Name _____________________________________________________________ DATE ___________________ Energy of a Rolling Ball Lab Introduction Raised objects have gravitational potential energy (PE). Moving objects have kinetic energy (KE). The purpose of this lab is to find out how these two kinds of energy are related in a system in which a ball rolls down a ramp. There are nine stations. Your teachers will assign you and your partner a starting station, and you will be will be given 10 minutes to measure the height, distance traveled, and time interval for a ball rolling down the ramp before moving to the next station. You will also calculate the ball’s potential energy at the top of the ramp, and its kinetic energy at the bottom of the ramp. The rest of class time will be spent completing math and analyzing the results to find the relationship between potential energy and kinetic energy. Research Define the following concepts: Potential Energy: __________________________________________________________________________________ ___________________________________________________________________________________________________ Kinetic Energy: ____________________________________________________________________________________ ___________________________________________________________________________________________________ Gravity: ___________________________________________________________________________________________ ___________________________________________________________________________________________________ Gravitational Potential Energy: ____________________________________________________________________ ___________________________________________________________________________________________________ Law of Conservation of Energy: ___________________________________________________________________ ___________________________________________________________________________________________________ Give the formula for the following concepts, include units. Speed: Kinetic Energy: Gravitational Potential Energy: 1 Materials scale board, at least 90 cm (3 ft) long box ball masking tape meterstick stopwatch stack of books, at least 45 cm high calculator Hypothesis The room is set up in 9 stations. Three of the stations are “height 1” and is the lowest height. Three stations are “height 2”, which is an intermediate height. Three stations are “height 3”, which is the tallest height. With your partner, look at the different height stations. Based on your observations predict the following: Which station do you believe will have the highest potential energy? Lowest potential energy? Why? ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ Which station do you think will have the highest kinetic energy? Lowest kinetic energy? Why? ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ Which station do you think will take the shortest amount of time for the ball to reach the bottom of the ramp? The longest time? Why? ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ Which station do you think will have the fastest speed? The slowest speed? Why? ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ ___________________________________________________________________________________________________ 2 Procedure 1. Go to the assigned height station. 2. Weigh the ball in kilograms and record in data table I. HINT: scales give you the weight in grams, you must MOVE THE DECIMAL SPACE over to the left 3 spots in order to convert to kilograms! 3. Using the meter stick, determine the height of the ramp by measuring from the table top to the highest point on the ramp: Record the height in meters in the data table I. HINT: If you measured the height of the ramp in centimeters you must convert this to meters. You must move the decimal to the left 2 spots! 4. Again, using the meter stick, determine the length of the ramp. Do not include the “catch box” into this measurement. Use the diagram as a reference. Record in data table I. 5. For trial 1, place the ball on the ramp at the tape. Use the stopwatch on your phone to measure how long it takes IN SECONDS for the ball to reach the bottom of the ramp. LET THE BALL GO, so that it rolls down the ramp. DO NOT PUSH IT. Record this time in data table I. 6. Repeat step 5 twice more and record in data table I. 7. After the third trial, calculate the average travel time and record in data table I. HINT: add all travel times together and divided by three to find the average. 3 Data Table I Height 1 Mass of ball (kg) Height of Ramp (m) *****AT THE END OF 10 MINUTES, Length of Ramp (m) YOUR TEACHER WILL TELL YOU TRIAL 1 Time (s) TO MOVE STATIONS. IF YOU ARE TRIAL 2 Time (s) CONFUSED, ASK!!***** TRIAL 3 Time (s) AVERAGE Time (s) (Time 1 + Time 2 + Time 3 / 3) Data Table II 8. Repeat steps 3-7 for height 2 and record information in data table II. *****AT THE END OF 10 MINUTES, YOUR TEACHER WILL TELL YOU TO MOVE STATIONS. IF YOU ARE CONFUSED, ASK!!***** Height 2 Mass of ball (kg) Height of Ramp (m) Length of Ramp (m) TRIAL 1 Time (s) TRIAL 2 Time (s) TRIAL 3 Time (s) AVERAGE Time (s) (Time 1 + Time 2 + Time 3 / 3) Data Table III Height 3 Mass of ball (kg) 9. Repeat steps 3-7 for height 3 and record information in data table III. Height of Ramp (m) Length of Ramp (m) TRIAL 1 Time (s) TRIAL 2 Time (s) TRIAL 3 Time (s) AVERAGE Time (s) (Time 1 + Time 2 + Time 3 / 3) 4 Analysis 1. In the data table below, you will need to complete various calculations for each ramp height. For all of the calculations, equations can be found in the data table. Ramp Height 1 Ramp Height 2 Ramp Height 3 Average speed (m/s) Length of ramp / average time Final speed (m/s) Final speed = average speed x 2 Kinetic Energy (J) KE = ½ mv2 Initial Potential Energy (J) PE = mgh Initial PE – KE (J) 2. Look at the potential energy at the top of the ramp for each of the three ramp heights. For each ramp height, is the ball’s initial potential energy at the top of the ramp greater than, less than, or the same as the ball’s kinetic energy at the bottom of the ramp? Ramp Height 1: ______________________________________________________ Ramp Height 2: ______________________________________________________ Ramp Height 3: ______________________________________________________ 3. As the ramp height was raised, did the ball’s potential and kinetic energy increase, decrease, or stay the same? ________________________________________________________________________________________________ 4. If the experiment was done with a ramp at Height 1, but a heavier ball was used instead, what would happen to the potential energy? What would happen to the kinetic energy? ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ 5 5. If the length of the ramp is increased, what happens to the average speed? Explain how this effects the potential and kinetic energy. ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ Conclusion 1. Suppose that you perform this experiment and find that the values for kinetic energy are always just a little less than the values for potential energy. Did you do the experiment wrong? All of the potential energy should be converted to kinetic energy. What happened to the rest of the potential energy? ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ 6
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