ELFT HÍRADÓ

[Banyasz Istvan <banyasz.istvan AT wigner.hu>]

Dear Colleagues,

Thank you for all the comments on this problem.

It turned out that a unique solution to the problem could be found only 
with additional assumptions.

I am herewith sending you a modified version.

Dr. István Bányász


Department of Materials Science by Nuclear Methods
Wigner Research Centre for Physics of the H.A.S.

Phone: +3613922222 Exts 1506 and 1732
Cellular: +36308847750

Skype name:

luzdivino

Mailing address:
Budapest
P.O.B. 49
H-1525 Hungary

Mailing packets to:

Dr. István Bányász
Wigner Research Centre for Physics
Konkoly-Thege út 29-33
Budapest
H-1121
Hungary

---------- Forwarded message ----------
Date: Sun, 30 Jun 2024 21:36:38 +0200 (CEST)
From: Banyasz Istvan <banyasz.istvan AT wigner.hu>
To: fizinfo <fizinfo AT lists.kfki.hu>
Subject: Kinematic problem to be solved

Dear Colleagues,

Here is a simple problem to be
solved:

Solve the following problem:
The Task Force of the British
Royal Navy was cruising home to
Singapore on the South China
Sea after having not been able
to impede the invasion of
Malaysia by the Imperial
Japanese Army and Navy on 10
December 1941. Submarine I-58
of the Imperial Japanese Navy
spotted the convoy at 03:40.
She was at a distance of 10 km
from the Repulse battleship at
that moment. After having
received permission to engage,
submarine I-58 surfaced and
prepared for battle.

The submarine manoeuvred so that speed and direction of both ships were 
the same, while separation of the ships as well as that of their 
trajectories remained 10 km.

Speed of both vessels was 40 km/h. The submarine I-58 fired no fewer than 
5 Type 95 torpedoes at the battleship. At what angle did the torpedoes 
have to be fired in relation to the submarine's direction of travel in 
order to hit the battleship, if the speed of the torpedos was 70 km/h? 
(Suppose that Repulse did not make evasive maneuvers in the meantime.) 
Ignore drag and and possible sea currents.

(The Repulse and the battleship
Prince of Wales were sunk by
Japanese bombers and torpedo
bombers in the subsequent sea
battle.)


István


Dr. István Bányász


Department of Materials Science
by Nuclear Methods
Wigner Research Centre for
Physics of the H.A.S.

Phone: +3613922222 Exts 1506
and 1732
Cellular: +36308847750

Skype name:

luzdivino

Mailing address:
Budapest
P.O.B. 49
H-1525 Hungary

Mailing packets to:

Dr. István Bányász
Wigner Research Centre for
Physics
Konkoly-Thege út 29-33
Budapest
H-1121
Hungary