A heavy rope, 40 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 110 ft high. (Let x be the distance in feet below the top of the building. Enter xi* as xi.)
(a) How much work W is done in pulling the rope to the top of the building?
Show how to approximate the required work by a Riemann sum.
Express the work as an integral.
Evaluate the integral.
(b) How much work W is done in pulling half the rope to the top of the building?
Show how to approximate the required work by a Riemann sum.
Express the work as an integral.
Evaluate the integral.