**Jet Plane Landing on Aircraft Carrier: Physics Problem**A jet plane with a mass of \(1.6 \times 10^4 \, \text{kg}\) lands on an aircraft carrier. Its tail hook catches a cable which is connected to a spring to decelerate the plane. The spring has a spring constant of \(5.7 \times 10^4 \, \text{N/m} \).**Problem:***Part A*When the spring stretches \(31 \, \text{m}\) to stop the plane, determine the plane’s landing speed.*Instructions:*- Provide your answer using two significant figures.- Include the appropriate units.*Answer Format:*\( v = \) [Value] [Units]

To solve the given problem, we will use the conservation of energy.Suppose, the plane lands with a velocity 'v'. Therefore the kinetic energy of the plane, K=12mv2. When the plane comes to stop, all of its kinetic energy is stored in that spring as potential energy, P=12kx2 Using conservation of energy we get: 12kx2=12mv2v2=kx2mv=xkm From the question we have, x=31 m, k=5.7 x 104 N/m, and m=1.6 x 104 kg. This gives us: v=xkmv=31×5.7×1041.6×104v=58.51 m/s Hence, the plane's landing speed was 58.51 m/s.

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As a 1.6x104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 5.7x10ª N/m Part A If the spring stretches 31 m to stop the plane, what was the plane's landing speed? Express your answer to two significant figures and include the appropriate units. HÀ ? Value Units

As a 1.6x104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 5.7x10ª N/m Part A If the spring stretches 31 m to stop the plane, what was the plane's landing speed? Express your answer to two significant figures and include the appropriate units. HÀ ? Value Units

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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