Two forces of 25 pounds and 20 pounds act on a body with an angle of 25 degrees between them. What is the magnitude of the resultant force?

a) 13.23 pounds
b) 38.78 pounds
c) 43.95 pounds
d) 53.23 pounds

Respuesta :

Answer:

C) 43.95 pounds

Step-by-step explanation:

got it right on edge :)

The magnitude of resultant force is 43.95 pounds.

The option c is correct.

Resultant force:

Two forces are given that,

[tex]F_{1}=25, F_{2}=20,\theta=25 degree[/tex]

The resultant force is calculated by using formula,

         [tex]F=\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}cos \theta } \\\\F=\sqrt{25^{2}+20^{2}+2*25*20*cos25 }\\\\F=\sqrt{625+400+906.307}\\ \\F=\sqrt{1931.307}=43.95[/tex]

Hence, the magnitude of resultant force is 43.95 pounds.

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