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RSB [31]
3 years ago
9

the linear expansivity of the material of a cube is 1.2×10^-6 k^-1. if the length of each side of the cube is 10cm. find the are

a of one face of the cube and the volume of the cube when it's temperature is raised by 30k. ​

Physics
1 answer:
mars1129 [50]3 years ago
7 0
100.0072 cm^2 , 6000.108 cm^3

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A light platform is suspended from the ceiling by a spring. A student with a mass of 90 kg climbs onto the platform. When it sto
Ilya [14]
Refer to the diagram shown.

When the student climbs onto the platform, the spring stretches by 0.82 m to reach the equilibrium position.
The mass of the student is m = 90 kg, so his weight is
mg = (90 kg)*(9.8 m/s²) = 882 N

By definition, the spring constant is
k = (882 N)/(0.82 m) = 1075.6 N/m

When the spring is stretched by x from the equilibrium position, the restoring force is
F = - k*x.

If damping is ignored, the equation of motion is
F = m * acceleration
or
m \frac{d^{2}x}{dt^{2}} = -kx \\ \frac{d^{2}x}{dt^{2}} + \frac{k}{m} x = 0

Define ω² = k/m = 11.751 => ω = 3.457.
Then the solution of the ODE is
x(t) = c₁ cos(ωt) + c₂ sin(ωt)

x'(t) = -c₁ω sin(ωwt) + c₂ω cos(ωt)
When t=0, x' =0, therefore c₂ = 0

The solution is of the form
x(t) = c₁ cos(ωt)
When t = 0, x = 0.32 m. Therefore c₁ = 0.32

The motion is
x(t) = 0.32 cos(3.457t)
The single amplitude is 0.32 m, and the double amplitude is 0.64 m.

Answer: 
0.32 m (single amplitude), or
0.64 m (double amplitude)

6 0
3 years ago
The Demon Drop ride at the amusement park falls freely for 1.8 s after
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Answer:

Explanation:

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d o  = 0

v o =  0

t = 1.8s

<h3>unkown:</h3>

d = ?

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8 0
2 years ago
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If a ball is tossed straight up into the air, at what position is its potential energy the greatest? Question 2 options: a) when
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Q1: At the highest point
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Draw a distance over time graph of a dog that is tied to a 4 foot rope and travels in 1 complete circle
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I think this is the answer. I hope you can understand.

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3 years ago
Bats have poor vision and use echo-location to find their way.The frequency produced by bats is 100kHz. If the speed of the soun
irga5000 [103]

The distance covered is 25.9 m.

<h3>How deep is the cave?</h3>

We know that the speed of sound refers to the speed with which an sound moves in an object.

Given that;

speed of sound = 345m/s

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We know that;

v = 2d/t

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Learn more about speed of sound:brainly.com/question/15137350

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