A building contractor wants to lift 25 sections of steel pipe together each 10 m longThe pipe is stamped “50 kg/m”(a) How much force (in SI units) must the crane by capable of lifting? (b) If the crane lifts this to the top of a building 30 m high, what is the amount of work done in SI units(c) If this is done in 10 seconds, what is the power in SI unitsCould you answer each part?
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Answers - (a) Force 122,625 N (b) Work 3,678,750 N-m (also could be expressed with the unit Joule (J), with same number ) (c) Power 367,875 W Where to begin before doing anything else: Given 25 pieces of pipe, each 10 m long length 25 pipe 10 m 250 m of pipe To find the mass multiply length by the given stamp 250 m (50 kg / m) 12,500 kg m 12,500 kg (a) Using gravity 9.81 m/s^2 and Newton's 2nd Law F m a F (12,500 kg) (9.81 m/s^2) F 122,625 N (b) Work Force Displacement W F d W (122,625 N) (30 m) W 3,678,750 N-m (c) time 10 s Power Work / Time P W / t P (3,678,750 N-m) / (10 s) P 367,875 W
