Question

In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220 metre long cannon with a final velocity of 10.97 km/s.
What would be the initial velocity of the capsule, vi in metres per second?

Answer 1

Answer on Question #69584 -Physics / Other

In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a $S = 220$ meter long cannon with a final velocity of $v_{f} = 10.97 \mathrm{~km/s}$.

What would be the initial velocity of the capsule, vi in meters per second?

Solution:

The distance

$$S = \frac {v _ {f} ^ {2} - v _ {i} ^ {2}}{2 a} = \frac {v _ {f} ^ {2} - v _ {i} ^ {2}}{2 (- g)}$$

Thus

$$v _ {i} = \sqrt {v _ {f} ^ {2} + 2 g S} = \sqrt {1 0 9 7 0 ^ {2} + 2 \times 9 . 8 + 2 2 0} = 1 0 9 7 0. 1 9 \frac {\mathrm {m}}{\mathrm {s}}$$

Answer: $v_{i} = 10970.19 \frac{\mathrm{m}}{\mathrm{s}}$.

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