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KatRina [158]
3 years ago
12

Suppose an individual is lying on his stomach with sheets of paper stacked on his back. If each sheet of paper has a mass of 0.0

0350 kg and is the standard letter size of 8.5 in by 11 in ( 0.216 m by 0.279 m ), how many sheets must be stacked to produce a pressure on his back equal to atmospheric pressure (roughly 101325 Pa )
Physics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

N = 177843 sheets

Explanation:

We are given;

Mass;m = 0.0035 kg

Pressure; p = 101325 pa = 101325 N/m²

L = 0.279m

W = 0.216m

The weight of N sheets is N(mg)

Where;

m is the mass of one sheet

N is number of sheets

g is the acceleration due to gravity.

The pressure equals weight divided by the area on which the weight presses:

Thus,

p= F/A = Nmg/(L•W)

Therefore, making N the subject;

N = pLW/(mg)

N = 101325 x 0.279 x 0.216/ (0.0035 x 9.81)

N = 177843

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<h3><u>Answer;</u></h3>

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<h3><u>Explanation</u>;</h3>

According to Hooke's Law for a helical spring or an elastic material, extensional force is directly proportional to the distance the material has extended.

F = ke; where F is the extension force, k is the spring constant, and e is the distance extended.

Thus;

k = F/e

  = 44N/0.69 m

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  <u>= 64 N/m</u>

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3 years ago
What is a measure of the consistency and stability of test scores when readministered at different times?
tino4ka555 [31]

Answer:

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3 years ago
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Answer:k = 10.83 N/m²

Explanation: The angular frequency (ω), spring constant (k) and mass is related by the formulae below

ω = √k/m

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f = number of oscillations /time taken

Number of oscillations = 14, time taken = 11s

f = 14/11 = 1.27Hz.

ω = 2×22/7×1.27

ω = 7.98 rad/s.

By substituting this parameters into ω = √k/m

Where ω = 7.98rad/s, m = 170g = 170/1000 = 0.17kg.

7.98 = √k/0.17

By squaring both sides

(7.98)² = k/ 0.17

k = (7.98)² × 0.17

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you hold a metal block of mass 40 kg above your head at a height of 2 m how much work is done bu gravity if you let the block fa
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Answer:

784 J

Explanation:

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W = Fd

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W = (40 kg) (9.8 m/s²) (2 m)

W = 784 J

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