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Answer :
Answer:
Explanation:
Mass of satellite
M_s = 361 kg
Distance of satellite from moon
h = 147 km = 147,000m
Radius of the moon is
R_m = 1740 km = 1740,000m
Mass of the moon is
M_m = 7.36 × 10²² kg.
The kinetic energy is equal to the potential energy of the body to the surface of the moon from the conservation of energy.
K.E = P.E = mgh
Gravity on moon is g = 1.62 m/s²
K.E = 361 × 1.62 × 147,000
K.E = 8.597 × 10^7 J.
B. The gravitational potential energy can be calculated using
U = G•M_s × M_m (1/R_s - 1 / R)
R is the total distance from the centre of the moon to the satellite
R = h + R_m = 147 + 1740 = 1887km
R = 1,887,000 m
U = 6.67 × 10^-11 × 361 × 7.36 × 10²² (1/1,740,000 - 1/1,887,000)
U = 6.67 × 10^-11 × 361 × 7.36 × 10²² × 4.48 × 10^-8
U = 7.93 × 10^7 J
Then,
The total energy becomes
E = K.E + U
E= 8.597 × 10^7 + 7.93 × 10^7 J
E = 1.653 × 10^8 J
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