A 17,000- k g jet takes off from an aircraft carrier via a catapult. The gases t
ID: 249923 • Letter: A
Question
A 17,000-kg jet takes off from an aircraft carrier via a catapult. The gases thrust out from the jet's engines exert a constant force of 135 kN on the jet; the force exerted on the jet by the catapult is plotted in the figure. Part a: Determine the work done on the jet by the gases expelled by its engines during launch of the jet. Part b: determine the work done on the jet by the catapult during the launch of the jet. A 17,000-kg jet takes off from an aircraft carrier via a catapult. The gases thrust out from the jet's engines exert a constant force of 135 kN on the jet; the force exerted on the jet by the catapult is plotted in the figure. Part a: Determine the work done on the jet by the gases expelled by its engines during launch of the jet. Part b: determine the work done on the jet by the catapult during the launch of the jet. The gases thrust out from the jet's engines exert a constant force of 135 kN on the jet; the force exerted on the jet by the catapult is plotted in the figure. Part a: Determine the work done on the jet by the gases expelled by its engines during launch of the jet. Part b: determine the work done on the jet by the catapult during the launch of the jet. The gases thrust out from the jet's engines exert a constant force of 135 kN on the jet; the force exerted on the jet by the catapult is plotted in the figure. Part a: Determine the work done on the jet by the gases expelled by its engines during launch of the jet. Part b: determine the work done on the jet by the catapult during the launch of the jet. The gases thrust out from the jet's engines exert a constant force of 135 kN on the jet; the force exerted on the jet by the catapult is plotted in the figure. Part a: Determine the work done on the jet by the gases expelled by its engines during launch of the jet. Part b: determine the work done on the jet by the catapult during the launch of the jet. The gases thrust out from the jet's engines exert a constant force of 135 kN on the jet; the force exerted on the jet by the catapult is plotted in the figure. Part a: Determine the work done on the jet by the gases expelled by its engines during launch of the jet. Part b: determine the work done on the jet by the catapult during the launch of the jet.Explanation / Answer
From the graph, the plane moves a distance (displacement) of x = 85m while being launched.
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a) The force from the gases is constant (1.35x10N) so we can calculate the work done by the gases using force * displacement
W = Fx
= 1.35x10 * 85
= 1.1x10 J (to 2 significant figures)
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b) From the graph, the force from the catapult decreases from 1147500x10³N to 65x10³N.
We can find the work done by the catapult in 2 ways:
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Work done by catapult = area under the graph
(The area is a trapezium or can be split into a triangle and rectangle)
W= ½*85*(1147500*10³ - 65*10³) + (65*10³*85)
= 4.399*10 + 5.525*10
= 4.87*1010 J (to 2 significant figures)
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