A ball falls from a shelf. Assuming there is no friction, why is the conservation of mechanical energy independent of mass?
Mass is eliminated when equating gravitational potential energy with kinetic energy.
The mass of the ball is insignificant compared with the mass of Earth.
Mass is eliminated when equating elastic potential energy with kinetic energy.***
The displacement of the ball is insignificant compared with Earth's size.
1. Ball A was carried to the top of a hill in a straight line……
~C.Both balls have equal potential energy.
A swimmer jumps from a diving board into a pool. What would a graph of the…..
~B. Potential energy would decrease, while total mechanical energy would remain constant.
3. A student wants to design an experiment to study the transformation….
~ C. A slide
4. A ball from a shelf. Assuming there is no…….
~A. Mass is eliminated when equating potential energy with kinetic energy.
5. A marble is attached to a compressed horizontal spring….
~1/2mv^2=1/2kx^2
coconut is mi idol is 100% correct except in question 4 there are two answers that are the same but one is elastic potential energy and the other is gravitational potential energy and you need to choose the one that says gravitational energy.
1. Both balls have equal potential energy.
2. Potential energy would decrease, while total mechanical energy would remain constant.
3. a slide
4. Mass is eliminated when equating gravitational potential energy with kinetic energy.
5. 1/2mv^2 = 1/2kx^2
Mass is eliminated when equating gravitational potential energy with kinetic energy.
Yes, (1/2) m v^2 = m g h
Mass is eliminated when equating potential energy with kinetic energy.
Coconut Is Mi Idol is correct but Anonymous is also correct with the fact you need to choose gravitational potential energy! Thanks for helping me check my answers guys! :)
The correct answer is: Mass is eliminated when equating gravitational potential energy with kinetic energy.
When a ball falls from a shelf, assuming there is no friction, it experiences a change in energy. Initially, the ball possesses gravitational potential energy due to its position on the shelf. As it falls, this potential energy is converted into kinetic energy, which is the energy of motion.
The reason why the conservation of mechanical energy is independent of mass is because mass cancels out when equating gravitational potential energy and kinetic energy. The equations for gravitational potential energy (PE) and kinetic energy (KE) are as follows:
PE = mgh
KE = (1/2)mv^2
In these equations, "m" represents the mass of the object, "g" represents the acceleration due to gravity, "h" represents the height from which the object falls, and "v" represents the velocity of the object.
When equating PE and KE, you would have:
mgh = (1/2)mv^2
By dividing both sides of the equation by "m", the mass cancels out:
gh = (1/2)v^2
As you can see, the mass is eliminated, and we are left with only variables related to the height and velocity of the object. This means that regardless of the mass of the ball, the conservation of mechanical energy remains the same.
It's important to note that this explanation assumes negligible air resistance and other factors that may affect the object's motion.