Finding the Acceleration

Finding the Acceleration

Assume that we are at rest relative to an inertial reference frame. watching a rocket accelerate through deep space with no gravitational or atmospheric drag forces acting

(a) An accelerating rocket of mass M at time r, as seen from an inertial reference frame. (h) The same but at lime r + dt, The exhaust products released during interval dr are shown.
(a) An accelerating rocket of
mass M at time r, as seen from an inertial
reference frame. (h) The same but
at lime r + dt, The exhaust products
released during interval  are shown.

on it. For this one-dimensional motion, let M be the mass of the rocket and v its velocity at an arbitrary time.depends only on design characteristics of the rocket engine, namely. the rate R at which it consumes fuel mass and the speed  with which that mass is ejected relative to the rocket. We can this term  the thrust of the rocket engine and . represent it with T. Newton’s second law emerges clearly if we write  as T = Ma, in which a is the acceleration of the rocket at the time that its mass is M.

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