Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
In order better to map the surface features of the Moon, a 361 kgimaging satellite is put into circular orbit around the Moon at an altitude of 125 km. Calculate the satellite's kinetic energy, gravitational potential energy, and total orbital energy. The radius and mass of the Moon are 1740 km1and 7.36×10^22 kg.

In order better to map the surface features of the Moon, a 361 kgimaging satellite is put into circular orbit around the Moon at an altitude of 125 km. Calculate the satellite's kinetic energy, gravitational potential energy, and total orbital energy. The radius and mass of the Moon are 1740 km1and 7.36×10^22 kg.

icon
Related questions
Question

In order better to map the surface features of the Moon, a 361 kgimaging satellite is put into circular orbit around the Moon at an altitude of 125 km. Calculate the satellite's kinetic energy, gravitational potential energy, and total orbital energy. The radius and mass of the Moon are 1740 km1and 7.36×10^22 kg.

Expert Solution
Step 1

Given

Mass (m)             = 361 kg

Radius (R)           = 1740 km

Moon mass (M)  = 7.36×1022 kg

Distance (d)        = 125 km

Step 2

(a)

K.E  = 12m V02 ⇒12m GMR+dSubstitue the value of  361 kg for m, 6.67×10-11 for G, 7.36×1022 for M,1740×103  for R  and  125×103  for d.         =12×361×6.67×10-11 ×7.36×10221740×103+125×103K.E =4.75×108 J

 

(b)

Gravitational potential energy U =-GMmR+d                                                           =-6.67×10-11×7.36×1022×3611740+125×103Gravitational potential energy (U)=-9.5×108 J

 

 

steps

Step by step

Solved in 3 steps

Blurred answer