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please do not use any energy formulas to solve this problem. we have not learned

ID: 1574417 • Letter: P

Question

please do not use any energy formulas to solve this problem. we have not learned that in class yet so my answer will be marked wrong. I need to use the formula: acceleration of an incline = gsin

please draw a detailed diagram of the problem and explain each step well!

A puck slides along the frictionless track, shown below, with an initial speed of 5.0 m/s. Assume the puck turns all the corners smoothly, with no loss of speed. Each horizontal section is 1.0 m long and the hill is 1.0 m high. The first angle of incline is 30 degrees, the second is 20 degrees. a. b. c. What is the puck's speed as it goes over the top? What is its speed when it reaches the level track on the right side? By what percentage does the puck's final speed differ from its initial speed?

Explanation / Answer

a) from conservation of energy

1/2mv2^2-1/2mv1^2 = 0-mgh

v2 = sqrt(v1^2-2gh) = sqrt(5^2-2*9.81*1) = 2.32 m/s

b) from the conservation of energy

1/2mv3^2-1/2mv2^2 = mgh

v3 = v1 = 5 m/s

c) 0%