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DanielleElmas [232]
4 years ago
9

At 17°C, a rod is exactly 20.09 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 306°C, where the r

od now measures 20.18 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made? (in degrees C^-1)
Physics
1 answer:
galben [10]4 years ago
7 0

Answer:

\alpha =15.5\times 10^{-6}\ C^{-1}

Explanation:

Given that

At 17°C  ,Lo= 20.09 cm

At 306°C ,L= 20.18 cm

ΔL= 200.18 - 20.09 = 0.09 cm

ΔT = 306 - 17 = 289°C

We know that

ΔL = L α ΔT

α =coefficient of linear expansion

ΔL = Lo x α x  ΔT

0.09 = 20.09 x α x 289

\alpha =15.5\times 10^{-6}\ C^{-1}

Coefficient of linear expansion,\alpha =15.5\times 10^{-6}\ C^{-1}

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3 years ago
In a shuffleboard game, the puck slides a total of 12 m on a horizontal surface before coming to rest. if the coefficient of kin
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3 0
3 years ago
A mass of 4kg suspended by a light string 2m long and at rest is projected horizontally with a velocity of 1.5 m/s. find the ang
Dafna11 [192]

Answer:

19.5°

Explanation:

The energy of the mass must be conserved. The energy is given by:

1) E=\frac{1}{2}mv^2+mgh

where m is the mass, v is the velocity and h is the hight of the mass.

Let the height at the lowest point of the be h=0, the energy of the mass will be:

2) E=\frac{1}{2}mv^2

The energy when the mass comes to a stop will be:

3) E=mgh

Setting equations 2 and 3 equal and solving for height h will give:

4) h=\frac{v^2}{2g}

The angle ∅ of the string with the vertical with the mass at the highest point will be given by:

5) cos\phi=\frac{l-h}{l}

where l is the lenght of the string.

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8 0
4 years ago
Calculate the entropy change that occurs when 1.0kg of water at 20.00 C is mixed with 2.0kg of water at 80.00 C
SOVA2 [1]

Answer:

The change in entropy ΔS = 0.0011 kJ/(kg·K)

Explanation:

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The mass of water at 20.0°C = 1.0 kg

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The heat content per kg of each of the mass of water is given as follows;

The heat content of the mass of water at 20.0°C = h₁ = 83.92 KJ/kg

The heat content of the mass of water at 80.0°C = h₂ = 334.949 KJ/kg

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The change in entropy ΔS = ΔH/T = (753.818 - 753.462)/(60 + 273.15) = 0.0011 kJ/(kg·K).

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