# PCN211 Physics of Medical Imaging: Vaulting in Gymnastics

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## Questions:

1. An astronaut has left an orbiting spacecraft to test a new personal maneuvering unit. As she moves along a straight line, her partner on the spacecraft measures her velocity every 2.0 s, starting at time t = 1.0 s:

Find the average x-acceleration, and state whether the speed of the astronaut increases or decreases over each of these 2.0-s time intervals:

1. t1 = 1.0 s to t2 = 3.0 s;
1. t1 = 5.0 s to t2 = 7.0 s;
1. t1 = 9.0 s to t2 = 11.0 s;
1. t1 = 13.0 s to t2 = 15.0 s.
1. A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion, the average velocity of the car is 6.25 m/s. How far does the car travel in 4.00 s?
1. You normally drive on the freeway between Nicosia and Limassol at an average speed of 118 km/h. The trip takes 1 h and 10 min. On a Friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 70 km/h. How much longer does the trip take?
1. When you stand on a moving bus, how do you arrange your feet to try to maintain stability and why?
1. Why is a tripod stable?
1. About 50,000 years ago, a meteor crashed into the earth near present-day Flagstaff, Arizona. Measurements from 2005 estimate that this meteor had a mass of about 1.4 *108 kg and hit the ground at a speed of 12 km/s. How much kinetic energy did this meteor deliver to the ground?
1. The normal force on the head of the femur in the knee is 300N. Find the frictional force for a normal (μ= 0.003) and arthritic (μ = 0.03) joint.
1. What would happen if the coefficient of friction between a hand and the vault were too small during vaulting in gymnastics?
1. The accelerating sprinter described in this chapter pushes off with 560 N force. If the net downward force on the foot on the ground is 3 mbgfor this 70 kg sprinter, what is the minimum coefficient of friction needed to prevent slipping? Under what conditions is this possible?
1. Why can it be easier to walk and run on wet sand than on dry sand?
1. Explain why sprinters start a race pushing off from blocks.
1. Explain why circus performers doing tightrope and high-wire acts carry a long horizontal pole.
1. Human Energy vs. Insect Energy. For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.0-mm-long, 0.50-mg flea can reach a height of 20 cm in a single leap.
1. Ignoring air drag, what is the takeoff speed of such a flea?
2. Calculate the kinetic energy of this flea at takeoff and its kinetic energy per kilogram of mass.
3. Most humans can jump no more than 60 cm from a crouched start. What is the kinetic energy per kilogram of mass at takeoff for such a 65-kg person?
4. Where does the flea store the energy that allows it to make sudden leaps?

### PCN211 Physics of Medical Imaging

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