Solution Found!
Answer: A basket of negligible weight hangs from a
Chapter 7, Problem 74P(choose chapter or problem)
Problem 74P
A basket of negligible weight hangs from a vertical spring scale of force constant 1500 N/m. (a) If you suddenly put a 3.0-kg adobe brick in the basket, find the maximum distance that the spring will stretch. (b) If, instead, you release the brick from 1.0 m above the basket, by how much will the spring stretch at its maximum elongation?
Questions & Answers
QUESTION:
Problem 74P
A basket of negligible weight hangs from a vertical spring scale of force constant 1500 N/m. (a) If you suddenly put a 3.0-kg adobe brick in the basket, find the maximum distance that the spring will stretch. (b) If, instead, you release the brick from 1.0 m above the basket, by how much will the spring stretch at its maximum elongation?
ANSWER:
Solution 74P
Step 1:
a) The force due to gravitational force on the basket will be, F = mg
Where, m - mass of the brick
g - acceleration due to gravity
Provided, m = 3.0 kg and take g = 9.8 m/s2
F = 3.0 kg × 9.8 m/s2 = 29.4 N
Then, we can write, Fspring = 29.4 N (The force is due to the gravitational field)
But we know that, F = kx
x = F/ k
Where, k - force constant of the spring and x - elongation of the spring.
Provided, k = 1500 N/m
x = 29.4 N/ 1500 N/ m = 0.0196 m = 1.96 cm
Elongation of the spring, x = 1.96 cm