1. A 1.5kg book is lifted to 0.4m above the table.
a. How much potential energy is possessed by the book? (paki sagot po)
b. If the book fell, how much potential energy is possessed by the book if it is now 0.2m above the floor? (pakisagot po)
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Verified answer
Answer:
1. a. PE = mgh
= (1.5kg) (9.8 [tex]\frac{m}{s^2}[/tex]) (0.4m)
= 5.88 J
b. PE = mgh
= (1.5kg) (9.8 [tex]\frac{m}{s^2}[/tex]) (0.2m)
= 2.94 J
Explanation:
Potential energy is the stored energy of the object. It is an energy associated with the object's position. Since the pull of gravity is constant (9.8 [tex]\frac{m}{s^2}[/tex]), potential energy is affected by the mass and height. Specifically, the formula for potential energy is PE = mgh. The unit of potential energy is Joules or Newton-meter. The potential energy is directly proportional to mass and height. The greater the mass or the height of the object, the greater the potential energy.
In the question, the object was initially at a 0.4 m height, and substituting the formula, we were able to get potential energy which is equal to 5.88 J. After falling, the height decreased to 0.2 m, and substituting the formula the new potential energy of the object is now equal to 2.94 J which is lower than its initial potential energy. In this situation, we can see that since mass is the same, the height of the book affected the potential energy - lesser height means lesser potential energy possessed by the object.
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