Aball with an initial velocity of 8.00 m/s rolls up a hill without slipping. (a) treating the ball as a spherical shell, calculate the vertical height it reaches. (b) repeat the calculation for the same ball if it slides up the hill without rolling.

Four point charges each having charge q are located at the corners of a square having sides of length a. find symbolic expressions for the following. (a) the total electric potential at the center of the square due to the four charges (use any variable or symbol stated above along with the following as necessary: ke.) vtotal= (b) the work required to bring a fifth charge p from infinity to the center of the square (use any variable or symbol stated above along with the following as necessary: w=