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PhysicsQ&A Libraryhen-5.0 units of forceg?120°Knote3.0 units of forceFIGURE P3.43?44. || Four forces are exerted on the object shown in FIGURE P3.44.(Forces are measured in newtons, abbreviated N.) The net force onthe object is Fnet = F¡ + F, + F,+ F, = 4.0î N. What are (a) F,and (b) F,? Give your answers in component form.%3D6.0 N F,20°X-F45.0 NIdon FIGURE P3.44P3.45 shows four electric charges located at the cornersnel each other whileQuestion

Asked Feb 10, 2020

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#44

Step 1

**Given information:**

The resultant of all the forces (F_{r}) = 4i N

The magnitude of the force (F_{1}) = -5j N (-ve y direction)

The magnitude of the force (F_{2}) = 6 N at direction which makes 20^{0} with +ve x-axis.

= 6.Cos(20^{0}) i + 6.Sin(20^{0}) j

= 5.63 N i + 2.05 N j

Step 2

From the diagram we can say that the vertical forces are balancing each other hence we can write:

F_{3 }+ F_{2}sin(20) + F_{1} = 0

F_{3} = 5 N - 2.05 N = 2.95 N j

Step 3

Since the resultant is in “+ve” x-direction we can write the force balance equation as follows:

F2...

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