Question

Galactic Aliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spaceicraft, which is being moved in one dimension in the fractor 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 $ 10^{10} \mathrm{~J} $ (where $ 1 \mathrm{~J}=1 \mathrm{~N} \cdot \mathrm{~m} $ ). GAMMO Nermalloy knows that the change in kinetic energy of an objoct moving in one dimension is equal to the net work performed on if, where net work is the integral of the component of net force in the direction of mobion with respect to the position of the of the object. That is: $ \mathrm{KE}_{2}-\mathrm{KE}_{1}=\int_{x_{1}}^{x_{2}} F(x) d x $ The net force exerted by the tractor beam is supposed to be constant, $ F_{0}=-3.5 \times 10^{6} \mathrm{~N} $, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position $ x $ is given by $ F(x)=\alpha x^{3}+\beta $, where $ \alpha=6.1 \times 10^{-9} \mathrm{~N} / \mathrm{m}^{3} $ and $ \beta=-4.1 \times 10^{6} \mathrm{~N} $. Assume the supply spacecraft had an initial kinetic energy of $ \mathrm{KE}_{1}=2.7 \times 10^{11} \mathrm{~J} $ and that the trador beam force is applied on the spacecraft over a distance of $ 7.5 \times 10^{4} \mathrm{~m} $ away from its beginning position at $ x=0.0 \mathrm{~m} $. Part D Part E Evaluate the final knetic energy of the supply spacecrath for the actual tractor beam force, $ F(x)=\alpha x^{3}+\beta $. View Available Hint(s) \[ \begin{array}{l} \mathrm{KE}_{2}=\text { Value }_{\text {In }}+\mathrm{J} \end{array} \] Submit Previous Answers Incorrect; Try Again; 5 attempts remaining See the hints for tips on how to solve this problem.

          Galactic Aliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spaceicraft, which is being moved in one dimension in the fractor 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 \( 10^{10} \mathrm{~J} \) (where \( 1 \mathrm{~J}=1 \mathrm{~N} \cdot \mathrm{~m} \) ). GAMMO Nermalloy knows that the change in kinetic energy of an objoct moving in one dimension is equal to the net work performed on if, where net work is the integral of the component of net force in the direction of mobion with respect to the position of the of the object. That is:
\( \mathrm{KE}_{2}-\mathrm{KE}_{1}=\int_{x_{1}}^{x_{2}} F(x) d x \)
The net force exerted by the tractor beam is supposed to be constant, \( F_{0}=-3.5 \times 10^{6} \mathrm{~N} \), but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position \( x \) is given by \( F(x)=\alpha x^{3}+\beta \), where \( \alpha=6.1 \times 10^{-9} \mathrm{~N} / \mathrm{m}^{3} \) and \( \beta=-4.1 \times 10^{6} \mathrm{~N} \). Assume the supply spacecraft had an initial kinetic energy of \( \mathrm{KE}_{1}=2.7 \times 10^{11} \mathrm{~J} \) and that the trador beam force is applied on the spacecraft over a distance of \( 7.5 \times 10^{4} \mathrm{~m} \) away from its beginning position at \( x=0.0 \mathrm{~m} \).

Part D

Part E

Evaluate the final knetic energy of the supply spacecrath for the actual tractor beam force, \( F(x)=\alpha x^{3}+\beta \).
View Available Hint(s)
\[
\begin{array}{l}
\mathrm{KE}_{2}=\text { Value }_{\text {In }}+\mathrm{J}
\end{array}
\]

Submit
Previous Answers
Incorrect; Try Again; 5 attempts remaining
See the hints for tips on how to solve this problem.

$Galactic Aliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spaceicraft, which is being moved in one dimension in the fractor beam of the ship. named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 10^10 J (where 1 J=1 N· m ). GAMMO Nermalloy knows that the change in kinetic energy of an objoct moving in one dimension is equal to the net work performed on if, where net work is the integral of the component of net force in the direction of mobion with respect to the position of the of the object. That is: KE2-KE1=∫x1^x2 F(x) d x The net force exerted by the tractor beam is supposed to be constant, F0=-3.5 × 10^6 N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position x is given by F(x)=α x^3+β, where α=6.1 × 10^-9 N / m^3 and β=-4.1 × 10^6 N. Assume the supply spacecraft had an initial kinetic energy of KE1=2.7 × 10^11 J and that the trador beam force is applied on the spacecraft over a distance of 7.5 × 10^4 m away from its beginning position at x=0.0 m. Part D Part E Evaluate the final knetic energy of the supply spacecrath for the actual tractor beam force, F(x)=α x^3+β. View Available Hint(s) KE2= Value In +J Submit Previous Answers Incorrect; Try Again; 5 attempts remaining See the hints for tips on how to solve this problem.$

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