__ 1. Refer to figure A . What is the amount of force applied to rope "A" to lift the weight shown?(You must show your calculations) a. 12 pounds b. 15 pounds c. 20 pounds d. 30 pounds

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__ 1. Refer to figure A . What is the amount of force applied to rope "A" to lift the weight shown?(You must show your calculations) a. 12 pounds b. 15 pounds c. 20 pounds d. 30 pounds

Answer 1

To solve this problem, we need to understand the relationship between force, mass, and acceleration due to gravity. The force required to lift an object is equal to the mass of the object multiplied by the acceleration due to gravity, which on Earth is approximately \(9.8 \, m/s^2\). However, the force given in the problem is denoted with a tilde (\(\tilde{F}\)), which typically indicates an approximation or a different unit of measurement. Since the options are in pounds and the given force is 60 (with no units specified), we will assume that this is the weight of the object in pounds.The formula for force in terms of weight is:\[F = \frac{W}{a}\]where \(F\) is the force applied, \(W\) is the weight of the object, and \(a\) is the mechanical advantage of the pulley system.Since there is no pulley system described in the problem, we will assume a mechanical advantage of 1 (a simple pulley with no mechanical advantage). Therefore, the force applied to lift the weight would be equal to the weight itself.Given:\[\tilde{F} = 60 \, \text{pounds}\]Since the mechanical advantage is 1, the force applied to rope "A" to lift the weight is:\[F = \tilde{F}\]\[F = 60 \, \text{pounds}\]【Answer】: The amount of force applied to rope "A" to lift the weight shown is 60 pounds.

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__ 1. Refer to figure A . What is the amount of force applied to rope "A" to lift the weight shown?(You must show your calculations) a. 12 pounds b. 15 pounds c. 20 pounds d. 30 pounds

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