Solution Found!
A wooden block with a density of 710 kg/m3 and a volume of
Chapter 15, Problem 89GP(choose chapter or problem)
Problem 89GP
A wooden block with a density of 710 kg/m3 and a volume of 0.012 m3 is attached to the top of a vertical spring whose force constant is k = 540 N/m. Find the amount by which the spring is stretched or compressed if it and the wooden block are (a) in air or (b) completely immersed in water. [The density of air may be neglected in part (a).]
Questions & Answers
QUESTION:
Problem 89GP
A wooden block with a density of 710 kg/m3 and a volume of 0.012 m3 is attached to the top of a vertical spring whose force constant is k = 540 N/m. Find the amount by which the spring is stretched or compressed if it and the wooden block are (a) in air or (b) completely immersed in water. [The density of air may be neglected in part (a).]
ANSWER:
Step 1 of 4
A block resting on a vertical spring. When the spring is in air, the spring force is equal to the weight of the block. The given figure also shows the block and spring submerged in water, which introduces a buoyant force on the block.
Density of the wooden block
volume of the wooden block
Spring’s force constant
We wish to calculate the amount that the spring is compressed or stretched when in air and when in water. Hence we have to solve Newton's Second Law for the spring force in each case.