For the simulation lab, go to the following website

https://www.walter-fendt.de/html5/phen/circularmotion_en.htm

Simulating Circular Motion In this investigation, you will use a computer simulation program to look at the relationships among the magnitude and direction of the centripetal acceleration of an object moving in a circle, the magnitude and direction of the centripetal (net) force acting on the object, the speed of the object, and the radius of the circular motion. Note that in this simulation, you will consider an object that is attached to a string fixed in position at one end. We will not consider the force of gravity. The equation for calculating the centripetal acceleration is: ac = where v is the speed of the object and r is the radius of the circle. The equation for calculating the centripetal force acting on an object is: F = - where m is the mass of the object. Questions (i) What is the mathematical relationship between the centripetal acceleration of an object in uniform circular motion and (a) the speed of the object and (b) the radius of the circle? (ii) What is the mathematical relationship between the centripetal acceleration of an object in uniform circular motion and the radius of the circle? Hypothesis/Prediction (a) What is the relationship between the centripetal acceleration and the speed of an object? the centripetal acceleration of an object and the radius of the circle? (b) Sketch two graphs to illustrate your answers to (a).LSM 3.1-2 Materials a computer simulation program for uniform circular motion, such as Interactive Physics Table 1 Data for Speed and Centripetal Procedure Acceleration of an Object 1. Use the computer simulation program to simulate an object on a 1.0-m string, Speed Centripetal Acceleration moving in a circle at a speed of 1.0 m/s. For each of the speeds in Table 1, deter- v (m/s) a (m/s2) mine the magnitude of the centripetal acceleration of the object. 1.0 2. Set the object moving at a speed of 4.0 m/s, and vary the radius according to 1.4 the values given in Table 2. Calculate and record the magnitude of the cen- 1.8 tripetal acceleration of the object for each radius. 2.2 3. Set the object moving at a speed of 4.0 m/s at a radius of 1.0 m. Determine 2.6 and record the magnitude of the centripetal acceleration and the centripetal 3.0 force of the object for each mass in Table 3. Table 2 Data for Radius and Centripetal Analysis Acceleration of an Object 4. Plot a centripetal acceleration-speed graph and a centripetal acceleration- radius graph. From the shapes of your graphs, determine the relationship Radius Centripetal Acceleration between the magnitude of the centripetal acceleration and the speed of the r (m) a (m/s?) object. Determine the relationship between the magnitude of the centripetal 1.0 acceleration and the radius. 1.2 .. . . 1.4 1.6 1.8 2.0Table 3 Mass, Acceleration, and Centripetal Force Centripetal Centripetal Mass Acceleration Force m (kg) a (m/s?) F (N) 5. What is the relationship between centripetal acceleration and centripetal force? Sketch the graph that depicts this relationship. 0.20 0.40 0.60 0.80 1.00 1.206. Examine and describe the direction of the velocity vector in your simulation. 7. Examine and describe the direction of the centripetal acceleration vector in your simulation. 8. Examine and describe the direction of the centripetal force vector in your simulation