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zvonat [6]
10 months ago
14

The sides of a cube are each of length 1. 00 m. Each side is measured with an uncertainty

Physics
1 answer:
astraxan [27]10 months ago
7 0

The absolute uncertainty in the volume of the cube is 0.06 m³.

We need to know about the uncertainty of measurement to solve this problem. The uncertainty of cube volume can be determined by

V = s³

|ΔV| = dV/ds x Δs

where V is volume, s is length, ΔV is uncertainty in the volume and Δs is the uncertainty of length.

From the question above, we know that

s = 1.00 m

Δs = 2% of s = 2/100 x 1 = 0.02 m

By using the uncertainty of volume formula, we get

|ΔV| = dV/ds x Δs

|ΔV| = d(s³)/ds x Δs

|ΔV| = 3s² x Δs

|ΔV| = 3. 1² x 0.02

|ΔV| = 0.06 m³

Hence, the uncertainty in the volume is 0.06 m³.

Find more on uncertainty at: brainly.com/question/1577893

#SPJ4

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Answer:

|\vec r|=339.82\ m

\theta=-6.67^o

Explanation:

<u>Displacement </u>

It's a vector magnitude that measures the space traveled by a particle between an initial and a final position. The total displacement can be obtained by adding the vectors of each individual displacement. In the case of two displacements:

\vec r=\vec r_1+\vec r_2

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The monkey first makes a displacement given by (0.198 km,0°). The angle is 0 because it goes to the East, the zero-reference for angles. Thus the first displacement is

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|\vec r|=\sqrt{337.52^2+(-39.48)^2}=339.82\ m

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