Wooden cube, density 620kg/m², is 0.08m tall, 0.12m wide, and 0.12m thick. It floats in a liquid with density 900kg/m². A string attached to the bottom of the container prevents the cube from floating up to the surface. Find the tension in the string. [8]
Wooden cube, density 620kg/m², is 0.08m tall, 0.12m wide, and 0.12m thick. It floats in a liquid with density 900kg/m². A string attached to the bottom of the container prevents the cube from floating up to the surface. Find the tension in the string. [8]
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I tried submitting the following problem in parts and received different solutions from each tutor. Could you please help to confirm the solutions? Thank you!
![Wooden cube, density 620kg/m², is 0.08m tall, 0.12m wide, and 0.12m thick. It floats in a liquid with
density 900kg/m?. A string attached to the bottom of the container prevents the cube from floating up
to the surface. Find the tension in the string. [8]
1) Draw a pictorial representation of the problem.
2) Draw a free body diagram of the wooden cube.
3) Choose a coordinate system. What direction will you designate as positive?
4) Write out the Newton's second law (net force) equation for the wooden cube.
5) What variables in the force equation can you fill in from the given information?
6) Substitute the given information into he force equation as appropriate, and solve for the
tension.
7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result
could be easily identified as not believable for this problem?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2721ccf2-fbe1-4868-87fa-588e33d78a8e%2F118ef765-8b1a-4305-b73e-6108f27de477%2F8vkdvqj_processed.png&w=3840&q=75)
Transcribed Image Text:Wooden cube, density 620kg/m², is 0.08m tall, 0.12m wide, and 0.12m thick. It floats in a liquid with
density 900kg/m?. A string attached to the bottom of the container prevents the cube from floating up
to the surface. Find the tension in the string. [8]
1) Draw a pictorial representation of the problem.
2) Draw a free body diagram of the wooden cube.
3) Choose a coordinate system. What direction will you designate as positive?
4) Write out the Newton's second law (net force) equation for the wooden cube.
5) What variables in the force equation can you fill in from the given information?
6) Substitute the given information into he force equation as appropriate, and solve for the
tension.
7) Comment briefly on whether your result is reasonably believable. If it is – what sort of result
could be easily identified as not believable for this problem?
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