A 2.11 kg cart moving along a horizontal track in the positive x direction has a changing force exerted on it. The force exerted on the cart is plotted in the graph shown. In the plot, Fmax has a value of 5.95 Newtons. Note that the friction between the cart and track is negligible.a.-Calculate the work done on the cart when it has reached a displacement of 21.3 cm along the track. b.- If the cart starts from rest, calculate how fast the cart is going when it has reached a displacement of 21.3 cm along the track. The image displays a force-displacement graph. The x-axis represents the displacement (\( \Delta x \)) in centimeters, ranging from 0 to 40 cm. The y-axis represents the force in Newtons, ranging from \(-F_{\text{max}}\) to \(F_{\text{max}}\).The graph features a triangular shape composed of two linear segments:1. The force increases linearly from the origin (0,0) to a peak at (10 cm, \(F_{\text{max}}\)).2. The force decreases linearly back to zero at (40 cm, 0).This graph might represent scenarios such as a force applied to compress or stretch a spring, where the force first increases to a maximum value and then decreases to zero.

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Answered: 2.11 kg cart moving along a horizontal…

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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A 2.11 kg cart moving along a horizontal track in the positive x direction has a changing force exerted on it. The force exerted on the cart is plotted in the graph shown. In the plot, F_max has a value of 5.95 Newtons. Note that the friction between the cart and track is negligible.

a.-Calculate the work done on the cart when it has reached a displacement of 21.3 cm along the track.

b.- If the cart starts from rest, calculate how fast the cart is going when it has reached a displacement of 21.3 cm along the track.

The image displays a force-displacement graph. The x-axis represents the displacement (\( \Delta x \)) in centimeters, ranging from 0 to 40 cm. The y-axis represents the force in Newtons, ranging from \(-F_{\text{max}}\) to \(F_{\text{max}}\).

The graph features a triangular shape composed of two linear segments:

1. The force increases linearly from the origin (0,0) to a peak at (10 cm, \(F_{\text{max}}\)).
2. The force decreases linearly back to zero at (40 cm, 0).

This graph might represent scenarios such as a force applied to compress or stretch a spring, where the force first increases to a maximum value and then decreases to zero.

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