In a physics lab experiment, a compressed spring launches a 32 g metal ball at a 35degree angle. compressing the spring 18 cm causes the ball to hit the floor 1.5m below the point at which it leaves the spring after traveling 6.0m horizontally.

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

19. determine the final state and its temperature when 150.0 kj of heat are added to 50.0 g of water at 20 ºc. (specific heat of water = 4.184 j/g ºc; specific heat of steam = 1.99 j/g • ºc; ∆hfus (h2o) = 6.01 kj/mol; ∆hvap (h2o) = 40.79 kj/mol). (5 points)

List all the possible quantum numbers m for 3p state.