1. A 300 g block is attached to alight horizontal spring. The block is free to s
ID: 1763884 • Letter: 1
Question
1. A 300 g block is attached to alight horizontal spring. The block is free to slide on ahorizontal table. A force of 25 N compresses the spring 20cm.
a. A. What is the springconstant, k?
b. B. How far beyond its equilibrium position will the spring stretchat its first maximum extension if the surface of the table isfrictionless?
c. C. How far beyond itsequilibrium position will the spring stretch at its first maximumextension if the coefficient of kinetic friction of the tablesurface is 0.20?
Please show All work and Formulasused to get the answer thank you!
Explanation / Answer
mass m = 300 g = 0.3 kgforce F = 25 N compression the spring x = 20 cm. = 0.2 m we know F = kx from this spring constant, k = F / x = 25 N / 0.2 m = 125 N / m ( B ) . first maximum extension if the surface of the table isfrictionless = 0.2 m c. (C). coefficient of kinetic frictionof the table surface = 0.20 fritional force f = mg = 0.588 N Net force F ' = 25 N - 0.588 N = 24.412 N net force F ' = kx ' from this x ' = F / k = 0.195296 m = 19.5296 cm
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