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sweet-ann [11.9K]
2 years ago
14

a hot piece of copper is placed in an insulated cup. what is the final temperature of the water and copper?

Physics
1 answer:
slavikrds [6]2 years ago
8 0

Answer:

Option C. 30°C.

Explanation:

The following data were obtained from the question:

Mass of water (Mw) = 0.5 Kg

Specific heat capacity of water (Cw) = 4.18 KJ/Kg°C

Initial temperature of water (Tw1) =

22°C

Change in temperature (ΔT) = T2 – Tw1 = T2 – 22°C

Mass of copper (Mc) = 0.5 Kg

Specific heat capacity of copper (Cc) = 0.386 KJ/kg°C

Initial temperature of copper (Tc1) = 115°C

Change in temperature (ΔT) = T2 – Tc1 = T2 – 115°C

Final temperature (T2) =..?

Note: Both the water and the piece copper will have the same final temperature and the heat will be zero since the water will cool the piece of copper.

Thus, we can determine the final temperature of the water and copper as follow:

Q = MwCwΔT + McCcΔT

0 = 0.5 x 4.18 x (T2 – 22) + 0.5 x 0.386 x (T2 – 115)

0 = 2.09 (T2 – 22) + 0.193 (T2 – 115)

0 = 2.09T2 – 45.98 + 0.193T2 – 22.195

Collect like terms

2.09T2 + 0.193T2 = 45.98 + 22.195

2.283T2 = 68.175

Divide both side by the coefficient of T2 i.e 2.283

T2 = 68.175/2.283

T2 = 29.8 ≈ 30°C

Therefore, the final temperature of water and copper is 30°C.

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Explanation:

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An example in this regard is Sun.

The linear size of Sun, (the diameter) is 1.3927 million km. Which is very large. However as it is very far from earth, 147.44 million km, the angular size is very small.

it is given as

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Now the same angular size can be of a tennis ball having a diameter of 10 cm , placed at around 10.6 m away.

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3 0
3 years ago
An emu moving with constant acceleration covers the distance between two points that are 92 m
nasty-shy [4]

Answer:

a) V_{o}=14.30 m/s

b) a=-0.046 m/s^{2}

Explanation:

The complete question is written below:

An emu moving with constant acceleration covers the distance between two points that are 92 m  apart in 6.5s. Its speed as it passes the second point is 14 m/s. What are (a) its speed at the first point and (b) its acceleration?

Since we are talking about constant acceleration, we can use the following equations:

d=x-x_{o}=(\frac{V_{o}-V}{2})t (1)

V=V_{o}+at (2)

Where:

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V_{o} is the velocity of the emu at the first point

V=14 m/s is the velocity of the emu at the second point

t=6.5 s is the time it takes to the emu to cover the distance d

a is the emu's constant acceleration

Knowing this, let's begin with the answers:

<h2>a) Speed at the first point</h2>

In this situation wi will use equation (1):

d=(\frac{V_{o}-V}{2})t (1)

Finding V_{o}:

V_{o}=\frac{2d}{t}-V (3)

V_{o}=\frac{2(92 m)}{6.5 s}-14 m/s (4)

V_{o}=14.30 m/s (5)

<h2>b) Emu's acceleration</h2>

Now we will substitute (5) in equation (2):

14 m/s=14.30 m/s+a(6.5 s) (6)

Finding a:

a=-0.046 m/s^{2} (7) This means the emu is decreasing its speed at a constant rate.

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