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Apr 27, 2024
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Rolling Cans Physical Lab Hypothesis (5 Points) The full can rolls down the ramp faster than the empty one due to it having a higher mass. This causes more force to push it down the ramp which creates energy to build up and create the can to speed up and go faster. Data Table | (6 Points) Can Diameter (m) 074 Can Radius (m) 037 Ramp Height (m) .32m Ramp Length (m) 1.76m Ramp Angle (-) 10.48 degrees Displacement (m) 1.6m Calculations (2 Points Each) A. Can Radius radius=diameter/2 radius=.074/2 radius=.037m B. Ramp Angle arcsin(((sin(90))32)/176)=10.48 degrees Data Table Il (6 Points) Trial 1 Trial 2 Trial 3 Empty Can 1.88s 1.74s 1.83s Full Can 1.39s 1.45s 1.49s Calculations Table (17 Points)
Average Time Average Velocity Final Velocity Predicted Final Velocity Empty Can 1.81s .88m/s 1.81m/s 2.12m/s Full Can 1.44s 1.11m/s 1.93m/s 2.12m/s Calculations (2 Points Each) A. Average Time Empty Can: (1.88+1.74+1.83)/3=1.81s Full Can: (1.39+1.45+1.49)/3=1.44s B. Average Velocity Average velocity=total displacement/total time Empty Can: Vavg=1.6/1.81=.88m/s Full Can: Vavg=1.6/1.44=1.11m/s C. Final Velocity VfA2=v0"2-2gh(y-direction) V for x=displacement/time VEA2=(VX)A2+(Vy)A2 Vf=1.93m/s Predicted Final Velocity (sample calculations for Full can) (5 Points Each) A. Conservation of Energy Equation including rotational kinetic energy. PE=mgh KE=.5mv"2+.5lw"2 |=2/5mr"2
Conservation of energy: mgh+.5mv*2+.5lw”2 B. Substitute the value of | for the shape into the equation. mgh=.5mv”"2+.5(2.5mr*2)w"2 C. Substitution to convert angular velocity to linear velocity. mgh=.5mv”"2+.5(2/5mr*2)(v/r)"2 D. Setthe equation above so it is solving for v. (this one is 6 points) V=sqrt(gh(10/7)) E. Solve for the velocity of the full can. V=sqrt((9.8)(.32)(10/7))=2.12m/s Questions (4 Points Each) 1. Was your hypothesis correct? Yes, my hypothesis that the full can would fall down the ramp faster was correct 2. Which can had the highest linear velocity? How can this be explained using the conservation of energy equation? The full can had the highest linear velocity because when | calculated the conservation of energy, the numbers were higher. 3. Does the mass of the can matter? Support your answer using the conservation of energy equation. Yes the mass of the can does matter. The mass is used inorder to find inertia which is then used to find final velocity. Final velocity is incorporated in the conservation of energy equation. So when mass increases, inertia also increases. 4. The assumption in the lab was that the full can had a uniform mass distribution. Is this assumption correct? Why or why not?
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No it is not because the full can is full of food in it. The amount of food in each part of the can could be uneven within the can. 5. How would changing the length of the can change the results? Why? The length wouldn't change anything because the length is not used in any of the calculations Conclusion (10 Points) This lab allowed me to think creatively with the different equations from this unit. It helped me see how mass can affect inertia which then leads us to find other things. This lab also helped me get a clear understanding of deriving formulas from each other. Also learning the importance of knowing which formula to use given in a certain situation.