a) [latex]c = frac{Q}{m* Delta T } /* m * Delta T c * m * Delta T = Q / : c * Delta T[/latex] [latex]m = frac{Q}{c * Delta T} [/latex] b) [latex] frac{T_1^2}{R_1^3} = frac{T_2^2}{R_2^3} [/latex] [latex]R_1^3 = frac{T_1^2* R_2^3}{T_2^2} [/latex] [latex]R_1 = sqrt[3]{ frac{T_1^2 * R_2^3}{T_2^2} } [/latex] c) [latex]T = 2 pi sqrt{ frac{l}{g} } /^2[/latex] [latex]T^2 = 4 pi ^2 * frac{l}{g } /* g T^2 * g = 4 pi ^2 * l /: T^2[/latex] [latex]g = frac{4 pi ^2l}{T^2} [/latex] d) [latex]F = frac{kq_1q_2}{r^2} /*r^2 F * r^2 = kq_1q_2 /:F [/latex] [latex]r^2 = frac{kq_1q_2}{F} [/latex] [latex]r = sqrt{ frac{kq_1q_2}{F} } [/latex] f) [latex] frac{1}{f } = frac{1}{x} + frac{1}{y} [/latex] [latex] frac{1}{y} = frac{1}{f} - frac{1}{x} [/latex] [latex] frac{1}{y} = frac{x- f }{fx} [/latex] [latex]y = frac{ fx }{x - f} [/latex]
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a)M
b)R1
c)G
d)R
f)Y
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