What distance is a book from the floor If the book contains 364 Joules of potential energy and has a mass of 7 kg? a 52.J b 5.30 m C 427J d d 68.6J

## Step 1<br />The problem involves the calculation of the height of a book from the floor, given the potential energy and the mass of the book. The formula for potential energy is:<br />### **Potential Energy = mass * gravity * height**<br />where:<br />- Potential Energy is the energy an object possesses due to its position relative to other objects,<br />- mass is the amount of matter in an object,<br />- gravity is the acceleration due to gravity, and<br />- height is the distance of the object from the ground.<br /><br />## Step 2<br />In this problem, the potential energy is given as 364 Joules, the mass of the book is 7 kg, and the acceleration due to gravity is approximately 9.8 m/s².<br /><br />## Step 3<br />We can rearrange the formula to solve for height:<br />### **Height = Potential Energy / (mass * gravity)**<br /><br />## Step 4<br />Substitute the given values into the formula:<br />### **Height = 364 Joules / (7 kg * 9.8 m/s²)**