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A weightlifter curls a 30 kg bar, raising it each time a distance of 0.50 m .How many times must he repeat this exercise to burn off the energy in one slice of pizza? Assume 25% efficiency. Energy content of one slice of pizza is 1260 kJ.

Respuesta :

Answer:

[tex]N = 2141 times[/tex]

Explanation:

Each time the work done to raise a given mass is

[tex]W = mgh[/tex]

here we know that

[tex]m = 30 kg[/tex]

[tex]h = 0.50 m[/tex]

now we have

[tex]W = (30 kg)(9.81 m/s^2)(0.50)[/tex]

[tex]W = 147.15 J[/tex]

since it is just 25% of actual energy consumed as we know its efficiency is 25%

so we have total energy consumed in this way

[tex]E_{total} = \frac{147.15}{0.25}[/tex]

[tex]E_{total} = 588.6 J[/tex]

now if it took N number of times so burn the fat of a pizza then

[tex]N(588.6) = 1260 \times 10^3[/tex]

[tex]N = 2141 times[/tex]

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