1. A horse is pulling a sleigh with a force of 300. N in the horizontal directio

Question

1. A horse is pulling a sleigh with a force of 300. N in the horizontal direction. The coefficient of friction between the sleigh and the snow is 0.11 and the mass of the sleigh is 255 kg. The horse pulls the sleigh through a distance of 250. m a) Determine the force of friction acting on the sleigh. b) Determine the work done by the horse on the sleigh. c) Determine the work done by friction on the sleigh. d) What was the total work done by non-conservative forces acting on the sleigh? e) Assuming the sleigh started from rest, what is the velocity of the sleigh after the horse has pulled it the 250. meters? DO NOT USE KINEMATICS! 2. A spring is initially compressed a distance of 0.15 meters. A 2.5 kg mass is held against the compressed spring. The spring constant is 530. N/m a) How much energy is initially stored in the spring? b) The spring is released, and the mass moves to the right on the track. What is the maximum velocity of the mass? c) What is the maximum gravitational potential energy that the mass will gain? d) What is the maximum vertical height that the mass will reach?

Explanation / Answer

a ) 0.11 * 255 *9.8 = 274.89 N

b) W = 300 *250 =75000 J

C ) W = - 274.89 * ( 250 ) = -68722.5 J

d) W =  75000 + -68722.5 = 6277.5 J

c )  6277.5 = 0.5 * 255 *v^2  

v = 7.016 m/s

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