A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.11 N downward, and the force of the wind on the apple is 1.18 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N. Part 2: What is the direction of the net external force on the apple (measured from the downward vertical, so that the angle to the right of downward is positive)? Answer in units of ◦

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CarliReifsteck CarliReifsteck · Answer 1 · 2020-10-26T17:07:05+01:00

Answer:

The net external force on the apple is 9.18 N and the direction of net force is 82.6°.

Explanation:

Given that,

Force of gravity = 9.11 N

Force of wind = 1.18 N

We need to calculate the net external force on the apple

Using formula of net force

[tex]F'=\sqrt{(9.11)^2+(1.18)^2+2\times1.18\times9.11\cos90}[/tex]

[tex]F'=9.18\ N[/tex]

We need to calculate the direction of net force

Using formula of direction

[tex]\theta=\tan^{-1}(\dfrac{9.11}{1.18})[/tex]

[tex]\theta=82.6^{\circ}[/tex]

Hence, The net external force on the apple is 9.18 N and the direction of net force is 82.6°.

onyebuchinnaji onyebuchinnaji · Answer 2 · 2021-10-28T19:42:48+02:00

The magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.

The given parameters;

The magnitude of the net external force on the apple is calculated as follows;

[tex]F= \sqrt{F_y^2 + F_x^2} \\\\F= \sqrt{9.11^2 + 1.18^2} \\\\F = 9.19 \ N[/tex]

The direction of the net external force on the apple is calculated as follows;

[tex]\theta = tan^{-1}(\frac{F_y}{F_x} )\\\\\theta = tan^{-1}(\frac{9.11}{1.18} )\\\\\theta = 82.6 \ ^0[/tex]

Thus, the magnitude of the net external force on the apple is 9.19 N and the direction of the net external force is 82.6⁰.

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