**Problem Statement:**1) A 65-kg astronaut pushes against the inside back wall of a 2000-kg spaceship and moves towards the front. The push lasts for 0.30 s and changes her speed from 0 to 1.6 m/s. Draw momentum bar charts to represent this process for the systems consisting of (a) only the astronaut, and (b) only the spaceship. Determine the force the astronaut exerts on the spaceship and the velocity of the spaceship after the astronaut is finished pushing it.**Solution Explanation:**- **Momentum Bar Charts:** - **(a) Astronaut's Momentum:** - Initial momentum: 0 (since initial speed is 0). - Final momentum = mass × final speed = 65 kg × 1.6 m/s = 104 kg·m/s. - **(b) Spaceship's Momentum:** - Initially at rest, hence initial momentum is 0. - Final negative momentum equal in magnitude to ensure conservation of momentum: -104 kg·m/s. - **Calculations:** - **Force exerted by the astronaut on the spaceship:** - Change in momentum (astronaut) = 104 kg·m/s in 0.30 s. - Force = Change in momentum / Time = 104 kg·m/s / 0.30 s ≈ 346.67 N. - **Velocity of the spaceship:** - Using conservation of momentum: - Final momentum of spaceship = -104 kg·m/s. - Velocity = Momentum / Mass = -104 kg·m/s / 2000 kg ≈ -0.052 m/s.The negative sign indicates that the spaceship moves in the opposite direction to the astronaut.

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1) A 65-kg astronaut pushes against the inside back wall of a 2000-kg spaceship and moves towards the front. The push lasts for 0.30s and changes her speed from 0 to 1.6 m/s. Draw momentum bar charts to represent this process for the systems consisting of (a) only the astronaut, and (b) only the spaceship. Determine the force the astronaut exerts on the spaceship and the velocity of the spaceship after the astronaut is finished pushing it.

1) A 65-kg astronaut pushes against the inside back wall of a 2000-kg spaceship and moves towards the front. The push lasts for 0.30s and changes her speed from 0 to 1.6 m/s. Draw momentum bar charts to represent this process for the systems consisting of (a) only the astronaut, and (b) only the spaceship. Determine the force the astronaut exerts on the spaceship and the velocity of the spaceship after the astronaut is finished pushing it.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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