I need to know what equations to use!
(A)How much work is done moving a 2.0Kg book to a shelf 2.00m high? (B) What is the change of potential energy of the book as a result? (C) How much kineetic energy will the book have as it hits the ground when it falls?
use mgh to calculate the gravitational potential energy
If the book falls 2.00 m to the ground then it will hit the ground with kinetic energy that is the same as the gravitational potential energy at the top.
(note it is kg and not Kg)
what is a tool used to determine the force of push or pull
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To determine the answers to these questions, we need to use relevant equations from the field of physics. Let's go through each question and the corresponding equations step by step:
(A) To calculate the work done in moving the book to the shelf, we can use the equation for work:
Work = Force × distance × cosine(theta)
However, in this scenario, we are working against gravity, so the equation becomes:
Work = Force of gravity × distance × cosine(theta)
In this case, the force of gravity can be calculated using the equation:
Force of gravity = mass × acceleration due to gravity
where the mass is given as 2.0 kg and the acceleration due to gravity is approximately 9.8 m/s^2. The distance is given as 2.00 m, and cosine(theta) is equal to 1 since the angle between the force and the displacement is 0 degrees (since the book is moved vertically).
Substituting these values into the equation, we can find the work done.
(B) The change in potential energy of the book is equal to the work done against gravity. The equation for potential energy is:
Potential energy = mass × gravitational acceleration × height
In this case, the mass is given as 2.0 kg, the gravitational acceleration is approximately 9.8 m/s^2, and the height is given as 2.00 m. Substituting these values into the equation, we can determine the change in potential energy.
(C) To calculate the kinetic energy of the book as it hits the ground, we can use the equation for kinetic energy:
Kinetic energy = 0.5 × mass × velocity^2
In this case, we need to determine the velocity at impact. To do this, we can use the equation for free-fall motion:
velocity = square root of (2 × acceleration due to gravity × height)
Using the known value of the height, we can substitute it into the equation along with the known acceleration due to gravity. Once we find the velocity, we can substitute it into the equation for kinetic energy along with the given mass to find the kinetic energy.
By using these equations, you should be able to find the answers to all three questions.