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3 years ago

How much heat is given off by 1,000 kg of lead when it solidifies at its melting point?(see the table)

1 answer:

7 0

At the melting point the heat given off is the latent heat of fusion. This occurs with at the melting point. It is not associated with temperature change.

All melting and solidification or freezing occur at the melting point temperature.

Q = mL (This formula is associated with fusion or vaporization process)

Where Q = Heat associated with the melting process
m = mass in kg,
L = Latent heat of fusion in J/kg

For lead so we select the latent heat of fusion for lead. Mass = 1000 kg

Q = 1000 kg * 2.04 x 10^4 J/kg

Q = 2.04 * 10^7 J

Option D.
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2 years ago

(20) A rocket is launched vertically. At time t = 0 seconds, the rocket’s engine shuts down. At the time, the rocket has reached

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Answer:

Explanation:

Given that,

h(t) = -9.8t² / 2 + 125t + 500

for t > 0.

At t = 0, the rocket is at height h = 500m, at a velocity of Vo = 125m/s.

We want to find the maximum height reached by rocket

Using mathematics maxima and minima

let find the turning point when dh/dt = 0

dh/dt = -9.8t + 125

dh / dt = 0 = -9.8t + 125

9.8t = 125

t = 125 / 9.8

t = 12.76s

Let find the turning point to know if this time t = 12.76 is maximum or minimum point

Let find d²h / dt²

d²h / dt² = -9.8

Since, d²h/dt² < 0, then, at t = 12.76s is the maximum points.

Then, the maximum height reached is

h = -9.8t² / 2 + 125t + 500

h = -9.8(12.76)² / 2 + 125(12.76) + 500

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h = 1297.2 m

The maximum height reached is 1297.2 m

From the attachment, the maximum height is 1297.2m at t = 12.76sec.

Comment, the result are the same for both the analysis aspect and the graphical aspect.

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3 years ago