For what value M of the clockwise couple will the horizontal component Ax of the pin reaction at A be zero? If a couple of that same magnitude M were applied in a counterclockwise direction, what would be the value of A,? 2.6 2.6' 1.5' 125 lb 1.5' M 59 Answers: M = i Ib-ft Ax = i Ib
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- In a hydrochloric acid (HCI) molecule, the distance between the hydrogen atom and the chlorine atom is 1.27 x 10 10 meters. The mass of an hydrogen atom is 2 atomic mass units (amu) and the mass of a chlorine atom is 35 amu. How far from the hydrogen (H) atom is the center of mass of the molecule, in meters? Justify your answer using your equations and rationale used.In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ iVector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A dot B). The value of C is:
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- The laboratory balances have a precision of 0.01g. If you are obtaining the mass of an approximately 5 gram sample, which of the following is a proper way to record this measurement in your laboratory notebook and on your report sheets. 4.92 g 4.92 4.925 g 5.00 gTwo vectors have the following magnitude, A = 8.7 m and B = 10.6 m. Their vector product is: A:B = -2.7 m i+ 8.6 m k. What is the angle (in degrees) between the vectors A and B? Hint: Use |A:B| = AB sin(0) Note: Bold face letters represents a vector.The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:
- 1.Given the diagram of vectors v and w below (a) Use the graph to geometrically find v + w (b) Use the graph to geometrically find v – w (c) Write v in component form: _____________ (d) Write w in component form: _____________ (e) Algebraically calculate the sum v + wSchwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]