ENGINEERING APPLICATION ONE OF HE MOST POWERFUL CRANES IN THEWORLD OPERATES IN S

Question

ENGINEERING                                                                                                                                                                                                      APPLICATION ONE OF HE MOST POWERFUL CRANES IN THEWORLD OPERATES IN SWITZERLAND. IT CAN SLOWLY LIFT A 6000 t LOAD TO AHEIGHT OF 12.0 m. ( NOTE THAT 1 t = ONE TONNE IS SOMETIMES CALLED A METRIC TON.IT IS A UNIT OF MASS NOT FORCE, AND IS EQUAL TO 1000kg ) A)HOW                                                                                                                                                                MUCH WORK IS DONE BY THE CRANE DURING THE LIFT?
B) IF IT TAKES 1.00 MIN TO LIFT THISLOAD TO THIS HEIGHT AT CONSTANT VELOCITY, AND     THE CRANE IS 20 PERCENTEFFICIENT, FIND THE TOTAL ( GROSS ) POWER RATING OF     THE CRANE. ENGINEERING                                                                                                                                                                                                      APPLICATION ONE OF HE MOST POWERFUL CRANES IN THEWORLD OPERATES IN SWITZERLAND. IT CAN SLOWLY LIFT A 6000 t LOAD TO AHEIGHT OF 12.0 m. ( NOTE THAT 1 t = ONE TONNE IS SOMETIMES CALLED A METRIC TON.IT IS A UNIT OF MASS NOT FORCE, AND IS EQUAL TO 1000kg ) A)HOW                                                                                                                                                                MUCH WORK IS DONE BY THE CRANE DURING THE LIFT? A)HOW                                                                                                                                                                MUCH WORK IS DONE BY THE CRANE DURING THE LIFT?
B) IF IT TAKES 1.00 MIN TO LIFT THISLOAD TO THIS HEIGHT AT CONSTANT VELOCITY, AND     THE CRANE IS 20 PERCENTEFFICIENT, FIND THE TOTAL ( GROSS ) POWER RATING OF     THE CRANE. ENGINEERING                                                                                                                                                                                                      APPLICATION ONE OF HE MOST POWERFUL CRANES IN THEWORLD OPERATES IN SWITZERLAND. IT CAN SLOWLY LIFT A 6000 t LOAD TO AHEIGHT OF 12.0 m. ( NOTE THAT 1 t = ONE TONNE IS SOMETIMES CALLED A METRIC TON.IT IS A UNIT OF MASS NOT FORCE, AND IS EQUAL TO 1000kg )

Explanation / Answer

given the mass m = 6000 t = 6*106kg the height is h = 12 m then the work done = change in the potential energy =mgh                                                                        = 6*106 kg * 9.8 m/s2 * 12m                                                                         =705.6*106 J

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