Puzzles with numbers and things

[davis_greatest]

Can I post a question?

ROUND 65

An frustrated snooker player (Statman ) throws away the brown ball after having missed an easy double into the left middle pocket. The throw measures 8.3552056 fathoms. The throw form an angle of 0.733038 radians with the horizontal plane. Assume the ball leaves his hand at 0.010439036 furlongs height.

With what initial velocity did Statman throw the ball?

2 more questions:

1) what do you mean "the throw measures" ... is this the horizontal distance travelled by the ball from Statman's hand until it lands?

2) Do we ignore air resistance? I assume so...

[hegeland]

2 more questions:

1) what do you mean "the throw measures" ... is this the horizontal distance travelled by the ball from Statman's hand until it lands?

2) Do we ignore air resistance? I assume so...

Sorry, I've rewritten it a bit now.

[davis_greatest]

We need an assumption for gravity too, don't we? ... what should we use: 9.81 metres per second squared?

[hegeland]

We need an assumption for gravity too, don't we? ... what should we use: 9.81 metres per second squared?

Sorry again, see question.

[davis_greatest]

Can I post a question?

ROUND 65

An frustrated snooker player (Statman ) throws away the brown ball after having missed an easy double into the left middle pocket. The ball lands between two tables 8.3552056 fathoms further away. The throw form an angle of 0.733038 radians with the horizontal plane. Assume the ball leaves his hand at 0.010439036 furlongs height. Ignore air resistance. Gravity about 9,82 m/s2.

With what initial velocity did Statman throw the ball? (meters/second)

NOTE: ONE GUESS PER PERSON. NO PM's please, my inbox is full.

Sorry - still slighly confused, on the new wording... does it land at table height or does it land at floor height, i.e. 0.010439036 furlongs below Statman's hand?

[hegeland]

Sorry - still slighly confused, on the new wording... does it land at table height or does it land at floor height, i.e. 0.010439036 furlongs below Statman's hand?

See question.

[snookersfun]

now this is a really mad question, if I may say so

and psssst, Hege, you can/should delete from your Inbox (download the good ones for safe-keeping if you have difficulties parting with them

[davis_greatest]

Can I post a question?

ROUND 65

An frustrated snooker player (Statman ) throws away the brown ball after having missed an easy double into the left middle pocket. The ball lands on the floor between two tables 8.3552056 fathoms further away. The throw form an angle of 0.733038 radians with the horizontal plane. Assume the ball leaves his hand at 0.010439036 furlongs height. Ignore air resistance. Gravity about 9,82 m/s2.

With what initial velocity did Statman throw the ball? (meters/second)

NOTE: ONE GUESS PER PERSON. NO PM's please, my inbox is full.

How well did Davis play to beat Doherty 5-1? Unfortunately I missed it, as I was at work and then out this evening playing snooker myself. I am recording the replay tonight though.

Anyway... to answer hegeland's question:
11.441 metres per second, at an angle of 0.733038 radians with the horizontal plane

[hegeland]

Nope, sorry, that's not correct. You'll get a few more chances since no one else have bothered to answer - yet.

[chasmmi]

498.759m/s

[hegeland]

Sorry, 500m/s is not correct. You may now have more than one attempt to answer.

[davis_greatest]

Nope, sorry, that's not correct. You'll get a few more chances since no one else have bothered to answer - yet.

I may have misunderstood the question then... because I was sure my answer was correct when I did it in a couple of different ways last night. I'll wait to see your solution - perhaps you can PM it to me?...

[hegeland]

I may have misunderstood the question then... because I was sure my answer was correct when I did it in a couple of different ways last night. I'll wait to see your solution - perhaps you can PM it to me?...

Sure can. But anyone who wants to take a guess may do so. I'll post the solution on here later too.

[hegeland]

Sorry, my mistake, davis_greatest gets the point!

I had mistyped when converting fathoms into meters.
8.3552056 fathoms = 1528 centrimeters but the answer I was looking for should be 1828 centrimeters. Im sorry!

This is how you solve it anyway; Im sure this is how davis_greatest did it, just using 15.28 m instead of 18.28 m.

You got two equations:

1. 18.28 = V0 * cos (42°) * t
=> V0 = 18.28 / (cos (42°) * t)

2. -2.1 = (V0 * sin (42°) * t) - ((9.82 * t2) / 2)


Put them together and you get:

-2.1 = ((18.28 * sin (42°)) / (V0 * cos (42°))) - ((9.82 * t2) / 2)


After some simplification you get:

-2.1 = 16,46 - (4.91 * t2)

t = 3.780 ^ (1/2) = 1,944 seconds


Then put in your t in equation 1

V0 = 18.28 / (cos (42°) * 1,944) = 12.65 m/s ≈ 12.7 m/s

Sorry, man!

[davis_greatest]

Updated scoreboard - but with rounds 63 and 64 still open!

Here is an update on the scoring.

Round 61 – Triangle Mad…

We had to find the number of triangles in a snooker table where every pocket has been joined by a straight chalk line (picture at the bottom of this message, courtesy of snookersfun). snookersfun and davis_greatest each found 66 triangles, and are awarded a point each for their efforts. (I don't feel too guilty awarding davis_greatest a point here, as he had to search for the triangles in the same way as anyone else )



Round 62 – Last Ball Loser

I had correct answers by Private Message from snookersfun and abextra, and invite them to paste their answers / explanations here. They each score a point for correctly explaining that Gordon will win by the score of 10-8.


Round 63 Bigger Ape Break and Round 64 Smaller Ape Break are still open until the deadlines of 18:00 and 19:00 GMT respectively tomorrow (Sunday 26 November).

So far, I have had submissions to both these rounds from chasmmi and snookersfun, who gradually increased the breaks they offered.

On Bigger Ape Break, snookersfun has found the maximum break possible and therefore has already scored 2 points. Chasmmi has found a good, but smaller break, and is assured of at least 1 point. If anyone else matches snookersfun’s break by the deadline, that person will also score 2 points.

On Smaller Ape Break, snookersfun and chasmmi have both found the maximum break possible and therefore have each already scored 2 points. Again, anyone who matches them can also score 2 points.

For each of these two round, 1 point will be awarded for what I deem to be a "good" break that is not the maximum possible.

Round 65 – hegeland’s "throwing the snooker ball" physics question:

As davis_greatest doesn’t get that many chances to score points, I’ll award him a point here for correctly answering this question.


HERE IS THE SCOREBOARD AFTER ROUND 65, BUT BEFORE THE CONCLUSION OF ROUNDS 63 AND 64 (with snookersfun’s and chasmmi’s points scored so far on these rounds already included)

snookersfun……………………….…..30
Vidas……………………………………….12½
davis_greatest…………………..……12½
abextra……………………………..…...12
robert602…………………………………6
elvaago...............................5
The Statman……………………..……3
chasmmi ………………………………….3
Semih_Sayginer.....................2½

(some rounds may be worth more than one point)
(especially ones won by davis_greatest)


Analysis: davis_greatest appears to have edged half a point above abextra, but if she scores even 1 point by submitting a "good" break on Bigger Ape Break or Smaller Ape Break, she will leap straight into second place! ... Unless Vidas does too This is getting as exciting with the various possibilities as Thursday night's Premier League was (in which Ken Doherty was extremely fortunate to be given a masterclass by Steve Davis totally free of charge )