Question

Four forces act on a hot-air balloon, as shown

Answer 1

The magnitude of the resultant force on the balloon is 374.13 N.

The given forces from the image;

• Upward force = 514 N
• Downward force = 267 N
• Eastward force = 678 N
• Westward force = 397 N

The net vertical force on the balloon is calculated as follows;

$F_y = 514 \ N \ \ - \ \ 267 \ N\\\\F_y = 247 \ N$

The net horizontal force on the balloon is calculated as follows;

$F_x = 678 \ N \ - \ 397 \ N\\\\F_x = 281 \ N$

The magnitude of the resultant force on the balloon is calculated as follows;

$F = \sqrt{F_y^2 + F_x^2} \\\\F = \sqrt{(247)^2 + (281)^2} \\\\F= 374.13 \ N$

Thus, the magnitude of the resultant force on the balloon is 374.13 N.

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