Problem: Consider the two spheres shown here, one made of silver and the other of aluminum.If you release the spheres simultaneously, they will have the same velocity when they hit the ground. Will they have the same kinetic energy? If not, which sphere will have more kinetic energy?

FREE Expert Solution

KE = 12mv2


if same velocity

↑ KE = ↑ m


For aluminum

density = massvolumemass = density × volumemass = 2.70 gcm3×196 cm3

mass = 529.2 g


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Problem Details

Consider the two spheres shown here, one made of silver and the other of aluminum.

The aluminum sphere has a composition equal to aluminum, a density equal to 2.70 grams per cubic centimeter, and a volume equal to 196 cubic centimeters. The silver sphere has a composition equal silver, a density equal to 10.49 grams per cubic centimeter, and a volume equal to 196 cubic centimeters.

If you release the spheres simultaneously, they will have the same velocity when they hit the ground. Will they have the same kinetic energy? If not, which sphere will have more kinetic energy?

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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.

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