advertisement

SPH3U: Physics Math Part C and D PART C: Create The Unit Determine the scientific (SI) units of the following quantities: 1. volume (length x width x height) 2. acceleration (velocity/time) 3. density (mass/volume) 4. force (mass × acceleration) 8. electric field (force/charge) – charge is in Coulombs (C) 9. work (force × distance) 10. energy (e.g., gravitational potential energy = mgh = mass × gravitational acceleration × height) 5. charge (current × time) 6. pressure (force/area) 7. (volume)2 11. square root of area PART D: Formulas and Dimensional Analysis 1. 2. Given mv = Ft, where m is mass, v is speed, F is force, and t is time, what are the units of each side of the equation? Is the equation correct? How do the dimensions help you decide? Given x = xo + vot + ½at2, where x is the final position, t is the time, xo is the initial position, vo is the initial speed, and a is constant acceleration, what are the units of each side of the equation? Is the equation dimensionally correct? 3. Given P = , where P is pressure, is density, g is gravitational acceleration, and h is height, what are the units of each side of the equation? Is the equation dimensionally correct? 4. Given H = mC, where H is in joules, m in kilograms, and in kelvin, what are the SI units of C? Physics Math Assignment Answers: PART C: 1. m3 2. m/s2 3. kg/ m3 4. kg m or N s2 5. As 6. kg m kg 2 m = 2 s m s2 7. m6 kg m C s2 kg m 2 9. Nm or s2 kg m 2 10. s2 8. N/C or 11. m PART D: kg m s 1. YES, 2. YES, m 3. NO, 4. kg kg 2 ms m s2 J kg K or N/m2