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A particle is fired vertically upward with a speed of 15km/s. With what speed will it in interstellar space. Assume only earth's gravitational field.
hi,
to be free from earth,s field & enter in interstellar space one must have a minimum energy corresponding to the escape velocity.
escape velocity of earth = 11.2 km/s = 11.2 X 103 m / s
corresponding K.E. = 1/2 m (11.2 X 103)^2
let the remaining speed in interstellar space is v km/sec
remaining K.E.
1/2 m (vx 103)^2 = 1/2 m ( 15 X 103 ) ^2 - 1/2 m ( 11.2 x 103 ) ^2
v^2 = 15 ^2 - 11.2 ^2
= 99.56
v = √99.56 km/ sec
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