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Lane is pushing a box with a force of 308 newtons at an angle of 32o with the horizontal. her sister is pushing the box with a force of 287 newtons at an angle of 22o with the horizontal. determine the magnitude and direction of the resultant force on the box. please help i will give brainliest hurry

Respuesta :

The magnitude and the direction of force 592.73 N and 332.748

What is force?

A force is an effort that changes the state of an object at rest or at motion.

Given:

F1= 308 N, angle = 32

F2= 287 N, angle= 22

F1= < 308 cos 32, 308 sin 32>

F1= <261.198, 163.215>

F2= < 287 cos 22, 287 sin 22>

F2= < 266.101, 107.512>

F1+ F2= <527.299, 270.727>

Now, F= |F1 + F2|

F=√ 527.299² + 270.727²

F=√278044.2354 + 73293.1085

F= 592.73 N

[tex]\theta[/tex][tex]= cos^{-1}[/tex] ( 527.299 / 592.73)

[tex]\theta[/tex]= 27.252

Now Actual [tex]\theta[/tex]= 360- 27.252

= 332.748

Learn more about force here:

https://brainly.com/question/14003764

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