10. Four forces act on a hot-air balloon, shown from
the side in the figure below. Find the magnitude and
direction of the resultant force on the balloon.
enollsugano
mu
5120 N
1520 N
nomina
coat
950 N
Bideo
bi
biswerwobler
SI
vo
4050 N

Answers

Answer 1

The resultant of the four forces on the balloon is 1,212.35 N at 62⁰.

The given parameters;

Force applied to the north = 5120 NForce applied to the west = 1520 NForce applied to the east = 950 NForce applied to the south = 4050 N

The resultant vertical force is calculated as follows;

[tex]F_y = 5120 \ N - 4050 \ N\\\\F_y = 1,070 \ N[/tex]

The resultant horizontal force is calculated as follows;

[tex]F_x = 1520 \ N - \ 950 \ N\\\\F_x = 570 \ N[/tex]

The resultant of the four forces is calculated as follows;

[tex]F = \sqrt{F_y^2 + F_x^2} \\\\F = \sqrt{(1,070)^2 + (570)^2} \\\\F = 1,212.35 \ N[/tex]

The direction of the force is calculated as follows;

[tex]\theta = tan^{-1} (\frac{1070}{570} )\\\\\theta = 62^0[/tex]

Thus, the resultant of the four forces on the balloon is 1,212.35 N at 62⁰.

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Answer:

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Answers

Answer:

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Answer:

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Answers

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Answers

Answer:

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Answers

Answer:

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At the 8.0 m height

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