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kirill [66]
3 years ago
11

The three forces shown act on a particle. what is the direction of the resultant of these three forces?

Physics
1 answer:
melisa1 [442]3 years ago
7 0
Missing figure: http://d2vlcm61l7u1fs.cloudfront.net/media/f5d/f5d9d0bc-e05f-4cd8-9277-da7cdda3aebf/phpJK1JgJ.png

Solution:
We need to find the magnitude of the resultant on both x- and y-axis.

x-axis) The resultant on the x-axis is
F_x = 65 N\cdot cos 30^{\circ} - 30 N - 20 N\cdot sin 20^{\circ} = 19.45 N
in the positive direction.

y-axis) The resultant on the y-axis is
F_y = 65 N \cdot sin 30^{\circ} - 20 N \cdot cos 20^{\circ} = 13.70 N
in the positive direction.

Both Fx and Fy are positive, so the resultant is in the first quadrant. We can find the angle and so the direction using
\tan \alpha =  \frac{F_y}{F_x} = \frac{13.70 N}{19.45 N}=0.7
from which we find 
\alpha=35^{\circ}
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The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.

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Let suppose that planet and satellite can be treated as particles. The masses of Earth and Moon (m_{E}, m_{M}) are 5.972\times 10^{24}\,kg and 7.349\times 10^{22}\,kg, respectively. The distance between centers is 384,403 kilometers. The location of the center of mass can be found by using weighted averages:

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If x_{E} = 0\,km and x_{M} = 384,403\,km, then:

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Answer:

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Explanation:

From the question given above, the following data were obtained:

Pressure (P) = 1.9 kPa

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Force (F) =?

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1 KPa = 1000 N/m²

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Next, we shall convert 10 cm to m. This can be obtained as follow:

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F = 19 N

Therefore, a force of 19 N must be exerted on the sensor in order for it to turn red.

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