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3Objectives•To determine the relationship between kinetic,potential, and total mechanical energy for a cart on an incline.•Todetermine the work done by friction on a sliding cart.•To show thatenergy is not conserved when a non-conservative force, likefriction, is acting.Procedure: Energy of a cart without friction Inthis experiment, we will assume that friction is negligible, andthat there are no non-conservative forces at work.The motion of acart rolling down an incline will be examined using real-timevelocity and position values from a motion sensor. Examining theposition and velocity of the cart as it rolls down the track allowsus to also determine the energy of the cart. In this experiment youwill examine the transition between gravitation potential energyand kinetic energy as the cart rolls down an incline.1.Figure 1 wasset up in real time, where the ramp was inclined at an angle of8.5°, and the mass of the cart is 0.250 kg. A Motion Detector wasattached to the upper end of the track.As the cart slides down thetrack, the motion detector is pre-programmed to measure thedistance (position) of the cart from the bottom of the ramp –see(d)infigure 1.2.Gravitational potential energy depends on position,and kinetic energy depends on velocity. The cart was released,andthe position and velocity of the cart were measured with the motionsensor software.Time(seconds)Position(meters)Velocity(meters/second)

0.866658 1.273902 0.265542

0.899991 1.256238 0.471058

0.933324 1.239259 0.557238

0.966657 1.219022 0.618978

0.99999 1.197756 0.667428

1.033323 1.174775 0.720021

1.066656 1.14905 0.752035

1.099989 1.124183 0.771615

1.133322 1.098115 0.802199

1.166655 1.070846 0.8365

1.199988 1.042034 0.866512

1.233321 1.013222 0.901099

1.266654 0.982867 0.959695

1.299987 0.948738 1.006286

1.33332 0.915639 1.046589

1.366655 0.878766 1.080032

1.399986 0.842923 1.094753

1.433319 0.806908 1.141773

1.466652 0.766777 1.191794

1.499985 0.728361 1.266254

1.533318 0.682056 1.33071

43.Now, it’s time to plot the PE, KE, and total ME of the cartas it rolls down the track.To do this, let’s first convert eachposition, d, to a height so we can calculate the potential energyof the cart. Open the data above in excel and create a new columnlabeled height. Using equation 7,convert every position measurementto the vertical height of the cart. In excel, make sure you use0.1500983 (radians)

I need help with getting the height not sure if I am doing itright