36. A spring of negligible mass has force constant k=1 6 0 0N / m. (a) How far must the spring b

Name: 36. A spring of negligible mass has force constant k=1 6 0 0N / m. (a) How far must the spring be compressed for 3 . 2 0 J of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1. 20-kg book onto it from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed.
Uploaded: 2019-06-08T06:47:24-08:00
Duration: 9 min 58 s
Channel: Abhishek Jana
Description: 36. A spring of negligible mass has force constant k=1 6 0 0N / m. (a) How far must the spring be compressed for 3 . 2 0 J of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1. 20-kg book onto it from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed.

(a) The potential energy stored in a spring is given by the formula ( U = frac{1}{2}kx^2 ), w

Question

36. A spring of negligible mass has force constant \( \boldsymbol{k}=\mathbf{1 6 0 0} \mathrm{N} / \mathrm{m} \). (a) How far must the spring be compressed for \( \mathbf{3 . 2 0} \) \( J \) of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1. \( 20-\mathrm{kg} \) book onto it from a height of 0.80 \( \mathrm{m} \) above the top of the spring. Find the maximum distance the spring will be compressed.

          36. A spring of negligible mass has force constant \( \boldsymbol{k}=\mathbf{1 6 0 0} \mathrm{N} / \mathrm{m} \). (a) How far must the spring be compressed for \( \mathbf{3 . 2 0} \) \( J \) of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1. \( 20-\mathrm{kg} \) book onto it from a height of 0.80 \( \mathrm{m} \) above the top of the spring. Find the maximum distance the spring will be compressed.

36. A spring of negligible mass has force constant k=1 6 0 0N / m. (a) How far must the spring be compressed for 3 . 2 0 J of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1. 20-kg book onto it from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed.

Added by Tracy A.

College Physics

Hugh D. Young 9th Edition

Chapter 7

Instant Answer

Solved by Expert Abhishek Jana

06/08/2019

Step 1

We can rearrange this formula to solve for \( x \): \[ x = \sqrt{\frac{2U}{k}} \] Substituting the given values: \[ x = \sqrt{\frac{2(3.20 \, \text{J})}{1600 \, \text{N/m}}} = 0.04 \, \text{m} \] So the spring must be compressed 0.04 m (or 4 cm) for 3.20 J of Show more…

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