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15. An engine that has an efficiency of 25% takes in 2001] of heat during each c

ID: 1731897 • Letter: 1

Question

15. An engine that has an efficiency of 25% takes in 2001] of heat during each cycle. Calculate the amount of work this engine performs. Ip 16 (a) Calculate the acceleration of a skier heading down a 20 [a] slope, assuming the coefficient Ip of friction for waxed wood on wet snow: ? (b) Find the angle of the slope down which this skier could coast at a constant velocity Hint 1: You can neglect air resistance in both parts. Hint 2: Please remember about the illustration and the correct description of all illustrated vectors. When solving-it must be shown (by illustration) “where are the vectors and formulas from". 1p

Explanation / Answer

15. given engine

n = 0.25

Qin = 200 J

W/Qin = n

hence

W = 0.25*Qin = 50 J

16. uk = 0.1

acceleration = g*sin(theta) - uk*gcos(theta)

theta = 20 deg

hence

a = 2.433379145 m/s/s

b. for constant veloctiy

sin(theta) = uk*cos(theta)

tan(theta) = uk

theta = 5.7105 deg

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