Ablock of mass m = 1.00 kg is attached to a spring of force constant k = 500 n/m. the block is pulled to a position xi= 5.00 cm to the right of equilibrium and released from rest. find the speed the block has as it passes through equilibrium if the coefficient of friction between block and surface is 0.350.

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.