Question
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In the experiment you used objects with masses that were not necessarily known.
Assume that for a certain object you observed a deformation of size 3. Next, you
remove that object and hang a second, different object, made of different
materials, and observe that the deformation is the same. What can you say about
the mass of the second object compared to the first? Select, the correct answer
and the best argument for it.
There is no relation between the masses since they are not made of the same materials.
There is no relation between the masses, but they must have the same density to be able
to extend the bands equally.
The masses are equal. Objects of equal mass have the same weight, which is the force
producing the deformation.
The masses are equal. When the deformations are the same, this indicates the densities
of the materials are the same.
There is no relation between the masses. Their weight is the same as shown by the
equal deformation, but weight is not directly related to mass.
The masses are equal. The deformation is the same and this indicates that the inertia of
the objects is also equal.

Ask by Dunn Henry. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The masses of both objects are equal because they produce the same deformation, meaning they have the same weight and therefore the same mass.

Solution

Since the deformation is produced by the object’s weight, and weight is related to mass by
an equal deformation indicates that the force (weight) is the same in both cases. The gravitational acceleration is a constant, so if
then dividing by gives
Thus, the second object has the same mass as the first object. The best answer is:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Beyond the Answer

When you see that both objects produced the same deformation despite being made of different materials, it suggests that the force (weight) acting on the suspension system is the same. Since weight is the product of mass and gravitational acceleration, this implies that if the deformations are equal, the weights of both objects must be equal. Thus, although they might not share material properties, the assumption about their masses being equal stands strong based on the consistent effect on deformation.
Would you believe that different materials can behave quite similarly under stress? For instance, rubber and metals can show similar elastic properties at certain scales, allowing for equal deformation under identical loads. This principle of elasticity is exploited in engineering, where diverse materials are used to achieve specific strength or flexibility while ensuring they’re appropriately designed to handle similar forces in applications like suspensions and shock absorbers!

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