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aleksklad [387]
2 years ago
10

A cast iron paperweight is in the shape of a half-sphere with a diameter of 8.2cm. The cast iron has a density of 7.3g/cm^3. Wha

t is the mass of the paperweight, in grams?
a. 16860
b.8430
c.1054
d.2107
Physics
1 answer:
Mnenie [13.5K]2 years ago
8 0

Answer: C

1054 g

Explanation:

Given that the object is in the shape of semi sphere with diameter of 8.2cm. And density of 7.3g/cm^3.

From definition of density,

Density = mass/volume

Volume of a half - sphere = 2/3πr^3

Volume = 2/3 × 3.143 × 4.1^3

Volume = 144.35 cm^3

Let make mass the subject of formula

Mass = Density × volume

Mass = 7.3 × 144.35

Mass = 1053.74g

The mass of the paperweight, in grams is 1054

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For sprinters running at 12 m/s around a curved track of radius 26 m, how much greater (as a percentage) is the average total fo
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Answer:

114.86%

Explanation:

In both cases, there is a vertical force equal to the sprinter's weight:

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When running in a circle, there is an additional centripetal force:

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The net force is found with Pythagorean theorem:

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F² = m² ((v²/r)² + g²)

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Compared to just the vertical force:

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√((12²/26)² + 9.8²) / 9.8

1.1486

The force is about 114.86% greater (round as needed).

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