Problemas
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
Roztwór
Walter
professionell · Tutor durante 6 años
4.5
(169 Votos)
Respuesta
The height of the book from the floor is approximately 5.30 meters.
Explicación
## Step 1The 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:### **Potential Energy = mass * gravity * height**where:- Potential Energy is the energy an object possesses due to its position relative to other objects,- mass is the amount of matter in an object,- gravity is the acceleration due to gravity, and- height is the distance of the object from the ground.## Step 2In 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.## Step 3We can rearrange the formula to solve for height:### **Height = Potential Energy / (mass * gravity)**## Step 4Substitute the given values into the formula:### **Height = 364 Joules / (7 kg * 9.8 m/s²)**