ANALYSIS IIData Set 2. Imagine the followingexperiment: A cart is initially at rest.A force pulls the cart through a given distance and gives it anamount of kinetic energy K. At the end of this distance, theforce goes to zero and the cart travels with a constant speed.The resulting speed is measured. The data table on the nextpage shows the measured kinetic energies and the measuredspeeds.K, Jv, m/s0.50 0.481.50 0.763.00 1.104.50 1.306.00 1.557.50 1.70 Consulting a physics text, you find the following formulafor kinetic energy, K = ½ mv² where K is kinetic energy andv is the speed of mass m. Thus, kinetic energy is a quadraticfunction of the speed. The data transformation z = v gives theformula K = ½ m z which is a linear equation between K and zwith slope = ½ m and y-intercept equal to zero. Thus, theorypredicts a linear relationship between K and speed squared.a)Enter speed squared into your calculator or computer,plot the new data and examine the resulting graph.

The graph between K and v2 should be linear so we will verify it by creating the graph.

ANALYSIS II Data Set 2. Imagine the following experiment: A cart is initially at rest. A force pulls the cart through a given distance and gives it an amount of kinetic energy K. At the end of this distance, the force goes to zero and the cart travels with a constant speed. The resulting speed is measured. The data table on the next page shows the measured kinetic energies and the measured speeds. d K, Jv, m/s 0.50 0.48 1.50 0.76 3.00 1.10 4.50 1.30 6.00 1.55 7.50 1.70

ANALYSIS II Data Set 2. Imagine the following experiment: A cart is initially at rest. A force pulls the cart through a given distance and gives it an amount of kinetic energy K. At the end of this distance, the force goes to zero and the cart travels with a constant speed. The resulting speed is measured. The data table on the next page shows the measured kinetic energies and the measured speeds. d K, Jv, m/s 0.50 0.48 1.50 0.76 3.00 1.10 4.50 1.30 6.00 1.55 7.50 1.70

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum And Collisions

Section: Chapter Questions

Problem 7WUE

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