Spider is lightweight, with a 0.01kg mass. In equilibrium, the spider's four spring steel legs suspend its body 0.035m above a flat table top. Compressing the legs so that the body touches the tabletop, a suction cup clamps it against the surface. But eventually, the suction cup releases with a "pop" and the spider's body rises 0.6m above the table top.

1. when the spider reaches maximum height above the tabletop, it has only gravitational potential energy, what is the numeric value of its gravitational potential energy at this height?

2. While the body of the spider is clamped to the table by its suction cup, it has only spring potential energy. Use conservation of energy to determine the numeric value of spider's spring potential energy while is clamped to the table.

3. Determine the numeric value of the spider leg's spring constant.

4. As the spider's body rises from the tabletop, its speed is always changing. At what height above the tabletop does the spider have mixumum speed?

5. Use conservation of energy to determine the numeric value of spider's maximum speed?