An athlete swings a 4.00 kg ball horizontally on the end of a rope. the ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. (a) what is the tangential speed of the ball? m/s m/s2 m/s (b) what is its centripetal acceleration? (c) if the maximum tension the rope can withstand before breaking is 136 n, what is the maximum tangential speed the ball can have?

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