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Large and small numbers are often best entered in exponential notation. For exam

ID: 2244094 • Letter: L

Question

Large and small numbers are often best entered in exponential notation. For example, the mass of the earth is 5.98x1024 kg and the mass of an electron is 9.11x10-31 kg.  In Sakai exponential notation uses an E (or e) in front of the exponent so that the masses above (in kg) would be entered 5.98E24 and 9.11E-31. Note that there should be no spaces anywhere in the number, either before or after the E or the - sign. Enter your answers to the next question in exponential notation.

The charge of an electron is -1.60x10-19 C. Determine the charge to mass ratio of the electron (in C/kg). (Hint: divide the electron's charge by its mass; the answer is a negative number with a positive exponent)

Explanation / Answer

the charge to mass ratio = -1.6x10^-19/(9.1x10^-31) = - 0.175 x 10^12 = -1.75 x 10^11 C/kg