You are trying to lift a heavy file cabinet into the back of a truck. The file cabinet weighs 200 pounds (about 900 newtons) and you must raise it 2 feet (about 0.6 meters) upward. The file cabinet has wheels, so it rolls freely. You create a ramp using rigid boards that are 8 feet long and successfully push the wheeled file cabinet up the ramp and into the truck. What force did you exert on the file cabinet to keep it moving up the ramp at constant velocity? [Assume the ramp was smooth, straight, and exactly 8 feet long, and neglect any imperfections, such as friction, air resistance, or rotation of the cabinet's wheels.]1 pointYou exerted a force of 25 pounds directed uphill along the ramp.You exerted a force of 50 pounds directed uphill along the ramp.You exerted a force of 100 pounds directed uphill along the ramp.You exerted a force of 200 pounds directed uphill along the ramp.
Question
You are trying to lift a heavy file cabinet into the back of a truck. The file cabinet weighs 200 pounds (about 900 newtons) and you must raise it 2 feet (about 0.6 meters) upward. The file cabinet has wheels, so it rolls freely. You create a ramp using rigid boards that are 8 feet long and successfully push the wheeled file cabinet up the ramp and into the truck. What force did you exert on the file cabinet to keep it moving up the ramp at constant velocity? [Assume the ramp was smooth, straight, and exactly 8 feet long, and neglect any imperfections, such as friction, air resistance, or rotation of the cabinet's wheels.]1 pointYou exerted a force of 25 pounds directed uphill along the ramp.You exerted a force of 50 pounds directed uphill along the ramp.You exerted a force of 100 pounds directed uphill along the ramp.You exerted a force of 200 pounds directed uphill along the ramp.
Solution
To determine the force exerted on the file cabinet to keep it moving up the ramp at a constant velocity, we can use the concept of mechanical advantage provided by the inclined plane.
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Identify the given values:
- Weight of the file cabinet: 200 pounds (900 newtons)
- Height to be raised: 2 feet (0.6 meters)
- Length of the ramp: 8 feet
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Calculate the mechanical advantage (MA) of the ramp: The mechanical advantage of an inclined plane is the ratio of the length of the ramp to the height of the ramp.
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Determine the force required to move the file cabinet up the ramp: The force required to move the file cabinet up the ramp at constant velocity is the weight of the file cabinet divided by the mechanical advantage.
Therefore, you exerted a force of 50 pounds directed uphill along the ramp.
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