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# Golf Ball Verse a Tennis Ball an Investigation of Gravitational (GPE) and Elastic (PE) Potential Energy Which Do You Hypothesize Would Have More Potential Energy

Name ______per____ date_____ mailbox______Golf verse a Ball An Investigation of Gravitational (GPE) and Elastic (PE) Potential Energy Which do you hypothesize would have more potential energy. A tennis ball or a ball dropped from the same height? GPE = MASS (grams) X HEIGHT (meters) x GRAVITY

Gravitational constant = 9.8m/s2 1. Calculate GPE of a tennis ball?

2. Calculate GPE of a ?

Done, right? Does either ball have any elastic potential energy? What if elastic PE and GPE somehow work together to increase the overall PE? How might we test this? Think, pair, share. Ideas….?

Table 1 – Tennis Ball GPE at 1 meter Kinetic bounce height after first drop 1 ___ m ___ m 2 ___ m ___ m 3 ___ m ___ m 4 ___ m ___ m

Table 2 – Golf Ball GPE at 1 meter Kinetic bounce height after first drop 1 ___ m ___ m 2 ___ m ___ m 3 ___ m ___ m 4 ___ m ___ m

Create a double line graph on the graph below.

What is the dependent variable? ______plot on y-axis

What is the independent variable? ______plot on x-axis

Label and number the axis, then plot the data from both groups for comparison.

Title - Energy Conserved after bounce of Golf and Tennis Ball – A relative measure of Elastic PE

What can we conclude after having analyzed our graph, regarding the nature of PE in the two different ? Which has greater GPE? Which has greater elastic energy? Elaborate ______Name ______per____ date_____ mailbox______Golf Ball verses a Tennis Ball An Investigation of Gravitational (GPE) and Elastic (PE) Potential Energy Which do you hypothesize would have more potential energy. A tennis ball or a golf ball dropped from the same height? GPE = MASS (grams) X HEIGHT (meters) x GRAVITY

Gravitational constant = 9.8m/s2 1. Calculate GPE of a tennis ball? GPE tennis ball = 57.4 grams x 1 meter x (9.8m/s2 gravity acceleration)

GPE tennis ball = 57.4 (g) x 1 (m) x (9.8m/s2 ) = 57.4 g(m) x (9.8m/s2 ) 2. Calculate GPE of a golf ball?

GPE golf ball = 45.6 (g) x 1 (m) x (9.8m/s2 ) = 45.6 g(m) x (9.8m/s2 )

“Done, right? Wrong – what about elastic PE…that’s potential energy too!” Does either ball have any elastic potential energy? What if elastic PE and GPE somehow work together to increase the overall PE? How might we test this? Think, pair, share. Ideas….?

Table 1 – Tennis Ball TOTAL Potential Energy of= GPE (TENNIS X Elastic BALL) PE at “kinetic heights bounce ” GPE at 1 meter Kinetic bounce Total PE = GPE X Elastic PE “kinetic bounce” Total PE = 114.8 g(m) x 1.05 (m) = 120.5 g(m2) = 57.4 g(m) height after drop Total PE = 114.8 g(m) x 1.05 (m) =

Total PE = 57.4 g(m) x 0.6 (m) = 34.4 g(m2) 1 2 m 1.05 m Total PE = 57.4 g(m) x 0.6 (m) = 2 1 m 0.6 m Total PE = 43 g(m) x 0.4 (m) = 17.2 g(m2) Total PE = 43 g(m) x 0.4 (m) = 3 0.75 m 0.4 m Total PE = 28.7 g(m) x 0.3 (m) = 8.6 g(m2) 4 0.5 m 0.3 m Total PE = 28.7 g(m) x 0.3 (m) =

Table 2 – Golf Ball TOTAL Potential Energy of (GOLF BALL) at heights Total PE = GPE X Elastic PE “kinetic bounce” GPE at 1 meter Kinetic bounce Total PE = 91.2 g(m) x 1.5 (m) = = 45.6 g(m) height after drop Total PE = 45.6 g(m) x 0.8 (m) = 1 2 m 1.5 m Total PE = 34.2 g(m) x 0.6 (m) = 2 1 m 0.8 m 3 0.75 m 0.6 m Total PE = 22.8 g(m) x 0.4 (m) = 4 0.5 m 0.4 m Create a double line graph on the graph paper below. What is the ? plot on y-axis What is the independent variable? Drop Heights plot on x-axis

Label and number the axis, then plot the data from both groups for comparison.

Title - Energy Conserved after bounce of Golf and Tennis Ball – A relative measure of Elastic PE

DROP HEIGHT (meters)

Analyze the data and the graph to answer the following: 1. Which ball has the greatest gravitational potential energy (GPE)?

2. Which ball has the greatest elastic potential energy (measure as kinetic bounce back)?

3. Which ball has the greatest total potential energy?