PHYSICS HIGH SCHOOL

An unknown substance has a mass of 0.125 kg and an initial temperature of 90.5°C. The substance is then dropped into a calorimeter made of aluminum containing 0.285 kg of water initially at 29.5°C. The mass of the aluminum container is 0.150 kg, and the temperature of the calorimeter increases to a final equilibrium temperature of 32.0°C. Assuming no thermal energy is transferred to the environment, calculate the specific heat of the unknown substance.

Answers

Answer 1

Answer:

Answer:

The specific heat capacity of the substance = 455.38 J/kgK

Explanation:

Heat lost by the substance = Heat gained by water + heat gained by the aluminum calorimeter

Qs = Qw + Qc.................... equation 1

Where Qs = heat lost by the substance, Qw = heat gain by water, Qc = heat gain by the aluminum calorimeter.

Qs = c₁m₁(T₁-T₃)................ equation 2

Qw = c₂m₂(T₃-T₂)............. equation 3

Qc = c₃m₃(T₃-T₂)............. equation 4

Where c₁ = specific heat capacity of the substance, m₁ = mass of the substance, c₂ = specific heat capacity of water, m₂ = mass of water, c₃ = specific heat capacity of aluminium, m₃ = mass of the aluminum container, T₁ = Initial Temperature of the substance, T₂ = initial temperature of water, T₃ = Final equilibrium temperature.

Substituting equation 2, 3, 4 into equation 1

c₁m₁(T₁-T₃) = c₂m₂(T₃-T₂) + c₃m₃(T₃-T₂)................. equation 5

Making c₁ the subject of equation 5

c₁ = {c₂m₂(T₃-T₂) + c₃m₃(T₃-T₂)}/m₁(T₁-T₃)............... equation 6

Where c₂ = 4200 J/kgK, m₂ = 0.285 kg, m₁ = 0.125 kg, c₃ = 900 J/kgK, m₃= 0.150 kg, T₁ = 90.5°C, T₂ = 29.5°C, T₃ = 32.0°C

Substituting these values into Equation 6,

c₁ = {4200×0.285(32-29.5) + 900×0.150(32-29.5)}/0.125(90.5-32)

c₁ = {1197(2.5) + 135(2.5)}/7.3125

c₁ = {2992.5 + 337.5}/7.3125

c₁ = 3330/7.3125

c₁ = 455.38 J/kgK.

Therefore the specific heat capacity of the substance = 455.38 J/kgK

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If the frequencies of two component waves are 24 Hz and 20 Hz, they should produce _______ beats per second. A. 2
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Answers

This can be answered using the beat frequency formula, which is simply the difference between 2 frequencies.

Let: fᵇ = beat frequency
f₁ = first frequency
f₂ = second frequency

fᵇ = |f₁ - f₂|

substituting the values:
fᵇ = |24Hz - 20Hz|
fᵇ = 4Hz

The unit Hz also means beats per second, therefore:
fᵇ = 4 beats per second

Therefore, the answer is C. 4

C. 4 beats per second is correct

A puck moves 2.35 m/s in a -22° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction. What was the direction of the acceleration?

Answers

The puck starts with velocity vector

$\vec v_0=\left(2.35(\rm m)/(\rm s)\right)(\cos(-22^\circ)\,\vec\imath+\sin(-22^\circ)\,\vec\jmath)=(2.18\,\vec\imath-0.880\,\vec\jmath)(\rm m)/(\rm s)$

Its velocity at time $t$ is

$\vec v=\vec v_0+\vec at$

Over the 0.215 s interval, the velocity changes to

$\vec v=\left(6.42(\rm m)/(\rm s)\right)(\cos50.0^\circ\,\vec\imath+\sin50.0^\circ\,\vec\jmath)=(4.13\,\vec\imath+4.92\,\vec\jmath)(\rm m)/(\rm s)$

Then the acceleration must have been

$\vec v=\vec v_0+(0.215\,\mathrm s)\vec a\implies\vec a=(\vec v-\vec v_0)/(0.215\,\rm s)=(9.06\,\vec\imath+27.0\,\vec\jmath)(\rm m)/(\mathrm s^2)$

which has a direction of about $71.4^\circ$ .

Final answer:

The direction of the acceleration is determined by the direction of the change in velocity. This would be calculated by subtracting the initial velocity vector from the final velocity vector. However, the calculation would involve complex trigonometric functions.

Explanation:

In order to find the direction of the acceleration, we need to calculate the direction of the change in velocity and that direction will be the direction of the acceleration.

To calculate the change in velocity, we subtract the initial velocity from the final velocity: (6.42 m/s, 50.0°) - (2.35 m/s, -22°). We then calculate the angle of this vector which represents the change in velocity, and hence the direction of acceleration.

However, this calculation is not straightforward because it involves vector operations and would require the use of trigonometric functions to solve. This is due to the fact that velocity is a vector, meaning it has both a magnitude and a direction. Consequently, this becomes a multi-step process involving trigonometry and physics.

Learn more about Direction of Acceleration here:

brainly.com/question/33720661

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Answers

Answer:

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Explanation:

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A new object would be a comet if it has the same composition and parts.

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Answers

Those two units can be compared to a 'mile per hour' and a 'mile per hour - hour'.
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-- 'Watt' is a rate of using energy . . . 1 joule per second.
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-- 'Kilowatt' is a bigger rate of using energy . . . 1,000 joules per second.

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-- 'Kilowatt - hour' is the amount of energy used in one hour,
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Depending on where you live, 3,600,000 joules of energy bought
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Kilowatt is a measure of POWER

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Answers

Answer;
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Answers

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