# Solve The Gobbling Gorilla Puzzle

• peteb
In summary, a gorilla is trapped in a cage suspended in mid-air with a counterweight on the other end of the rope. The gorilla wants to jump to reach a bunch of bananas attached to the roof of the cage, but is 10cm short. With a frictionless pulley and negligible masses of the pulley and rope, the gorilla needs to jump with enough speed to move away from the cage floor in order to reach the bananas. The calculation for this speed would depend on the laws of physics and the specific measurements of the scenario.
peteb
A puzzle with no tricks or "gotcha"s, just the laws of physics:

A gorilla, of mass 100kg, is imprisoned inside a cage of mass 350kg, which is suspended in mid-air on a long rope thrown over a pulley. At the other end of the rope is a counterweight of mass 450kg, exactly balancing the combined weight of the cage and gorilla.

Attached to the roof of the cage, on the inside, is a delicious bunch of bananas, which the gorilla would love to eat. Unfortunately they're out of his reach, by 10cm. He decides to jump up into the air, just far enough to be able to grab the bananas, then fall back down to the cage floor. Assume that the pulley is frictionless, and that the masses of the pulley and rope are negligible compared to the gorilla and cage.

How fast does he need to jump? Specifically, with what speed does the gorilla need to move away from the cage floor? Show how you calculated your answer.

Have fun----

Pete B

Whose reference frame? Relative to the cage, the gorilla has to be going 1.4 meters per second and pushes off with the same force as if he were on solid ground. The difference between the gorilla's velocity and the cage's velocity has to be 1.4 meters per second (equations for projectile motion). The gorilla's momentum (mv) has to be equal to the cage's momentum, so the gorilla must start out with an upwards velocity of 1.24 meters/sec while the cage has a downward velocity of .155 meters/second, which is close enough for slide rule accuracy.

That was quick!

Pete B

## What is the "Solve The Gobbling Gorilla Puzzle"?

The "Solve The Gobbling Gorilla Puzzle" is a brain teaser puzzle that involves arranging a series of discs on a board in a specific order to feed a hungry gorilla.

## How do you play the "Solve The Gobbling Gorilla Puzzle"?

To play the "Solve The Gobbling Gorilla Puzzle", you must arrange the discs in a specific order on the board so that the gorilla can reach and eat the banana at the end. The discs can only be moved one at a time and cannot be placed on top of a smaller disc.

## Is the "Solve The Gobbling Gorilla Puzzle" suitable for all ages?

Yes, the "Solve The Gobbling Gorilla Puzzle" is suitable for all ages as it does not involve any complex rules and can be played at various difficulty levels.

## Are there any strategies to solve the "Solve The Gobbling Gorilla Puzzle"?

Yes, there are various strategies that can be used to solve the "Solve The Gobbling Gorilla Puzzle" such as starting with the largest disc and working backwards, or working from the outside in. However, the most important strategy is patience and trial and error.

## Is the "Solve The Gobbling Gorilla Puzzle" only available in one size?

No, the "Solve The Gobbling Gorilla Puzzle" is available in various sizes and difficulty levels, making it suitable for all ages and skill levels.