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A book falls off the top of a bookshelf. After 2.00 s, the book has 15.4 J of potential energy. The mechanical energy of the drop is 32.0 J.

What is the kinetic energy of the book at this point?

Hint: [tex]\( E = PE + KE \)[/tex]

Sagot :

GinnyAnswer
To determine the kinetic energy of the book at this moment, we can use the relationship between mechanical energy, potential energy, and kinetic energy.

The total mechanical energy (E) of a system is the sum of its potential energy (PE) and kinetic energy (KE). The formula can be expressed as:
[tex]\[ E = PE + KE \][/tex]

We are given the following values:
- Potential energy (PE) = 15.4 J
- Mechanical energy (E) = 32.0 J

We need to find the kinetic energy (KE). Rewriting the formula to solve for KE, we get:
[tex]\[ KE = E - PE \][/tex]

Substitute the given values into the equation:
[tex]\[ KE = 32.0\, \text{J} - 15.4\, \text{J} \][/tex]

Now, perform the subtraction:
[tex]\[ KE = 16.6\, \text{J} \][/tex]

Therefore, the kinetic energy of the book at this point is:
[tex]\[ KE = 16.6\, \text{J} \][/tex]
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