A box on a rough surface is pulled by a horizontal rope with tension T. The box
ID: 1341290 • Letter: A
Question
A box on a rough surface is pulled by a horizontal rope with tension T. The box is not moving. Which of the following relations is true regarding the static frictional force on the block. A 5,00kg block is pushed up a rough ramp by an applied force of 60.0N as shown in the figure at right. The coefficient of kinetic friction between the block and the ramp is 0.100. The applied force is oriented horizontally, (i.e., The applied force vector is not parallel to the incline!). The ramp is inclined at 36.9 degree from horizontal. In the box at right, draw a free body diagram of the block which includes all the forces being applied to it. To receive full credit, the force vectors in the free-body diagram must be clearly labeled and their directions accurately oriented. Indicate the direction of the block's acceleration with a squiggly vector alongside the free-body diagram. What is the weight of the block? Calculate the magnitude of the normal force of the ramp on the block. Calculate the magnitude of the kinetic friction force of the ramp on the block. Calculate the magnitude and direction of the net force on the block. What are the magnitude and direction of the acceleration experienced by the block?Explanation / Answer
a) What you got is correct
b) The normal force is given by, N = mgcos36.9 =49cos36.9 = 39 N
c) f = mg(sin36.9+0.1cos36.9)
= 49(sin36.9+0.1cos36.9)
= 33 N
d) F = F' -mgsin36.9 - f = 60 - 49sin36.9 - 33 = -2.4 N
e) a = g(sin36.9+0.1cos36.9)
= 6.7 m/s^2 towards down the ramp
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