As a 500-kg Moon lander is descending toward the surface, its thruster fires, exerting an upward force on the lander. At a height of 50 m, the lander's velocity is 6.1 m/s downward. At a height of 5 m, its velocity is 0.5 m/s downward. The Moon's gravitational field strength near its surface is 1.6 N/kg. Assume the mass and thrust of the lander remain nearly constant during the process. Part 1 What is the magnitude of the average net force on the lander during the process that ends at 5 m above the surface? Fnet.y i

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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### Educational Content: Analyzing Forces on a Moon Lander

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**Scenario Overview:**

A 500-kg Moon lander is descending toward the lunar surface. To control its descent, the lander's thruster activates, providing an upward force. At a height of 50 meters, the lander's velocity is initially 6.1 m/s in a downward direction. By the time it reaches a height of 5 meters, its velocity reduces to 0.5 m/s downward. Near the Moon's surface, the gravitational field strength is 1.6 N/kg. For the purpose of this calculation, it is assumed that the lander's mass and thrust remain constant during this process.

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**Problem Statement:**

**Part 1**

Calculate the magnitude of the average net force exerted on the lander throughout the descent from 50 meters to 5 meters above the Moon's surface.

\[ F_{\text{net,y}} = \, \]

(An input box is provided for students to fill in with the calculated net force in Newtons.)

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This exercise requires application of kinematic equations and understanding of gravitational and thrust forces acting on the Moon lander during its controlled descent. Students should consider the change in velocity and gravitational influence to determine the average net force.
Transcribed Image Text:### Educational Content: Analyzing Forces on a Moon Lander --- **Scenario Overview:** A 500-kg Moon lander is descending toward the lunar surface. To control its descent, the lander's thruster activates, providing an upward force. At a height of 50 meters, the lander's velocity is initially 6.1 m/s in a downward direction. By the time it reaches a height of 5 meters, its velocity reduces to 0.5 m/s downward. Near the Moon's surface, the gravitational field strength is 1.6 N/kg. For the purpose of this calculation, it is assumed that the lander's mass and thrust remain constant during this process. --- **Problem Statement:** **Part 1** Calculate the magnitude of the average net force exerted on the lander throughout the descent from 50 meters to 5 meters above the Moon's surface. \[ F_{\text{net,y}} = \, \] (An input box is provided for students to fill in with the calculated net force in Newtons.) --- This exercise requires application of kinematic equations and understanding of gravitational and thrust forces acting on the Moon lander during its controlled descent. Students should consider the change in velocity and gravitational influence to determine the average net force.
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