Which of the following statements is true?
A. The equation K.E.= 1/2 Mv^2 can only be used with SI units.
B. In the equation K.E.= 1/2 Mv^2, the number 1/2 has no units.
C. The equation P.E.=Mgh can only be used with SI units.
D. In the equation P.E.=Mgh, the quantity g has the same units as a velocity.
E. All of the above are true.
A. Incorrect. This is a fundamental equation that can be used in any system of units.
B. Correct. Mass times velocity times velocity gives a number with the dimension of energy, so the ½ has no dimensions.
C. Incorrect. This is a fundamental equation that can be used in any system of units.
D. Incorrect. The quantity g is the acceleration due to gravity. Acceleration is the derivative of velocity with respect to time and has different units than velocity.
E. Incorrect. Check again. One of the statements is false.
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