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Answer :
Final answer:
To calculate the force applied in this lever scenario, we use the work formula W = F * d, taking into account the mechanical advantage of the lever. The correct force applied is 20 N, which is not present in the provided answer choices.
Explanation:
The question posed pertains to the physics concept of work done using a lever. The work done (W) is expressed as the force applied (F) times the distance moved in the direction of the force (d), which can be formulated as W = F * d. In this scenario, a lever is used to lift a weight, and we know the amount of work done (400 Joules). The force applied can then be calculated using the formula for work.
The efficiency of the lever and the mechanical advantage (ratio of the effort arm to the load arm) are crucial in solving this problem. Using the lever's mechanical advantage, the force that must be applied to lift an object with a given weight is reduced.
Considering a lever with a mechanical advantage of 5 (10 meters effort arm / 2 meters load arm), and the work done of 400 J, we calculate the force applied (Fa) as follows:
Fa = W / (d * mechanical advantage)
In this case, Fa = 400 J / (4 m * 5)
Hence, Fa = 400 J / 20 m = 20 N.
Therefore, the force that must have been applied is 20 N, which is not listed among the provided options.
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The amount of force that must have been applied is 100 N.
option D is the correct answer.
What is the amount force applied to overcome the load?
The amount of force applied to overcome the load is calculated by applying the formula for work done as shown below.
Mathematically, the formula for work done is given as;
W = Fd
where;
- F is the applied force
- d is the distance moved by the force or effort
If the distance moved by the effort arm is 10 meters, the amount of effort or force applied to overcome the load is calculated as follows;
F = W / d
F = ( 400 J ) / 4 m
F = 100 N
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