An archaeologist wants to determine some physical parameters regarding the movem

Question

An archaeologist wants to determine some physical parameters regarding the movement of the Tuthmosis I obelisk which is located at the Karnak Great Temple in Egypt. An obelisk is a tall, four-sided shaft of stone; usually tapering to a pyramidal point. The ancient Egyptians moved these large monuments by dragging them across the sand in sleds. The weight of the obelisk is 143 tons which is 2.86 x 10 ^ 5 pounds which gives a mass of approximately 1.3 x 10 ^ 5 kg. A) Determine how many Egyptians were needed to drag this obelisk at constant velocity if the coefficient of kinetic friction for the sled on the sand is 0.4 and assuming that each Egyptian worker exerted a horizontal force of 400 N.

Explanation / Answer

A) F= mg = 0.13 x 0.4 x 10^5 N
No of workers reqd:

0.52 x 10^5/400 =0.13 x 103 workers

B) Work Done

W = F.dS

= 400 x 1000 = 400000 J

In calories = 400000 J/4.2 = 95238.09 calories

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