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bekas [8.4K]
3 years ago
13

A crane lifts an I-beam up the side of a building. The crane's power output is 1750W for 20 seconds. After 20 seconds the I-beam

was moving at 2 m/s and the mass has 200 kg. Use the work-energy process to determine the change in height of the I-beam.​
Physics
1 answer:
Arada [10]3 years ago
3 0

Explanation:

This is one of those great problems that is harder to read than to solve!

Remember the following...

Power is the amount of work done over time. P = \frac{W}{t}

and that work is Force times distance. W = F * d

and that Force is just mass times acceleration. F = m * a

So... nesting all the equations together we might get something that looks like. P = \frac{m*a*d}{t}

We know the power, the time, the acceleration (at this given time) and the mass. We can then solve for d. d = \frac{P*t}{m*a}

Plug and chug!

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Answer:

V = 90.51 m/s

Explanation:

From the given information:

Initial speed (u) = 0

Distance (S) = 391 m

Acceleration (a) = 18.9 m/s²

Using the relation for the equation of motion:

v² - u² = 2as

v² - 0² = 2as

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v = \sqrt{2as}

v = \sqrt{2*18.9*391}

v = 121.57 m/s

After the parachute opens:

The initial velocity = 121.57 m/ss

Distance S' = 332 m

Acceleration = -9.92 m/s²

How fast is the racer can be determined by using the relation:

V=  \sqrt{v^2 + 2aS'}

V = \sqrt{121.57^2+ 2 (-9.92)(332)}

V = 90.51 m/s

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Answer:

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F = 8 N

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