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- In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .Explain why a vector cannot have a component greater than its own magnitude.(II) Estimate how many hours it would take to run (at 10km/h) across the U.S. from New York to California.
- (II) Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s²), t the time, and the subscript zero (0) means a quantity at time t = 0: (a) x = vt2 + 2at, (b) x = vot + at², and (c) x = vot + 2at?. Which of these could possibly be correct according to a dimensional check?Can someone solve this question, but in the S.I. units meters per second (m/s).(II) Determine the conversion factor between (a) km/h and mi/h,(b) m/s and ft/s,(c) km/h and m/s.
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- An Electron Evaporator. Electron beams are sometimes used to melt and evaporate metals in order to deposit thin metallic films on surfaces (similar to gold plating). One method is to put the material to be evaporated (called the "target") into a small tungsten cup (a crucible that has a very high melting point) and direct a beam of electrons at the target. Your team has been given the task of designing an electron-beam evaporator. The crucible is a cylinder, 2.0 cm in diameter and 1.5 cm in height, and contains a small target of pure nickel (Ni). The electrons are accelerated through a potential difference of V = 1.20 kV, and form a beam that originates below the crucible, exactly D = 3.70 cm off its center, in the +x direction (see the drawing). Field region Electron beam (a) What is the speed of the electrons in the beam? (b) You must steer the electron beam with a magnetic field so that it curls over the lip of the cup and strikes the nickel target. Assuming that a uniform field…A marathon runner averages 9.0 mi/h. How long does it take them to run a 26.76-mi marathon in hours? Hint h. Entor an integer or decimal number, with exactly 2 significant figures [more..] The time it takes to complete the marathon is |Jim stands beside a wide river and wonders how wide it is. He spots a large rock on the bank directly across from him. He then walks upstream 65 strides and judges that the angle between him and the rock, which he can still see, is now at an angle of 30° downstream (Fig. 1–20). Jim measures his stride 30° ! to be about 0.8 m long. Estimate the width of the river. FIGURE 1-20 Problem 54. 65 Strides