A 1.55 m tall person lifts a 1.80 kg book off the ground so it is 1.95 m above the ground.
A.)
What is the potential energy of the book relative to the ground?
B.)
What is the potential energy of the book relative to the top of the person's head?
A. = PE = Mg*h = 1.8*9.8 * 1.95 =
B. PE = 1.8*9.8 * 1.55 =
To calculate the potential energy of an object, you need to know its mass, height, and the acceleration due to gravity. In this case, the mass of the book is given as 1.80 kg, the height of the book above the ground is 1.95 m, and the acceleration due to gravity is approximately 9.8 m/s^2.
A.) To find the potential energy of the book relative to the ground, you can use the formula:
Potential Energy = Mass * Gravity * Height
Potential Energy = 1.80 kg * 9.8 m/s^2 * 1.95 m
Simplifying this equation, you get:
Potential Energy = 34.938 J (Joules)
Therefore, the potential energy of the book relative to the ground is 34.938 Joules.
B.) To find the potential energy of the book relative to the top of the person's head, you need to consider the additional height difference between the book and the person's head. Given that the person is 1.55 m tall, the height of the book relative to the person's head is:
Height difference = 1.95 m - 1.55 m = 0.4 m
Using the same formula as before, you can find the potential energy of the book relative to the person's head:
Potential Energy = Mass * Gravity * Height difference
Potential Energy = 1.80 kg * 9.8 m/s^2 * 0.4 m
Simplifying this equation, you get:
Potential Energy = 7.056 J (Joules)
Therefore, the potential energy of the book relative to the top of the person's head is 7.056 Joules.