Solution Found!
Answer: On a horizontal, frictionless table, an
Chapter 14, Problem 32E(choose chapter or problem)
Problem 32E
On a horizontal, frictionless table, an open-topped 5.20-kg box is attached to an ideal horizontal spring having force constant 375 N/m. Inside the box is a 3.44-kg stone. The system is oscillating with an amplitude of 7.50 cm. When the box has reached its maximum speed, the stone is suddenly plucked vertically out of the box without touching the box. Find (a) the period and (b) the amplitude of the resulting motion of the box. (c) Without doing any calculations, is the new period greater or smaller than the original period? How do you know?
Questions & Answers
QUESTION:
Problem 32E
On a horizontal, frictionless table, an open-topped 5.20-kg box is attached to an ideal horizontal spring having force constant 375 N/m. Inside the box is a 3.44-kg stone. The system is oscillating with an amplitude of 7.50 cm. When the box has reached its maximum speed, the stone is suddenly plucked vertically out of the box without touching the box. Find (a) the period and (b) the amplitude of the resulting motion of the box. (c) Without doing any calculations, is the new period greater or smaller than the original period? How do you know?
ANSWER:
Solution 32E
Introduction
Using the conservation of momentum we can calculate the velocity of the box at that time. Then using the conservation of energy we can calculate the amplitude of the motion.
Step 1
After picking up the stone the time period will be