Modeling 1-D Equations of Motion with the PhET Projectile Motion simulation (Links to an external site.)<\/p>\n
https:\/\/phet.colorado.edu\/sims\/html\/projectile-motion\/latest\/projectile-motion_en.html<\/p>\n
Your goal in this lab is to verify the 1-D equations of motion with constant acceleration using the PhET Projectile Motion simulation.<\/p>\n
Introduction:<\/p>\n
If you fire a projectile straight up it will reach a maximum height and fall back to the ground. <\/p>\n
Approximation: If you remain close to the surface of Earth, the acceleration due to gravity is constant: g = 9.81 m\/s2<\/p>\n
Choose y as the vertical direction in space.
y = 0 = ground level
Choose up as the y direction.
Ignore air resistance<\/p>\n
The resulting equations of motion for the vertical direction are:<\/p>\n
y = yo voyt – \u00bd gt2
vy = voy \u2013 gt
vy2 = voy2 – 2g(y-yo)<\/p>\n
yo = the initial height
voy = the initial velocity in the y direction.
ay = -g, with g = 9.81 m\/s2 = the acceleration due to gravity near the surface of Earth.
Why is ay negative?<\/p>\n
Check the PhET Projectile Motion simulation (Links to an external site.)<\/p>\n
Select INTRO<\/p>\n
Set yo = 2.00m
Point the cannon straight up (90 degrees)
Choose voy = 10.0 m\/s and g = 9.81 m\/s2 (default value).<\/p>\n
Part I: Check the Equations of Motion<\/p>\n
Fire the cannon and select any two points at random along the trajectory.
Use the “blue” measuring tool to determine the values of the height y and the time t for both of your two points.
Verify that both of your points satisfies Equation 1: y = yo voyt – \u00bd gt2 (show your work).<\/p>\n
Part II: When does it hit the ground?<\/p>\n
The object will hit the ground when y = 0. Use Equation 1 given above to solve for the time when the projectile hits the ground (yes, it is a quadratic equation), and use the measuring tool to check your answer.<\/p>\n
Part III: When does it reach maximum height?<\/p>\n
The object reaches its maximum height when vy = 0. Use equation 2 given above to solve for the time when the object reaches maximum height and use the measuring tool to check your answer.
Part IV: How close are your predictions?<\/p>\n
The best way to compare two values is to use the Relative Difference. <\/p>\n
Relative Difference = \u2223\u2223(Measured\u2212Predicted)Predicted\u2223\u2223<\/p>\n
x100%<\/p>\n
Note that the units will cancel out, and the Relative Difference is a positive percentage. <\/p>\n
How close were your predictions for parts II and III?<\/p>\n
Part V: Lab Report<\/p>\n
Each group turns in one report. I prefer WORD or PDF documents, but you can also take pictures of your hand-written results.
Use Submit Lab 1 on the next page.
Make sure everyone’s full name is on the first page of the report.
Turn in your results for parts I-IV. You do not need to create a formal lab report this week.<\/p>\n","protected":false},"excerpt":{"rendered":"
Modeling 1-D Equations of Motion with the PhET Projectile Motion simulation (Links to an external site.) https:\/\/phet.colorado.edu\/sims\/html\/projectile-motion\/latest\/projectile-motion_en.html Your goal in this lab is to verify the 1-D equations of motion with constant acceleration using the PhET Projectile Motion simulation. Introduction: If you fire a projectile straight up it will reach a maximum height and fall […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[32],"class_list":["post-49064","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-physics"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/49064","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=49064"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/49064\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=49064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=49064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=49064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}