To calculate the efficiency, we need to first calculate the energy input (work) and the energy output (potential energy).
The work done (energy input) is given as 800 J.
The potential energy (energy output) can be calculated using the formula: Potential Energy = Mass x Gravity x Height.
We know that the force applied to raise the kite is 40 N, and the height reached is 15 m.
Force is defined as mass times acceleration, and since the kite is not accelerating vertically, we can assume the force applied is equal to the weight of the kite (force = weight = mass x gravity).
Thus, 40 N = mass x gravity.
Rearranging the formula, we find the mass of the kite:
mass = force / gravity = 40 N / 9.8 m/s² ≈ 4.08 kg.
Now we can calculate the potential energy:
Potential Energy = mass x gravity x height = 4.08 kg x 9.8 m/s² x 15 m ≈ 600.12 J.
Finally, we can calculate the efficiency:
Efficiency = (Energy output / Energy input) x 100%
Efficiency = (600.12 J / 800 J) x 100% ≈ 75.015%
Therefore, the efficiency of raising the kite is approximately 75.015%.
Chloe put 800 J of work into raising a kite, while the kite rose to a height of 15 m with a force of 40 N. Calculate the efficiency of this kite.
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