A 1000 kg spacecraft is approaching Jupiter (which is at the origin). The position of the spacecraft is given by the vector RSC = (0.0,-2.533) x 106km. The velocity is given by VSC= (+6.00, +8.00) km/sec. The mass of Jupiter, (MJ=318 MEarth) and MEarth = 5.97 x 1024 kg.A) What is the potential and kinetic energy of the spacecraft (write each to 3 sig figs.) What is the total energy of the spacecraft? Call the total energy Ei.B) Can it escape Jupiter? Justify your answer.C) What is the angular momentum of the spacecraft around Jupiter? Call this Li.

Name: A 1000 kg spacecraft is approaching Jupiter (which is at the origin).
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Description: A 1000 kg spacecraft is approaching Jupiter (which is at the origin). The position of the spacecraft is given by the vector RSC = (0.0,-2.533) x 106km. The velocity is given by VSC= (+6.00, +8.00) km/sec. The mass of Jupiter, (MJ=318 MEarth) and MEar

Given data: Mass of spacecraft, m=1000 kg Position, RSC=0.0,-2.533×106km Velocity,…

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A 1000 kg spacecraft is approaching Jupiter (which is at the origin). The position of the spacecraft is given by the vector R_SC = (0.0,-2.533) x 10⁶km. The velocity is given by V_SC= (+6.00, +8.00) km/sec. The mass of Jupiter, (M_J=318 M_Earth) and M_Earth = 5.97 x 10²⁴ kg.

A) What is the potential and kinetic energy of the spacecraft (write each to 3 sig figs.) What is the total energy of the spacecraft? Call the total energy E_i.

B) Can it escape Jupiter? Justify your answer.

C) What is the angular momentum of the spacecraft around Jupiter? Call this L_i.

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