Answer:
3.34 kJ
Explanation:
FIrst of all, we need to calculate the number of moles corresponding to 10.0g of ice. This is given by
where
is the molar mas
m = 10.0 g is the mass
Substituting
Now we know that the heat of fusion is
so the thermal energy needed to fuse the ice is
To solve this problem it is necessary to apply the concepts related to the conservation of momentum and conservation of kinetic energy.
By definition kinetic energy is defined as
Where,
m = Mass
v = Velocity
On the other hand we have the conservation of the moment, which for this case would be defined as
Here,
m = Total mass (8Kg at this case)
Mass each part
Initial velocity
Final velocity particle 2
Final velocity particle 1
The initial kinetic energy would be given by,
In the end the energy increased 100J, that is,
By conservation of the moment then,
Replacing we have,
(1)
In the final point the cinematic energy of EACH particle would be given by
(2)
So we have a system of 2x2 equations
Replacing (1) in (2) and solving we have to,
200J=\frac{1}{2}4*(V_1^2+(10-V_1)^2)
PART A:
Then replacing in (1) we have that
PART B: