Question

Ultrasonic motion sensor Pre - laboratory Assignment In experiments 1 and 2, you will use a cart, track, and motion detector like those Spring bumper illustrated in Figure 1 to validate the work-energy theorem end examine the conversation of mechanical energy principle. Sonar reflector Cart Track Data acquisition TC Leveling jacks Figure 1. Experimental setup used in Lab #6 Consider the following exercises/questions relevant to experiments 1 and 2. Question 1. Show that the kinematics equation 12 - v2 = 2aAx that relates the object's initial velocity, V., and final velocity, v, with its displacement, Ax, and acceleration can be derived from the Work-Energy theorem. Question 2. A force acts on an object of mass 0.790 kg. The object's acceleration varies with position as shown in the graph to the right (a) Find the work done by the force in moving the object from 0.75 m to 2.0 m Show your work Acceleration (m/s) 1 08 20 Position (m) PreLab #6 Page 1 of 2

Answer 1

What I wook done by a Pre-laboratory assignment - theoemem > Change in ki Eo, ak all 1 7 using the woek-energy the forces on the - 1 mo? AR Here 2. 2 2 mo? I mu? = Fuel body o is the final velocity, & is the initial velocity and an is the displacement. 1 mu? I mo 2 = maan canceting in from both less using Fact Lusing fret = ma (² 8² = zaos Peoved. 2= mass of the object = 0.79 kg. have to find the work done force in moving the object from 8.75 to 2.m. 37 Sida [hehese ds is the displacement Isom wasmado wa mfade 2, > Womy area under the a-ucleure har ni = 0.75 af=2 m. > velocity at a we by the know that Ni no af =) 72m

using 2 kg - ki=w kg = k kitw [ki = 1/2 = 1/2 m. = 1X0.194 (0.75 +1.2 - 1.42 Andwa final kinetic eneegy encegy is 1.42 Joube