Question

Ion-propulsion rockets have been proposed for use in space. They
employ atomic ionization techniques and nuclear energy sources to
produce extremely high exhaust velocities, perhaps as great as 8.00
✕ 10^{6}m/s. These techniques allows a much more favorable
payload-to-fuel ratio. To illustrate this fact:

(a)

Calculate the increase in velocity in m/s of a 18,000-kg space probe that expels only 40.0-kg of its mass at the given exhaust velocity.

.................................. m/s

(b)

These engines are usually designed to produce a very small
thrust for a very long time—the type of engine that might be useful
on a trip to the outer planets, for example. Calculate the
acceleration in m/s^{2} of such an engine if it expels 4.50
✕ 10^{−6} kg/s at the given velocity, assuming the
acceleration due to gravity is negligible.

..............................................m/s^{2}

Answer #1

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