AP PHYSICS PROBLEM SPRING AND PROJECTILE MOTION

ONE END OF A SPRING IS ATTACHED TO A SOLID WALL WHILE THE OTHER END JUST REACHES TO THE EDGE OF A HORIZONTAL, FRICTIONLESS TABLETOP, WHICH IS A DISTANCE H ABOVE THE FLOOR. A BLOCK OF MASS M IS PLACED AGAINST THE END OF THE SPRING AND PUSHED TOWARD THE WALL UNTIL THE SPRING HAS BEEN COMPRESSED A DISTANCE X, AS SHOWN ABOVE. THE BLOCK IS RELEASED, FOLLOWS THE TRAJECTORY SHOWN, AND STRIKES THE FLOOR A HORIZONTAL DISTANCE D FROM THE EDGE OF THE TABLE. AIR RESISTANCE IS NEGLIGIBLE.

DETERMINE EXPRESSIONS FOR THE FOLLOWING QUANTITIES IN TERMS OF M, X, D, H AND g. NOTES THAT THESES SYMBOLS DO NOT INCLUDE THE SPRIG CONSTANT.

A) THE TIME ELAPSED FROM THE INSTANT THE BLOCK LEAVES THE TABLE TO THE INSTANT IT STRIKES THE FLOOR

B) THE HORIZONTAL COMPONENT OF THE VELOCITY OF THE BLOCK JUST BEFORE IT HITS THE FLOOR.

C) THE WORK DONE ON THE BLOCK BY THE SPRING.

D) THE SPRING CONSTANT