A proton traveling at 28.0° with respect to the direction of a magnetic field of strength 2.98 mT experiences a magnetic force of 7.63 × 1017 N. Calculate (a) the proton's speed and (b) its kinetic energy in electron-volts. (a) Number Units m/s (b) Number 603.12 Units eV

What is the square root of 1023? (Hints: 10 is an integer number. Integer numbers are exact, they don't have any uncertainty. The result however is going to be a real number. Computers approximate real numbers using floating point numbers. Floating point numbers have a given number of significant figures or digits. LON-CAPA typically expects 3, 4 or 5 digits. 2 or 1 is not enough, 6 or more is too many. Very large or very small numbers are expressed in scientific or exponential notation like the number above. Numbers in scientific notation are entered to computer software - like LON- CAPA as 1.23E15 or 1.23e15, for example; and 1.23E-15 or 1.23e-15, if the exponent is negative. If both the number and the exponent are negative, then you type -1.23E- 15 or -1.23e-15. On calculators the button is usually labelled as 'EE', but 'E' or 'EEX' or 'Exp' are also possible.)

(a) A car speedometer has a 6% uncertainty. What is the range of possible speeds (in km/h) when it reads 100 km/h? (There are two answers. Enter the lowest value first and the highest value second. For each answer, enter a number.) lowest          km/hhighest         km/h (b) Convert this to miles per hour. (There are two answers. Enter the lowest value first and the highest value second. For each answer, enter a number.) lowest            mi/hhighest           mi/h

how did you go from 1=e^-r/a(1+r/a) to the units just being meters?