Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you drop a wrench from 3.50 m above the ground and measure that it hits the ground 0.814 s later. Part A What is the acceleration of gravity near the surface of this planet? Express your answer with the appropriate units. HA Value

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Scenario: Determining Gravity on an Unknown Planet**

Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you conduct an experiment by dropping a wrench from 3.50 meters above the ground. You observe that the wrench hits the ground 0.814 seconds later.

**Part A:**

**Question:** What is the acceleration of gravity near the surface of this planet?

**Instruction:** Express your answer with the appropriate units.

**Input Box:** (Blank for student response)

Explanation: You are tasked with calculating the gravitational acceleration using the formula for free fall: \( s = \frac{1}{2} g t^2 \), where \( s \) is the distance fallen, \( g \) is the acceleration due to gravity, and \( t \) is the time it takes for the object to fall.
Transcribed Image Text:**Scenario: Determining Gravity on an Unknown Planet** Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you conduct an experiment by dropping a wrench from 3.50 meters above the ground. You observe that the wrench hits the ground 0.814 seconds later. **Part A:** **Question:** What is the acceleration of gravity near the surface of this planet? **Instruction:** Express your answer with the appropriate units. **Input Box:** (Blank for student response) Explanation: You are tasked with calculating the gravitational acceleration using the formula for free fall: \( s = \frac{1}{2} g t^2 \), where \( s \) is the distance fallen, \( g \) is the acceleration due to gravity, and \( t \) is the time it takes for the object to fall.
**Part B**

Assuming that the planet has the same density as that of Earth (5500 kg/m³), what is the radius of the planet?

**Express your answer with the appropriate units.**

A box is provided for input with two fields labeled "Value" and "Units" for entering the radius of the planet.

Below the input fields, there is a "Submit" button, a "Request Answer" button, and some formatting and input assistance icons above the input fields.
Transcribed Image Text:**Part B** Assuming that the planet has the same density as that of Earth (5500 kg/m³), what is the radius of the planet? **Express your answer with the appropriate units.** A box is provided for input with two fields labeled "Value" and "Units" for entering the radius of the planet. Below the input fields, there is a "Submit" button, a "Request Answer" button, and some formatting and input assistance icons above the input fields.
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