FORUM FUN FEATURE!! Tough Test 6

[Bumper]

Tough Test 6

1. A weightless and perfectly flexible rope is hung over a weightless, frictionless pulley attached to the roof of a building. At one end is a weight which precisely counterbalances a monkey at the other end. If the monkey begins to climb, what will happen to the weight - will it remain stationary, will it rise or will it fall?

2. How many Canadian provinces border the US?

3. A bottle costs $1 more than a cork. Together, they cost $1.10. How much does the bottle cost and how much does the cork cost?

4. Of the three words orange, octopus, and oil, which word doesn’t belong?

5. A baseball tournament is to be organized in a “round robin” fashion, i.e., every team plays a game against every other team once and only once. If a total of 28 games are played, how many teams participated?

6. What country’s capital is Addis Ababa?

7. Tom is 40, Jerry is 13. How many years ago was Tom four times as old as Jerry?

8. What does Dorothy have to steal from the Wicked Witch of the West?

9. Last weekend, I drove my new bicycle to the park. On reaching the park, I saw that there was a total of 13 bicycles and tricycles there. The total number of wheels on all the cycles was 35. How many tricycles were there in the park?

10. What gets wet when drying?

[mckinzie]

I dunno about this one Bump.
To much thinking

[Bumper]

Originally Posted by mckinzie

I dunno about this one Bump.
To much thinking

It is pretty late, pal. Go to bed and get an early start in the morning...after church, of course. Er, no...tomorrow is just Saturday, isn't it? This being semi-retired really screws up the concept of weekends.

[Jesus]

1- weight rises the same amounth the monkey does.
2- canadian provinces bordering the US: BC, Alberta, Saskatchewan, Toronto, Quebec, Nova Scottia, New Brunswick: seven.
3- bottle $1.05, cork $0.05
4- orange, octopus are living things, but oil is old story.
5- ??
6- Ethiopia
7- 4 years ago, when Tom was 36 and Jerry 9
8- ?
9- 4 bikes and 9 trycicles
10- the atmosphere

[denisea]

1. The weight will rise.
2. 7 Canandian provinces border the US.
3. The bottle costs $1.05 and the cork costs 5¢.
4. Oil doesn't belong.
5. 8 teams participated.
6. Ethiopia.
7. 4 years ago.
8. Her magic ruby slippers.
9. 9 Tricycles were in the park.
10. A towel.

[Bumper]

Originally Posted by denisea

1. The weight will rise.
2. 7 Canandian provinces border the US.
3. The bottle costs $1.05 and the cork costs 5¢.
4. Oil doesn't belong.
5. 8 teams participated.
6. Ethiopia.
7. 4 years ago.
8. Her magic ruby slippers.
9. 9 Tricycles were in the park.
10. A towel.

]
O-o-o-o-! Close, D. 9 out of 10.

[Bumper]

Originally Posted by Jesus

1- weight rises the same amounth the monkey does.
2- canadian provinces bordering the US: BC, Alberta, Saskatchewan, Toronto, Quebec, Nova Scottia, New Brunswick: seven.
3- bottle $1.05, cork $0.05
4- orange, octopus are living things, but oil is old story.
5- ??
6- Ethiopia
7- 4 years ago, when Tom was 36 and Jerry 9
8- ?
9- 4 bikes and 9 trycicles
10- the atmosphere

Good shot, Jesus. 7 of 10.

[Nerak936]

8. The witch's broom.

[cuffedlinks]

exactly Karen...

That was the 1 Denise missed....

[Nerak936]

Originally Posted by cuffedlinks

exactly Karen...

That was the 1 Denise missed....

It was the only one I could confidently answer without my brain going into tilt mode.

<img src='http://smileys.smileycentral.com/cat/23/23_4_121.gif' alt='Duh' border=0></a>

[SunKneeMarie]

Originally Posted by Bumper

Tough Test 6

1. It will remain stationary until the monkey reaches the top, then it will fall since there is no weight to counteract it...

2. 3

3. bottle = $1.05 and cork = 5 cents

4. Hmmmmm.... ??

5. 8 teams

6. Ethiopia

7. 4 years ago

8. Her Broom

9. 9 Tricycles and 4 Bicycles

10. a sponge

[SunKneeMarie]

Okay, I just read everyone's answers after I posted mine... so someone please explain the answer to question #1 to me... I missed #2... why oil for #4?... and I'm giving myself credit for #10--sponge/towel, same principle...

[denisea]

Originally Posted by cuffedlinks

exactly Karen...

That was the 1 Denise missed....

Ya know as usual I should have gone with my first instinct.... but noooooo.... I questioned myself and changed my answer. I hate when I do that!

[Jesus]

Originally Posted by SunKneeMarie

Okay, I just read everyone's answers after I posted mine... so someone please explain the answer to question #1 to me...

If you have the ideal rope and pulley, it will get to equilibrium all the time.
If you hang a weight in one end, and another of the same weight in the second, you have equilibrium, and both segments of the rope will have the same lenght.
If the monkey climbs it will modify the ideal setup, so in order to regain equilibrium both segments of rope will be the same lenght, thus the weight will rise the same amount as the monkey climbs.

pulley pulley
| | | |
| | | |
| | w m
w m

[SunKneeMarie]

What I'm visualizing is a rope hanging over a pulley, with a weight at the end of the rope on one side, and a monkey hanging on the end of the rope on the other side. If the monkey climbs the rope, but leaves the rope hanging below him as he climbs, then the weight of the monkey and the rope would still be the same on that side, so the weight and rope on the other side would not need to adjust. Once the monkey reaches the top, there would only be the weight of the rope left on that side, so the weight on the non-monkey side would then fall, or rather, pull the rope down over to its side.

So what's the component I'm missing to get the weight to rise?