find the kinetic energy potential energy Total energy Binding Energy of artificial satelite orbiting at a height 3600 km above the surface of earth.
Answers
Answer:
Calculate the kinetic energy, potential energy, total energy and binding energy of an artificial satellite of mass 2000 kg orbiting at a height of 3600 km above the surface of the Earth. Given: G=6.67x10" Nm /kg R = 6400 km M=6x1024 kg [Ans: KE = 40.09 10%. PE = -80.09 10°J TE = 40.09 *10'), BE = 40.09 10°J]
Explanation:
Given:- G = 6.67 x 10-11 Nm²/kg2
R = 6400 km
M = 6 x 1024 kg
Given:- m = 2000 kg, h = 3600 km =
3.6 × 106 m,
G = 6.67 x 10-11 Nm²/kg²
R = 6400 km M = 6 x 1024 kg
To find :
i) Kinetic energy (K.E.)
ii) Potential Energy (P.E.)
From formula (ii),
P.E. = -2 x 40.02 × 10⁹ X
= -80.04 × 10⁹ J
iii) Total Energy (T.E.)
iv) Binding Energy (B.E.)
Formulae: i.
K.E. = GMm 2(R+h)
ii. P.E. == GMm (R+h) = -2(K.E.)
T.E.K.E. + P.E. iv. B.E. = -T.E.
Calculation: From formula (i),
6.67 x 10 x6x10²4 × 2 × 10³ 2x [(6.4×10)+(3.6x10*)] K.E. =
6.67×6×10¹6
10
= 40.02 × 10² J