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last winter season you were learning how to snowboard so you used bunny slopes o

ID: 1366441 • Letter: L

Question

last winter season you were learning how to snowboard so you used bunny slopes of approximately 10 Set 2 Question 1 t winter season you were learning how to snowboard so you used the bunny slope of approximate 10 grade to practice. The first day you were on the slope, the snow was wet and you were curious how fast you may be able to go. Using data from the textbook in your physics class you figure that the coefficient of friction between the snow and the snowboard was about 0.1. What speed would you have 20 seconds into the downhill run if you started from rest at the top and moved straight down without breaking? Las a. 54 mph b. 33 mph c. 100 mph d. 42 m/s e. 12 m/s Question 2 On finishing the semester you have decided to take a sky-diving class. You also know that once you open a parachute you will quickly approach the terminal velocity and then glade towards the ground. Assume your mass is about 70 kg and you have a parachute with canopy of area of 5 m2 What is your terminal velocity in kilometers per hour?.Assume the density of air is 1.29 kg/m3 and the drag coefficient of air is unity. a. 53 km/h b. 335 km/h c. 10 km/h d. 23 km/h e. 1743 km/h Question3 Road curves on some test tracks and race courses, such as the Daytona International Speedway in Florida, are very steeply banked. This banking, with the aid of tire friction and very stable car configurations, allows the curves to be taken at very high speed. To illustrate, calculate the speed at which a 100 m radius curve banked at 65° should be driven if the road is frictionless. 1 46 m/s 2 99 m/s

Explanation / Answer

1)

angle , theta = 10 degree

coefficient of friction , u = 0.1

a = g * (sin(10) - 0.1 * cos(10))

a = 9.8 * (sin(10) - 0.1 * cos(10))

a = 0.74 m/s^2

now , using first equation of motion

v = a * t

v = 0.74 * 20

a = 14.73 m/s

speed = 14.73 * 3600/1609

speed = 33 mph

the speed will be b) 33 mph