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Jan. 25, 2023•0 likes•2 views

Jan. 25, 2023•0 likes•2 views

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Question 5 (10 pts) If a horse really has 1.00 hp 746 w, then how fast can it make a 200. kg wagon, initially at rest, move in 10.0 s? Ignore friction in the wagon, and assume a horizontal surface, and assume that the horse can maintain this power for the entire 10.0 seconds. 12.2 m/s B) 2.90 m/s C) 15.2 m/s D) 7.20 m/s E) 8.63 m/s A) Solution Let the maximum speed achieved be V m/s Assuming constant acceleration ( since the hp is constant) acceleration, a = V-0 / time = V / 10 m/s 2 distance covered in 10 seconds ( using v 2 - u 2 =2as ) ==> V 2 - 0 = 2*(V/10)*s ==> s = 5V Work Done = Force * displacement ==> mass* acceleration * s = 200 * V/10 * 5V Power = Work /time = 10V 2 This Power = 746 Watts ==> V = 8.6371 m/s .

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- 1. Question 5 (10 pts) If a horse really has 1.00 hp 746 w, then how fast can it make a 200. kg wagon, initially at rest, move in 10.0 s? Ignore friction in the wagon, and assume a horizontal surface, and assume that the horse can maintain this power for the entire 10.0 seconds. 12.2 m/s B) 2.90 m/s C) 15.2 m/s D) 7.20 m/s E) 8.63 m/s A) Solution Let the maximum speed achieved be V m/s Assuming constant acceleration ( since the hp is constant) acceleration, a = V-0 / time = V / 10 m/s 2 distance covered in 10 seconds ( using v 2 - u 2 =2as ) ==> V 2 - 0 = 2*(V/10)*s ==> s = 5V Work Done = Force * displacement ==> mass* acceleration * s = 200 * V/10 * 5V Power = Work /time = 10V 2 This Power = 746 Watts ==> V = 8.6371 m/s