Question #1: consider eratosthenes's experiment to measure the size of the earth. suppose the earth were a smaller planet -- but the sun were still directly overhead in syene at noon on the summer solstice, and it was still 500 miles from syene to alexandria. would the shadow of the stick in alexandria at noon on the summer solstice have been longer, shorter, or the same as it was on our earth? briefly explain your reasoning.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 740 n/m. it is initially at rest on an inclined plane that is at an angle of theta= 26 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uk = 0.17. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. the block's initial mechanical energy is 9.472 j.b. if the spring pushes the block up the incline, what distance l in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.