Amagnesium alloy bar 6 in. in diameter is being turned on a lathe at a depth of cut d = 0.050 in. the lathe is equipped with a 10-hp electric motor and has a mechanical efficiency of 80%. the spindle speed is 500 rpm. estimate the maximum feed that can be used before the lathe begins to stall.(0.45 w-s/mm^3 value of specific power for magnesium alloy)

Awater balloon launcher uses an elastic band with a spring constant of 115 n/m to use thee launcher you stretch thee band back with a balloon n it the water balloons have a mass of 1.3 kg a) if you stretch the band by 0.8 m, what elastic force will the band exert? b) with the band stretched 0.8 m, how much elastic potential energy is stored in the spring? c) if you release the band, it pushes forward. what is the kinetic energy of the balloon when it reaches the natural length of the band? d) what is the speed of the balloon when it reaches the natural length of the band?