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5) Vo h 150 m A driver drives down a hill 150 m high with initial speed vo 35 m/

ID: 2306110 • Letter: 5

Question

5) Vo h 150 m A driver drives down a hill 150 m high with initial speed vo 35 m/s. The road has friction that results in a negative work -1.7 x 10 J. Calculate the speed of the car when it reaches the bottom of the hill. The mass of car and driver M 1700 kg. 54.5 m/s 36.6 m/s 39.6 m/s 42.9 m/s 46.5 m/s 6) A 2,000-kg sailboat experiences an eastward force of 3000 N by the ocean tide and a wind force against its sails with magnitude of 6000 N directed 55° north of west as shown in the diagram below. Calculate the resultant acceleration of the sailboat Fw 6000 N 55° Ft 3000N 2000 kg 2.9 m/s 3.4 m/s 3.8 m/s 2.5 m/s 4.2 m/s

Explanation / Answer

5) energy at top - Friction = energy at bottom

PE at top + KE at top = KE at bottom

mgh + 0.5mv1^2 - Ff = 0.5mv2^2

1700*9.8*150 + 0.5*1700*35^2 - 1.7*10^6= 0.5*1700*v2^2

v2 = 46.5 m/s

so option E) 45.6 m/s is the correct answer

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