for the pilot to measure:

a. When fired directly ahead the bullets move eastward at a speed of 1200 miles per hour

b. When fired in the opposite direction (by turning the gun westward, but not the plane), the bullets drop vertically downward

c. If fired vertically downward (by turning the gun downward, but not the plane), the bullets move eastward at 600 miles per hour while they fall.

8. A falling 50-kg skydiver experiences an upward acceleration of 6.2 m/s2 when she opens her parachute. Show (by calculation) how much drag force is produced by the parachute.

9. In three scenarios a truck is towing a boat on a trailer. Using 3 - 4 complete sentences indicate which scenario(s) (if any) is the force of the truck on the trailer greater than the force of the trailer on the truck: Scenario A: masstruck = 1000 kg, massboat and trailer = 500 kg; velocity = 20 m/s Scenario B: masstruck = 800 kg, massboat and trailer = 800 kg; velocity = 20 m/s Scenario C: masstruck = 500 kg, massboat and trailer = 1000 kg; velocity = 15 m/s

10. A bug and the windshield of a fast-moving car collide. Indicate whether each of the following statements is True or False (1 point each)

a. The forces of impact on the bug and on the car are the same magnitude.

b. The impulses on the bug and on the car are the same magnitude

c. The changes in speed of the bug and of the car are the same magnitude.

d. The changes in momentum of the bug and of the car are the same magnitude.

e. The accelerations of the bug and the car are the same magnitude.

11. Betty and Bianca weigh the same amount and they climb a flight of stairs. Betty climbs the stairs in 30 seconds. Bianca climbs the stairs in 40 seconds. In terms of force, work and power, evaluate which of the three quantities (if any) is greater for Betty or for Bianca? Justify your answers using 3 - 4 complete sentences.

12. Leon's bicycle wheels have a circumference of 2 m. What is his linear speed when the wheels rotate at 1 revolution per second? Show all work leading to your answer.

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