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!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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