Answer Happy

The problems to solve are at the end, this is the theory in case you need to look at it. Make perfect use of rounding rules, significant figures and so on. In general, this topic is simple so I need you to solve everything as quickly as possible. If you can't solve all the problems, just ignore this question. Formulas to use: A = a + Aa a is Average value; ▲a is the measurement error, absolute uncertainty, or deviation. such notation is a shorthand way of representing the range of values [a-sa, a + sa] Relative or Fractional Error/Uncertainty can also be presented as a percentage 2-Subtraction of errors Sarel Sarel 1-Sum of errors [simplified formula] = 3-Multiplication by a constant k Δα a The error Aa of any quantity is called "Standard deviation", and can be symbolized in various ways, the most common being a i.e: ▲a = %a Δα a A = a + Aa= a ± %a units B = b ± Ab = b ± ₂ units = * 100% A + B = (a + b) ± √(0₂)²+(0₂)² A - B = (a - b) ± √(0₂)² + (0₂)² kA ka koal
4-Error multiplication [simplified formula] PD: da = 0; 8₁ = %b a b 2 AB = (ab) ± |ab|6a² + ₂² 5-Power [repeated multiplication] of errors [simplified formula] A = a" ± |na(n-1) al 6-Error division [simplified formula] Sa = 8₂ 2 = ob b A 2 = (3) ± √ √²₂² +4₂² 2 + B 7-Functions that depend on quantities with errors Suppose we have any function y = f(X) and that "X" has errors, that is X = x= Ax: so "and" is really y = f(x) = f(x + Ax) 8- Functions (of 1 variable) that depend on quantities with errors y = f(x + ₂) =y±oy = f(x) ±f'(x). Tx
Problems to solve Linear function Let f(t)=(3.5+-0.2)t+(22.9+-0.1). Calculate the value of f(t) when t (2.14+-0.43). 34.4 ±12.6 30.4+ 1.6 30.4 ± 7.6 30.4 +2.6 Theory of errors - Addition, subtraction, multiplication, division. Let the electric force between two charged particles be F=(22.55+-0.21)q1*q2/r^2 Newtons. If the positive electric charge q1=(15.56+-0.11) Coulombs, and the positive electric charge q2=(11.12+-0.3) Coulombs, calculate the force of repulsion between both charges if the separation distance is r=(1.2+- 0.11)m 2710.0 + 50.0 2710.0 + 500.0 N 2710.0 + 50.0 Coulobmbs 2710.0 + 50.0 unidades de fuerza Linear function- Let the speed of a car be v(t)=(7.7+-0.2)t+(2.59+-0.7)m/s, where t=time. Calculate the value of v(t) when t=(2.14+-0.43) seconds. 19.1 ±4.3 metros 19.1 +33.4 m/s 19.1 ±3.4 m/s 19.1 ±4.3 m/s
Potential function- Let be the dose of a medicine, d(x)=(88.5+- 0.32)x^2+(2.72+-0.71)x+(1.7+-0.55) grams/mol, which depends on the concentration "x of a radioactive element. Calculate the value of the dose d(x) when x=(2.14+-0.43). 410.0 160.0 gr/mol 410.0 + 1.60 gr/mol 410.0 + 160.0 410.0 1600.0 gr/mol