A heavy lifting crane is being used to stack cargo containers on the deck of a ship. The heaviest container weighs 10 tons (= 20, 000 pounds = 89,000 Newtons). How much force should the crane's cable support if it lifts this container with an upward acceleration of 1m/s²? How would this answer change if the crane were sliding the heaviest container up an inclined plane (frictionless) making an angle of 30 degrees with the horizontal. Please assume the crate lies flat on the plane and that the cable pulling it is parallel to the surface of the plane.

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A heavy lifting crane is being used to stack cargo containers on the deck of a ship. The heaviest
container weighs 10 tons (= = 89, 000 Newtons). How much force should the
crane's cable support if it lifts this container with an upward acceleration of 1m/s2? How
would this answer change if the crane were sliding the heaviest container up an inclined plane
(frictionless) making an angle of 30 degrees with the horizontal. Please assume the crate lies
flat on the plane and that the cable pulling it is parallel to the surface of the plane.
20,000 pounds
C C C CC
Transcribed Image Text:A heavy lifting crane is being used to stack cargo containers on the deck of a ship. The heaviest container weighs 10 tons (= = 89, 000 Newtons). How much force should the crane's cable support if it lifts this container with an upward acceleration of 1m/s2? How would this answer change if the crane were sliding the heaviest container up an inclined plane (frictionless) making an angle of 30 degrees with the horizontal. Please assume the crate lies flat on the plane and that the cable pulling it is parallel to the surface of the plane. 20,000 pounds C C C CC
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