14. A stone with a mass of 0.5 kg falls from a cliff. The stone was initially at rest when it began falling. Calculate the height from which the stone must fall in order for the kinetic energy of the stone to be 200 J
just before it hits the ground. (g = 9.81 m/s2)?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect