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- τη Using the analytical vector addition . method, calculate A + B where A = 60.0 km/h at 72° and B = 3.00 x 10² km/h at 190 ΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔAssume: r, x, x0 have units of m. v, vO have units of m/s. a has units of m/s/s. m, m1, m2 have units of kg. F, N, T, f have units of kg*m/s/s What is the correct dimension of this formula: f(x – ao) [M][L]/[T]^2 O [M][L]/[T] [M][T]^2/[L]^2 [M][L]^2/[T]^2The primary dimensions of the constants (a, b) given in the equation F(y) = V (by –- ab) are equal to: Where: F: Force, V : Velocity, Y : Length A. b = -, b = а. a 1²L²° b. | a = [M²L²] C. a = M [L], b [LT. d. a =
- given that A+2B = x1j +y1j and 2A-B = x2i + y2j what is A?The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help yououtA force vector has a magnitude of 578 newtons and points at an angle of 44o below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector?
- The value of (x-y)dx + xdy, where C' is x² + y² = 2 с (A) T (B) 2π (C) 3л (D) 4πVector R is defined as the vector sum of vectors A and D (R = À + D) shown below. Whatare the vector components of vector R?If D = (6.00î – 4.00ĵ) m, B = (-3.0oî + 5.00ĵ) m, and A = (-24.0î + 4.00ĵ) m, find the unknown constants a and b such that aD + bB + A = 0. a = b =
- a) Km? b) mm? c) inches? fuel mileage of a certain car is 28 mpg (mi/gal). What is it in units of km/L? 013km. ) galQ1) A) Find the answers to the following problems using the rule of Significant Figures a) (10.4168) m - (6.0) m b) (1.31) ст х (2.3) сm c) (5.7621) m / (6.201) m d) (2.5000) m + (32.85) m B) Represent each answer above in the scientific notationConvert 1.050 g/cm3into base SI units. Express your answer in scientificnotation with the correct number of significant figures.