Which of the following two forces has greater magnitude? F_1^rightarrow = 20 Nx^

Question

Which of the following two forces has greater magnitude? F_1^rightarrow = 20 Nx^Hat + 15 N y F_26 rightarrow = 19 Nx^Hat - 18 N y F_1^rightarrow F_2^rightarrow F_1^rightarrow and F_2^rightarrow have the same magnitude. Which of the following two forces makes greater angle with respect to the +x axis? F_1^rightarrow = 20 Nx^Hat + 15 N y F_2^rightarrow = 195 Nx^Hat + 110 n y F_1^rightarrow F_2^rightarrow F_1^rightarrow and F_2^rightarrow have the same magnitude. On a force table, two masses, 1, 956.95g and 1, 883.29g, are hanging at angle 30 degree and 80 degree, respectively. What is the magnitude of the force (in unit of Newton) necessary to balance the two masses? _______

Explanation / Answer

5) magnitude of F1 = sqrt(20^2 + 15^2) = 25

magnitude of F2 = sqrt(19^2 + 18^2 ) = 26.17

F2 has greater magnitude

6) angle made by F1 = tan^-1(15/20) = 36.87

angle made by F2 = tan^-1 ( 110/195) = 29.42

F1 makes greater angle

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