12. Force 6 x3-2x, find the work in mks units done by the force for a distance o
ID: 1774213 • Letter: 1
Question
12. Force 6 x3-2x, find the work in mks units done by the force for a distance of x 4 tox 6. A) 576000J B) 2000J C) 1540J D) 1800J E) 3600 3. An Atwood's machine with a frictionless pulley has massl 11 kg and is accelerating up at 2.7 m/s. What is the value of mass 22 A) 11.22kg B) 89.1 kg C) 33.66 kg D) 29.1 kg E) 19.37 kg 14. An 3000- kg car traveling at 50 m/s takes 8 m to stop under full braking. The same car under similar road conditions, m to stop under full braking. traveling at 100 m/s, takes A) 8 B) 16 C) 32 D)3 E)6 is pulled up a 25 slope at a constant speed by a force of 130 N. What is the coefficient of kinetic friction between sled and slope? A) 0.49N B) 0.1125N C) 0.546N D) 0.195 N E) 0.288 N 16. A student weiehing loo elim a flight of stairs 3 0 m high in 4 s. What power is required to perform this task? A) 0.1 Hp B) 40 W C) 2.6 Hp D) 0.126 Hp E) 270 w 17. A spring of spring constant of 11900 N/m and compressed by 0.45 m accelerates a 5 kg mass down a frictionless incline from a height of 9 m. What is the speed of the mass at the bottom of the inclined plane? A) 14.994 m/s B) 59.5 m/s C) 107.1 m/s D) 25.66 m/s E) 34.272 m/s 18. Two ropes are attached to a 40 kg object. The rope with a 50 N force points along a direction 31° from the positive x. axis, and the other robe with a 70 N force points along a direction 230°. What is the acceleration of the object? A) 7.13 m/s' B) 43.4 m/s C) 10.47 m/s D) 9.43 m/s E) 17.112 m/s 19. A tractor is speeding up at 1.2 m/s' a 1300 kg sled with a rope at an angle of 38°. The coefficient of kinetic friction between the sled and ground is 0.6. What is the tension in the rope? A) 2340 N B) 8230N C) 7952N D) 3120N E) 14820 N 20. A 18 kg block rests on a 31 inclined frictionless surface and is attached by a light string to a 12 kg hanging mass wh the string passes over a massless frictionless pulley. Ifg 9.8 m/s', what is the tension in the connecting string? A) 106.9N B) 216N C) 64.8N D) 46.5 N E) 156.24 NExplanation / Answer
12) F = 6x^3 - 2x
w = integral(F)dx
= (6x^3 - 2x) dx from x = 4 to x = 6
= 3/2 x^4 - x^2 from x = 4 to 6
= 3/2*(6^4- 4^4 ) - (6^2 - 4^2)
= 1540 J
so option C) is the correct answer
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