01. A rocket starts to move up and the speed increases continuously. The acceleration is said to be positive. Justify.
Answers
Answer:Now we deal with the case where the mass of an object is changing. 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)). Specifically: A fully fueled rocket ship in deep space has a total mass
(this mass includes the initial mass of the fuel). At some moment in time, the rocket has a velocity
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. (We refer to m as the “instantaneous mass” and
as the “instantaneous velocity.”) The rocket accelerates by burning the fuel it carries and ejecting the burned exhaust gases. 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?
Explanation:
The entire phenomena is due to the mass.
- This vehicle's mass is essential since lower speeds up and additional performs extended gravitational force acting on it.
- A positive acceleration indicates that velocity increases over time. Because of the lower mass, the rocket accelerates more quickly.
- As the propellant responds and its combustion items are released from the rocket, its mass declines.
- To safeguard astronauts from the rising velocity, thrust on launchers holding them is carefully lowered all through release.
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