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You are working for a shipping company. Your job is to
Chapter 8, Problem 79P(choose chapter or problem)
You are working for a shipping company. Your job is to stand at the bottom of a 8.0-m-long ramp that is inclined at 37° above the horizontal. You grab packages off a conveyor belt and propel them up the ramp. The coefficient of kinetic friction between the packages and the ramp is ???k = 0.30. (a) What speed do you need to give a package at the bottom of the ramp so that it has zero speed at the top of the ramp? (b) Your coworker is supposed to grab the packages as they arrive at the top of the ramp, but she misses one and it slides back down. What is its speed when it returns to you?
Questions & Answers
QUESTION:
You are working for a shipping company. Your job is to stand at the bottom of a 8.0-m-long ramp that is inclined at 37° above the horizontal. You grab packages off a conveyor belt and propel them up the ramp. The coefficient of kinetic friction between the packages and the ramp is ???k = 0.30. (a) What speed do you need to give a package at the bottom of the ramp so that it has zero speed at the top of the ramp? (b) Your coworker is supposed to grab the packages as they arrive at the top of the ramp, but she misses one and it slides back down. What is its speed when it returns to you?
ANSWER:Solution 79P Step 1: The schematic diagram for the problem is given below. Here the line AC has lengthy of 8 meters. The governing equation is, ma = mg sin + F fric--------------------(1) But the frictional force we know as, F = N = mgcos = 0.30 × m × g × cos 37 = 0.24 mg . fric K K Now equation (1) will become, 0 ma = mg sin 37 + 0.24 mg = (0.60 + 0.24) mg 2 a = 0.841 × 9.8 = 8.25 m/s .