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**Problem**: Consider the two spheres shown here, one made of silver and
the other of aluminum. The spheres are dropped from a height of 2.1
m.What is the kinetic energy of the aluminum
sphere at the moment it hits the ground? (Assume that energy is conserved during the fall and that 100%
of the sphere’s initial potential energy is converted to kinetic
energy by the time impact occurs.)

###### FREE Expert Solution

###### FREE Expert Solution

We are being asked to **calculate the ****kinetic energy**** of an aluminum sphere** at the moment it hits the ground.

**The aluminum sphere has an energy E which is the total of its potential and kinetic energy.**

Before the aluminum sphere is dropped, all of its energy is **potential energy**. Potential energy is given by the formula:

$\overline{){{\mathbf{E}}}_{{\mathbf{p}}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{m}}{\mathbf{}}{\mathbf{\times}}{\mathbf{}}{\mathbf{g}}{\mathbf{}}{\mathbf{\times}}{\mathbf{}}{\mathbf{h}}}$

where:

* m is the mass*

*g is the Earth's gravity (9.81 m/s*^{2}*)*

*h is the height*

###### Problem Details

Consider the two spheres shown here, one made of silver and the other of aluminum. The spheres are dropped from a height of 2.1 m.

What is the kinetic energy of the aluminum sphere at the moment it hits the ground? (Assume that energy is conserved during the fall and that 100% of the sphere’s initial potential energy is converted to kinetic energy by the time impact occurs.)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Kinetic & Potential Energy concept. You can view video lessons to learn Kinetic & Potential Energy Or if you need more Kinetic & Potential Energy practice, you can also practice Kinetic & Potential Energy practice problems .

How long does this problem take to solve?

Our expert Chemistry tutor, Rae-Anne took 3 minutes to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Geiger's class at MSU.