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Calculating Distance with Potential Energy
What distance is a book from the floor if the book contains 195 Joules of potential energy and has a mass of 5 kg?
A.
975 m
B.
39 m
C.
3.9 m
D.
9,555 m
Oh, a physics problem, how delightful! Let's get down to business. We're given a book with a mass of 5 kg and 195 Joules of potential energy. We need to find the distance from the floor.
To do this, we can use the formula: mgh = U, where m is the mass, g is the acceleration due to gravity (approximately 9.8 m/s^2), h is the height, and U is the potential energy.
Rearranging the formula to solve for h, we get: h = U / (m * g)
Plugging in the values, we get: h = 195 J / (5 kg * 9.8 m/s^2) = 3.98 m
So, the correct answer is C. 3.9 m. Well, isn't that just peachy?

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