"The ship was going at the limit, further acceleration was not provided for by the instructions of the space Fleet. An hour later, the speed increased by a thousand kilometers per second" (Kir Bulychev. Agent KF / / Chemistry and Life. 1984. No. 12, p. 111). Find the acceleration of the ship. How many times does it exceed the acceleration of gravity on Earth?

Solutions of Savchenko Problems in Physics

Aliaksandr Melnichenka
October 2023

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Statement

$1.2.13.$ "The ship was going at the limit, further acceleration was not provided for by the instructions of the space Fleet. An hour later, the speed increased by a thousand kilometers per second" (Kir Bulychev. Agent KF / / Chemistry and Life. 1984. No. 12, p. 111). Find the acceleration of the ship. How many times does it exceed the acceleration of gravity on Earth?

Solution

1. Determine the acceleration of the ship $$a=\frac{\Delta v}{\Delta t}=278 \,\frac{m}{s}$$ 2. Let's relate the acceleration of the spaceplane to the acceleration of free fall on Earth $$\frac{a}{g}=27.8$$

Answer

$28 \text{ times}$