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Galactic Alliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spacecraft, which is being moved in one dimension in the tractor beam of the ship named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 10¹0 J (where 1 J 1 N m). GAJMO Nermalloy knows that the change in kinetic energy of an object moving in one dimension is equal to the net work performed on it, where net work is the integral of the component of net force in the direction of motion with respect to the position of the of the object. That is: KE₂-KE₁ = F(x) dx. The net force exerted by the tractor beam is supposed to be constant, Fo= -3.5 × 10° N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position is given by F(x) = ax³ +3, where a = 6.1 × 10-9 N/m³ and B-4.1 x 10 N. Assume the supply spacecraft had an initial kinetic energy of KE₁=2.7 x 10¹¹ J and that the tractor beam force is applied on the spacecraft over a distance of 7.5 x 10¹ m away from its beginning position at a 0.0 m. ▼ Part D Evaluate the final kinetic energy of the supply spacecraft if the tractor beam force had been Fo. View Available Hint(s) KE₂ ⁰4 μA Value 1 C Units ?

Galactic Alliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spacecraft, which is being moved in one dimension in the tractor beam of the ship named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 10¹0 J (where 1 J 1 N m). GAJMO Nermalloy knows that the change in kinetic energy of an object moving in one dimension is equal to the net work performed on it, where net work is the integral of the component of net force in the direction of motion with respect to the position of the of the object. That is: KE₂-KE₁ = F(x) dx. The net force exerted by the tractor beam is supposed to be constant, Fo= -3.5 × 10° N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position is given by F(x) = ax³ +3, where a = 6.1 × 10-9 N/m³ and B-4.1 x 10 N. Assume the supply spacecraft had an initial kinetic energy of KE₁=2.7 x 10¹¹ J and that the tractor beam force is applied on the spacecraft over a distance of 7.5 x 10¹ m away from its beginning position at a 0.0 m. ▼ Part D Evaluate the final kinetic energy of the supply spacecraft if the tractor beam force had been Fo. View Available Hint(s) KE₂ ⁰4 μA Value 1 C Units ?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Galactic Alliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spacecraft, which is being moved in one dimension in the tractor beam of the ship named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 10¹0 J (where 1 J = 1 N·m). GAJMO Nermalloy knows that the change in kinetic energy of an object moving in one dimension is equal to the net work performed on it, where net work is the integral of the component of net force in the direction of motion with respect to the position of the of the object. That is: KE2 – KE₁ = 7² F(x) dx. x 1 The net force exerted by the tractor beam is supposed to be constant, Fo −3.5 × 106 N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position is given by F(x) = ax³ + ß, where a = 6.1 × 10−⁹ N/m³ and B = -4.1 × 106 N. Assume the supply spacecraft had an initial kinetic energy of KE₁ = 2.7 × 10¹¹ J and that the tractor beam force is applied on the spacecraft over a distance of 7.5 × 104 m away from its beginning position at x = = 0.0 m. == -9 Part D Evaluate the final kinetic energy of the supply spacecraft if the tractor beam force had been Fo. ► View Available Hint(s) 0 ☐☐ μA KE₂ = Value Units ?
Transcribed Image Text:Galactic Alliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spacecraft, which is being moved in one dimension in the tractor beam of the ship named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 10¹0 J (where 1 J = 1 N·m). GAJMO Nermalloy knows that the change in kinetic energy of an object moving in one dimension is equal to the net work performed on it, where net work is the integral of the component of net force in the direction of motion with respect to the position of the of the object. That is: KE2 – KE₁ = 7² F(x) dx. x 1 The net force exerted by the tractor beam is supposed to be constant, Fo −3.5 × 106 N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position is given by F(x) = ax³ + ß, where a = 6.1 × 10−⁹ N/m³ and B = -4.1 × 106 N. Assume the supply spacecraft had an initial kinetic energy of KE₁ = 2.7 × 10¹¹ J and that the tractor beam force is applied on the spacecraft over a distance of 7.5 × 104 m away from its beginning position at x = = 0.0 m. == -9 Part D Evaluate the final kinetic energy of the supply spacecraft if the tractor beam force had been Fo. ► View Available Hint(s) 0 ☐☐ μA KE₂ = Value Units ?
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Part E Evaluate the final kinetic energy of the supply spacecraft for the actual tractor beam force, F(x) = ax³ + ß. ► View Available Hint(s) μÅ KE₂ = Value Units
Transcribed Image Text:Part E Evaluate the final kinetic energy of the supply spacecraft for the actual tractor beam force, F(x) = ax³ + ß. ► View Available Hint(s) μÅ KE₂ = Value Units
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