The output of the machine is
(output work) = (output force) x (distance)
450 N-m = (output force) x (3 meters)
Divide each side
by 3 meters: Output force = (450 N-m) / (3 m)
= 150 newtons .
With all the information given about the output work, we don't need
to know anything about the input work, or even the fact that we're
dealing with a machine.
It's comforting, though, to look back and notice that the output work
(450 N-m) is not more than the input work (500 N-m). So everything
is nice and hunky-dory.
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Well, my goodness !
I didn't even need to go through all of that.
Given:
-- The input force to the machine is 50 newtons.
-- The mechanical advantage of the machine is 3 .
That right there tells us that
-- The output force of the machine is 150 newtons.
We don't need any of the other given information.
Answer:
B).315mph
Explanation:
Let the speed of the plane = p
Let the speed of the wind = w
Set up the system equation as;
Relative V: Time: Distance:
in wind direction: p + w 2 700
against wind: p - w 2.5 700
2(p + w) = 700
2.5(p - w) = 700
2p + 2w = 700
2.5p - 2.5w = 700
2.5 x: 5p + 5w = 1750
2 x: 5p - 5w = 1400
10p = 3150
p = 315 mph
Therefore, he speed of the plane in still air is 315 mph
Well this is just my opinion but I think because all the plants were gone they cant stop mud from rolling into it. Also when it rains the trees wont suck up the water, that will make it over flow and release into the land or dirt on the outsides of it. Mixing those two gives mud and it can potentially flow back in the river in largeish masses causing the river to mix with the mud makinging it more muddy. Hope this helps :D
Answer:
The answer to your question is:
a) h max = 529.7 m
b) t = 20.4 s
c) t = 20.6 s
Explanation:
a) h max = -(vo)² / 2g
= 100² / 2(9.81)
= 10000 / 19.62
= 509.7 m
total height = 509.7 + 20 = 529.7 m
b)
h = gt² / 2
t = √ 2h / g
t = √ 2(509.7)/9.81
t = √ 103.91
t = 10.19 s
total time = 2 x t = 2 x 10.19 = 20.4 s
c)
h = vot + 1/2gt²
20 = 100t + 1/2(9.91) t²
4.9t² + 100 t -20 = 0 quadratic equation
t = 0.19 s
Total time = 0.19 + 20.4 = 20.6 s