13. A roller coaster is moving at 40 m/s at the top ofthe first hill (-45 m). Ig

Question

13. A roller coaster is moving at 40 m/s at the top ofthe first hill (-45 m). Ignoring friction and air resistance, how fast will the roller coaster be moving at the top of a subsequent hill, which is 30 m? 54 A) 54 m/s B) 33.6 m/s C) 12 m/s D) 24.6 m/s E) 44 m/s 14. Two ropes are attached to a 40 kg object. The rope with a 50 N force points along a direction 43° from the positive x-axis, and the other robe with a 75 N force points along a direction 200. What is the acceleration of the object? A) 20.64 m/s2 B) 8.6 m/s2 C) 11.28 m/s Do 16.1 m/s. E) 64.5 m/s 15. A block of mass 20 kg moves up a 32° inclined plane by being pulled by a string attached to a hanging 37kg mass across a frictionless pulley. There is a coefficient of friction of 2 for the surface and the 20 kg mass. Find the acceleration in m/s2. 16. A tractor is speeding up at 1.2 m/s a 1500 kg sled with a rope at an angle of 320. The coefficient of kinetic friction between the sled and ground is 0.3. hat is the tension in the rope?

Explanation / Answer

13) let the speed of the roller coaster is v

Using conservation of energy

0.50 * m * 40^2 + m * 9.8 * 45 = 0.50 * m * v^2 + m * 9.8 * 30

solving for v

v = 44 m/s

the correct option is E) 44 m/s

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