![]() The space shuttle was a complex assemblage of technologies, employing both solid and liquid fuel, and pioneering ceramic tiles as reentry heat shields. Solid fuel boosters on either side were recovered and refueled after each flight, and the entire orbiter returned to Earth for use in subsequent flights. If the burn rate of the fuel is constant, and the velocity at which the exhaust is ejected is also constant, what is the change of velocity of the rocket as a result of burning all of its fuel?įigure 9.32 The space shuttle had a number of reusable parts. (We refer to m as the “instantaneous mass” and v → v → as the “instantaneous velocity.”) The rocket accelerates by burning the fuel it carries and ejecting the burned exhaust gases. At some moment in time, the rocket has a velocity v → v → and mass m this mass is a combination of the mass of the empty rocket and the mass of the remaining unburned fuel it contains. Specifically: A fully fueled rocket ship in deep space has a total mass m 0 m 0 (this mass includes the initial mass of the fuel). We analyze the motion of a rocket, which changes its velocity (and hence its momentum) by ejecting burned fuel gases, thus causing it to accelerate in the opposite direction of the velocity of the ejected fuel (see Figure 9.32). ![]() Now we deal with the case where the mass of an object is changing. Calculate the speed of a rocket in Earth’s gravity field, at some time, given initial conditions.Calculate the speed of a rocket in empty space, at some time, given initial conditions.Describe the application of conservation of momentum when the mass changes with time, as well as the velocity.By the end of this section, you will be able to:
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