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A crowbar having the length of 1.75m is used to balance a load of 500 N. if the distance between the fulgrum and the load is 0.5m, calculate i)effort applied

User JoeyJubb
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Final answer:

To calculate the effort applied when using a crowbar to balance a 500 N load with a fulcrum distance of 0.5m and a crowbar length of 1.75m, we use the principle of moments. The effort, found by dividing the product of the load and its distance to the fulcrum by the effort arm length (1.25m), is 200 N.

Step-by-step explanation:

The student asks about calculating the effort applied using a crowbar to balance a load, which is a classic example of a physics problem dealing with levers and moments (torque). Given that the length of the crowbar is 1.75 m and the distance between the fulcrum and the load is 0.5 m, we can use the principle of moments, which states that the moment about the fulcrum from the load must be equal to the moment from the effort to maintain balance (assuming the system is in equilibrium).



To solve for the effort (E) applied, we can set up the equation:



Load (L) x Load Distance (LD) = Effort (E) x Effort Distance (ED),



where the Load (L) is 500 N, Load Distance (LD) is 0.5 m, and Effort Distance (ED) is the difference between the length of the crowbar and the Load Distance, i.e., 1.75 m - 0.5 m = 1.25 m. Plugging in the numbers:



500 N x 0.5 m = E x 1.25 m.



To find the effort, E, we rearrange and solve for E:



E = (500 N x 0.5 m) / 1.25 m,



E = 200 N.



Therefore, the effort required to balance the load using the crowbar is 200 N.

User RodolfoAP
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