THE STORY:
After several attempts to build a rocket to launch yourselves into space, you finally succeed in creating the prototype that will carry you to space. You decide to stop by the Moon first, and really check for yourself if the Great Wall of China is visible. You quickly pack your space knick-knacks and hurriedly launch yourselves. Shortly thereafter you land on the Moon and start unpacking yourselves. It is then you suddenly realize you forgot to bring along your Moon Rover. You then decide to build a Pogo Stick to help move around and start searching the internet (via some Intergalactic Network) for a design.
To construct the Pogo Stick you yank out the spring under your seat in the spaceship. In order to determine the spring constant of this spring, you perform an experiment with different weights on the seat. You find that the seat moves 0.0001 inch for every 10 pounds you add to it. The spring is made of special ultra-lite alloy and is of negligible mass. Using other 'reusable' parts of the spaceship you construct the Pogo Stick. These parts are made of Titanium and you roughly calculate that the volume of the metal used is 1 cubic feet.
THE PROBLEM:
You decide to test the Pogo Stick. You climb on it and start moving vertically up and down. The maximum compression of the Pogo stick is 10 inches. If your mass (along with the space suit) is 300 lbs what is the maximum height above ground you can travel? Calculate what would have been the maximum height if it were Earth (this is what you are thinking when jumping up and down on the Moon, hoping you can cash in on your new invention once you return to Earth).
Any help is really appreciated!
After several attempts to build a rocket to launch yourselves into space, you finally succeed in creating the prototype that will carry you to space. You decide to stop by the Moon first, and really check for yourself if the Great Wall of China is visible. You quickly pack your space knick-knacks and hurriedly launch yourselves. Shortly thereafter you land on the Moon and start unpacking yourselves. It is then you suddenly realize you forgot to bring along your Moon Rover. You then decide to build a Pogo Stick to help move around and start searching the internet (via some Intergalactic Network) for a design.
To construct the Pogo Stick you yank out the spring under your seat in the spaceship. In order to determine the spring constant of this spring, you perform an experiment with different weights on the seat. You find that the seat moves 0.0001 inch for every 10 pounds you add to it. The spring is made of special ultra-lite alloy and is of negligible mass. Using other 'reusable' parts of the spaceship you construct the Pogo Stick. These parts are made of Titanium and you roughly calculate that the volume of the metal used is 1 cubic feet.
THE PROBLEM:
You decide to test the Pogo Stick. You climb on it and start moving vertically up and down. The maximum compression of the Pogo stick is 10 inches. If your mass (along with the space suit) is 300 lbs what is the maximum height above ground you can travel? Calculate what would have been the maximum height if it were Earth (this is what you are thinking when jumping up and down on the Moon, hoping you can cash in on your new invention once you return to Earth).
Any help is really appreciated!