Decrease in Potential Energy of a Sliding Tile

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SUMMARY

The decrease in potential energy of a sliding tile with a mass of 1.2 kg sliding down a roof at a 35-degree angle is calculated using the formula PE = mgh. The correct calculation is PE = 1.2 kg x 10 m/s² x (3 m x sin(35°)), resulting in a decrease of 20.6 J. The initial miscalculation of 24.8 J arose from an incorrect value for the height component, specifically using 12 instead of the correct height derived from the angle.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Knowledge of trigonometric functions, specifically sine
  • Familiarity with basic physics concepts related to mass and acceleration due to gravity
  • Ability to use a scientific calculator for trigonometric calculations
NEXT STEPS
  • Review the principles of gravitational potential energy calculations
  • Study the application of trigonometric functions in physics problems
  • Learn how to accurately use a scientific calculator for physics calculations
  • Explore the differences between using g = 9.8 m/s² and g = 10 m/s² in calculations
USEFUL FOR

Students studying physics, educators teaching energy concepts, and anyone interested in understanding the calculations of potential energy in inclined planes.

Shah 72
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A tile of mass 1.2 kg slides 3m down a roof that makes an angle of 35 degree to the horizontal. Find the decrease in potential energy.
Iam getting the ans 24.8J
PE = mgh= 1.2× 12 sin 35 ×3
The ans in the textbook is 20.6J
 
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You have the right idea but something went wrong.

Your mistake: PE = mgh = 1.2 x 10 x (3 x sin(35)). Where did you get the 12 from?

PE = mgh = 1.2 x 10 x (3 x sin(35)) = 20.6 J.

(You have to use a Scientific calculator anyway, so I don't understand why you would be told to use g = 10 m/s^2 instead of 9.8 m/s^2. I think it's silly!)

-Dan
 
topsquark said:
You have the right idea but something went wrong.

Your mistake: PE = mgh = 1.2 x 10 x (3 x sin(35)). Where did you get the 12 from?

PE = mgh = 1.2 x 10 x (3 x sin(35)) = 20.6 J.

(You have to use a Scientific calculator anyway, so I don't understand why you would be told to use g = 10 m/s^2 instead of 9.8 m/s^2. I think it's silly!)

-Dan
Thank you!
 

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