As shown in the figure below, a 30-N sled is pushed up a frictionless 37 degree
ID: 1545201 • Letter: A
Question
As shown in the figure below, a 30-N sled is pushed up a frictionless 37 degree inclined plane by a force of 40 N applied parallel to the ground. The sled is moved 6.0 m along the plane. Find the work done by the 40-N force. W_f = ___ Find the work done by the weight of the sled. W_R = ___ Find the work done by the normal force. W_N = ___ Find the net work done on the sled. W_net = ___ (Bonus question) A 3.0-kg rocket-propelled toy car has a speed of 5.0 m/s as it rides inverted at the top of a vertical circular track of radius 1.0 m. What is the force (in Newtons) exerted by the track on the car? 19.6 29.4 45.6 75.0 98.0 Answer: ___Explanation / Answer
work = force * distance * cos(theta)
work done by 40 N force = 40 * 6 * cos(37)
work done by 40 N force = 191.67 J
work done by the weight of the sled = mg * sin(theta) * d
work done by the weight of the sled = 30 * sin(37) * 6
work done by the weight of the sled = 108.32 J
work done by the normal force = 0 J as angle between normal force and direction of motion is 90 degree
net work done on the sled = 191.67 + 108.32
net work done on the sled = 299.99 J
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