For this problem turn a Riemann sum into an integral. Divide the rope into small segment -4) The acceleration due to gravity on the Earth's surface is a=-9.80665k meters per second squared. For this problem, let's approximate this as a=-10k m/s^2. This means that gravity acting on a 5kg object exerts a force of F=ma=-50kN, where N, a Newton, is a unit of force equal to a kg*m/sec^2.

If I raise a 5kg object up 7 meters, I must do 350J of work, where J, a Joule, is a unit of work (or energy) equal to a N*m.(If I lower the object 7 meters, I'm doing -350j of work.) If a climber wants to pull up to herself a 50 meter long dangling rope whose density is 3kg/m, how much work must she do?