Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be 1.30x104 kg/m at the center and 2000 kg/m at the surface. Part A What is the acceleration due to gravity at the surface of this planet? Express your answer in meters per second squared. ? m/s² Submit Request Answer

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**Item 11**

Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be \( 1.30 \times 10^4 \, \text{kg/m}^3 \) at the center and \( 2000 \, \text{kg/m}^3 \) at the surface.

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**Part A**

**Question:**  
What is the acceleration due to gravity at the surface of this planet?  
**Instruction:**  
Express your answer in meters per second squared.

**Answer Submission Box:**  
\[ g = \, \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \]  
**Submit Button:**  
[Submit]

**Request Answer Link:**  
[Request Answer]

**Provide Feedback Link:**  
[Provide Feedback]

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Please note that a detailed explanation of the density model, calculations, and the formula for gravitational acceleration as a function of variable density might be included on the educational website to aid in solving the problem.
Transcribed Image Text:**Item 11** Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be \( 1.30 \times 10^4 \, \text{kg/m}^3 \) at the center and \( 2000 \, \text{kg/m}^3 \) at the surface. --- **Part A** **Question:** What is the acceleration due to gravity at the surface of this planet? **Instruction:** Express your answer in meters per second squared. **Answer Submission Box:** \[ g = \, \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \] **Submit Button:** [Submit] **Request Answer Link:** [Request Answer] **Provide Feedback Link:** [Provide Feedback] --- Please note that a detailed explanation of the density model, calculations, and the formula for gravitational acceleration as a function of variable density might be included on the educational website to aid in solving the problem.
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