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Physics a level ocr question

Help with this q pleaseee how am I meant to already know the melting point of lead

Reply 1

Original post
by hopeeeeeeee
Help with this q pleaseee how am I meant to already know the melting point of lead

Question 6
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Reply 2

Original post
by hopeeeeeeee
Question 6
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Based on the setup of the question, we do not need the melting point of lead because the question say the specific heat capacity of solid and molten lead are the same.
But what is lacking is the specific latent heat of fusion of lead.

If we attempt the question algebraically, we can see that the melting point of lead is eliminated in the solution.

m is the mass of lead
θ_L is the melting point of lead
θ_f is the final temp
Lf is the specific latent heat of fusion of lead
v is the speed of the bullet
c is the specific heat capacity of solid and molten lead

Thermal energy gains by the solid lead bullet = m × c × (θ_L - 40)

Thermal energy gains to melt the solid lead bullet = m × Lf

Thermal energy gains to raise the temperature of the molten lead = m × c × (θ_f - θ_L)

KE of the bullet = 0.5 × m × v^2

Using conservation of energy

Loss of KE = Gain of thermal energy

Spoiler

Reply 3

Original post
by Eimmanuel
Based on the setup of the question, we do not need the melting point of lead because the question say the specific heat capacity of solid and molten lead are the same.
But what is lacking is the specific latent heat of fusion of lead.
If we attempt the question algebraically, we can see that the melting point of lead is eliminated in the solution.
m is the mass of lead
θ_L is the melting point of lead
θ_f is the final temp
Lf is the specific latent heat of fusion of lead
v is the speed of the bullet
c is the specific heat capacity of solid and molten lead
Thermal energy gains by the solid lead bullet = m × c × (θ_L - 40)
Thermal energy gains to melt the solid lead bullet = m × Lf
Thermal energy gains to raise the temperature of the molten lead = m × c × (θ_f - θ_L)
KE of the bullet = 0.5 × m × v^2
Using conservation of energy
Loss of KE = Gain of thermal energy

Spoiler


But the mark scheme uses things not given in the question. I’d need to use things from the chapter. Would I need to know the melting point of lead and the specific latent of fusion of lead in the exam?

Reply 4

Original post
by hopeeeeeeee
But the mark scheme uses things not given in the question. I’d need to use things from the chapter. Would I need to know the melting point of lead and the specific latent of fusion of lead in the exam?


No.

Reply 5

Original post
by hopeeeeeeee
But the mark scheme uses things not given in the question. ....

I would not consider the solutions provided by the textbook as a mark scheme.
Usually the solutions are suggested OR absolute.

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