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2 years ago

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Two construction cranes are each able to lift a maximum load of 20000 N to a height of 250 m. However, one crane can lift that l

oad in 1 6 the time it takes the other. How much more power does the faster crane have?

1 answer:

Neporo4naja [7]2 years ago

5 0

Answer:

Explanation:

Given

Load $W=20000\ N$

height to which load is raised $h=250\ m$

Another crane take $\frac{1}{6}$ th time to lift the load

Energy required required to lift the Weight

$E=W\times h$

$E=20000\times 250$

$E=5,000,000\ J$

Suppose $P_1$ and $P_2$ is the Power required to lift the weight in t and $\frac{t}{6}$ time

$E=P_1\times t$

$E=P_2\times \frac{t}{6}$

$P_1\times t=P_2\times \frac{t}{6}$

thus

$P_2=6P_1$

Second Crane requires 6 times more power than the slow crane

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Explanation:

This exercise should select some values such as the weight of the block m=0.250 kg and the density of the liquid ρ = 500 kg / m³ (water); with these values answer the question, for this we use the static equilibrium relations.

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