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Grade: 6
A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy. Of the object is
(a) ½ mV2
(b) mV2
(c) 3/2 mV2
(d) 2mV2
5 years ago

Answers : (2)

Deepak Patra
askIITians Faculty
471 Points

(b) V is the orbital velocity. If VC is the escape velocity then Ve = v2 V . The kinetic energy at the time of ejection

KE = ½ m V2e = ½ m (v2V)2 = mV2
5 years ago
Chitrangda dutta
28 Points
We know that initial potential energy = - 2 Kinetic energy.
U = 2. \frac{1}{2}(2m) v^{^{2}} = 2 mv^{^{2}}.
For escape velocity, U (initial) + K (total) = 0
So, K total = 2 m v ^ 2
10 months ago
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