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icang [17]
3 years ago
6

If a sphere with radius r is inscribed in a cube with edges of length e, which of the following expresses the relationship betwe

en r and e ?
A. r=12er=12e
B. r = e
C. r = 2e
D. r=eâr=e
E. r=14e2
Physics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

r= \frac{1}{2}e

Explanation:

when a sphere is inscribed in a cube , a side of the cube equals the diameter of the sphere, hence;

d = e

but d = 2r

2r =e

r= \frac{1}{2}e

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Answer:

<em> The distance required = 16.97 cm</em>

Explanation:

Hook's Law

From Hook's law, the potential energy stored in a stretched spring

E = 1/2ke² ......................... Equation 1

making e the subject of the equation,

e = √(2E/k)........................ Equation 2

Where E = potential Energy of the stretched spring, k = elastic constant of the spring, e = extension.

Given: k = 450 N/m, e = 12 cm = 0.12 m.

E = 1/2(450)(0.12)²

E = 225(0.12)²

E = 3.24 J.

When the potential energy is doubled,

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E = 6.48 J.

Substituting into equation 2,

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<em>e = 16.97 cm</em>

<em>Thus the distance required = 16.97 cm</em>

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Answer:

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Explanation:

Given;

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