Aheavy rope, 50 ft long, weighs 0.4 lb/ft and hangs over the edge of a building 140 ft high. approximate the required work by a riemann sum, then express the work as an integral and evaluate it. how much work w is done in pulling the rope to the top of the building?

+15-35=-20

going in opposite directions

part 1: describe the mass and the surface temperature of dwarf stars.

part 2: explain using complete sentences where on the hr diagram you would expect to find a dwarf star based on its physical properties.

part 1: the mass of a dwarf star is very small and the surface temperature of dwarf stars are high and they have the lowest absolute brightness.

part 2: on the hr diagram you would expect to find a dwarf star based on its physical properties at an absolute brightness of -2 to -4

hope this