MHB Decrease in Potential Energy of a Sliding Tile

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A tile with a mass of 1.2 kg slides 3 meters down a roof at a 35-degree angle, resulting in a decrease in potential energy. The correct calculation for potential energy is PE = mgh, where g is approximated as 10 m/s², leading to a value of 20.6 J. The initial calculation of 24.8 J was incorrect due to an error in the height used in the formula. The discussion highlights confusion over using g = 10 m/s² instead of the more precise 9.8 m/s². Accurate calculations are crucial for determining potential energy in physics problems.
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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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