Diagram 1.6: Diagram showing tension force in the string (from 0 cm increasing in 1 cm until a displacement of 15 cm has been attained) This diagram shows the manner in which the tension force applied to the string was calculated. Starting at 0 centimeters, forces were provided in the string such that the string would extend one additional centimeter from the previous measurement. Using the Capstone® software, the force applied to the string was calculated at the given horizontal displacements.
Procedure/Methods:
For part one of the experiment a Hot Wheels® toy car, several pieces of Hot Wheels® track, some duct tape, a photogate sensor, and a computer with PASCO Capstone® software will be required. Place the toy car at the top of the …show more content…
Make sure that a video recording device is available to help make measuring the maximum horizontal distance much easier by being able to slow down the collision. Place the toy car at the top of the track and let go of the toy car. The car will begin to go down the track because of acceleration due to gravity. The car will collide with the spring and cause the spring to bend some horizontal distance. Repeat this process two additional times for a total of three attempts. After the three attempts have been completed, use the force sensor and the Capstone ® Software in order to determine the actual tension force provided to the string. Starting at an overall stretched string displacement of 0.0 cm, increase the force provided to the string such that the string displacement increases by 1.0 cm. Repeat this process until the overall string displacement becomes 15.0 cm. Plot the tension force produced from the Capstone Software over the total horizontal displacement of the string at that particular instant. Analyze the plot produced in excel in order to determine the work in stretching the elastic …show more content…
Elf / meter (J/m) 0.0148
Distance should travel (m) 1.852
Distance actually traveled (m) 1.848
Difference (m) 0.004
Calculation 2.1: Potential Energy of the Toy Car
PE=mgh
PE=0.03018 * 9.8 *0.09
PE=0.0274 J
Calculation 2.2: Energy Lost due to Friction
Elf=PE/Distance should travel
Elf=0.0274 J/ 1.852 m
Elf=0.0148 J/m
Calculation 2.3: Energy Actually Lost due to Friction
Elf=PE - KE
Elf=0.0274/1.848
Elf=0.0148 J/m
Calculation 2.4: Distance Car Should Travel
∆x= PE/E_(lf/m)
∆x=0.0274/0.0148
∆x=1.852 m
Part Three:
Table 3.1: “Stop on a Dime” Experiment Data Values
Elf / meter (J/m) 0.0148
PE that should be needed (J) 0.0148
Predicted height needed (m) 0.0485
Distance actually traveled (m ) 1.00
Experimental height range needed (m) 0
Calculation 3.1: Potential Energy Needed to make toy Car travel 1 meter
PE = Elf / meter
PE =0.0148
Calculation 3.2 Predicted Height Needed for toy Car to travel 1 meter h = PE*m*g h = 0.0148*(0.03108)*(9.81) h = 0.0485 m
Part Four:
Table 4.1: Displacement of the String Trial Run Values
Displacement of String (cm) Run 1 Run 2 Run 3 2.5 + 0.05 2.6 + 0.05 2.4 + 0.05
Calculation 4.1: Average Displacement of String from Experimental Values x=(x_1+ x_2+ x_3)/3 x=(2.5 + 2.6 + 2.4)/3
Procedure/Methods:
For part one of the experiment a Hot Wheels® toy car, several pieces of Hot Wheels® track, some duct tape, a photogate sensor, and a computer with PASCO Capstone® software will be required. Place the toy car at the top of the …show more content…
Make sure that a video recording device is available to help make measuring the maximum horizontal distance much easier by being able to slow down the collision. Place the toy car at the top of the track and let go of the toy car. The car will begin to go down the track because of acceleration due to gravity. The car will collide with the spring and cause the spring to bend some horizontal distance. Repeat this process two additional times for a total of three attempts. After the three attempts have been completed, use the force sensor and the Capstone ® Software in order to determine the actual tension force provided to the string. Starting at an overall stretched string displacement of 0.0 cm, increase the force provided to the string such that the string displacement increases by 1.0 cm. Repeat this process until the overall string displacement becomes 15.0 cm. Plot the tension force produced from the Capstone Software over the total horizontal displacement of the string at that particular instant. Analyze the plot produced in excel in order to determine the work in stretching the elastic …show more content…
Elf / meter (J/m) 0.0148
Distance should travel (m) 1.852
Distance actually traveled (m) 1.848
Difference (m) 0.004
Calculation 2.1: Potential Energy of the Toy Car
PE=mgh
PE=0.03018 * 9.8 *0.09
PE=0.0274 J
Calculation 2.2: Energy Lost due to Friction
Elf=PE/Distance should travel
Elf=0.0274 J/ 1.852 m
Elf=0.0148 J/m
Calculation 2.3: Energy Actually Lost due to Friction
Elf=PE - KE
Elf=0.0274/1.848
Elf=0.0148 J/m
Calculation 2.4: Distance Car Should Travel
∆x= PE/E_(lf/m)
∆x=0.0274/0.0148
∆x=1.852 m
Part Three:
Table 3.1: “Stop on a Dime” Experiment Data Values
Elf / meter (J/m) 0.0148
PE that should be needed (J) 0.0148
Predicted height needed (m) 0.0485
Distance actually traveled (m ) 1.00
Experimental height range needed (m) 0
Calculation 3.1: Potential Energy Needed to make toy Car travel 1 meter
PE = Elf / meter
PE =0.0148
Calculation 3.2 Predicted Height Needed for toy Car to travel 1 meter h = PE*m*g h = 0.0148*(0.03108)*(9.81) h = 0.0485 m
Part Four:
Table 4.1: Displacement of the String Trial Run Values
Displacement of String (cm) Run 1 Run 2 Run 3 2.5 + 0.05 2.6 + 0.05 2.4 + 0.05
Calculation 4.1: Average Displacement of String from Experimental Values x=(x_1+ x_2+ x_3)/3 x=(2.5 + 2.6 + 2.4)/3