Version A 1.Units and Vectors (8 points) a.In SI units, energies are measured in units called Joules, where 1.00 Joule = 1.00 kg m2/s2. An alternative unit of energy is the Dyne: 1.00 Dyne = 1.00 g cm2/s2. How many Dynes are there in 2.50 Joules? 2322272210 g10 cm1Dyne2.50 kg m /s2.5010 Dyneskgm1.00 g cm /s⎛⎞⎛⎞⎛⎞×××=×⎜⎟⎜⎟⎜⎟⎝⎠⎝⎠⎝⎠A: 2.50×107Dynes B: 4.25×107Dynes C: 6.50×107Dynes D: 6.50×107Dynes b.The vector Ahas a magnitude of 5.00 m, and is oriented at an angle of +30.0° from the x axis. Find a vector B(in the form Bxi+ Byj) so that A– Bhas a magnitude of 4.00 m and is oriented in the direction of the positive y axis. ()()()()()()()4.00 m5.00 m cos5.00 m sin05.00 m cos4.33 m4.00 m5.00 m sin4.00 m1.50 m4.33 m1.50 myxyxxxxxyyyyyyABCjCjAACABBACABBACBijθθθθ−== +=====−=== +==−=−=−= −= ++ −GGGGGGGGA: Bx= 4.33 m, By= -1.50 m B: Bx= 4.60 m, By= +0.857 m C: Bx= 6.58 m, By =+0.394 m D: Bx= 0.867 m, By= -2.50 m
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