Answer:
its surface temperature = 54.84 ° C
Explanation:
The density of aluminium 
= 2700 kg/m ³
Heat capacity 
= 897 J/Kg.K
radius of the sphere (r) = 0.081029 m
= 25 °C
= 124.978 °C
time (t) = 767.276 s
Using the formula :
where.
Replacing our values ;we have:
T ≅ 54.84 ° C
Therefore, its surface temperature = 54.84 ° C
The angular momentum calculated with respect to the axis of rotation of an object is given by:
where m is the object's mass, v is its tangential speed, and r is its distance from the axis of rotation.
In case of a man on a Ferris wheel, we need to have these quantities in order to calculate his angular momentum. These quantities corresponds to:
- m, the mass of the man
- v, the tangential speed of the wheel at its edge
- r, the radius of the wheel
It is possible to calculate the angular momentum even if we don't know v, the tangential speed. In this case, we need to know at least the angular velocity
(because from this relationship we can find the tangential speed:
) or the period of rotation of the wheel, T (because we can find the angular velocity from it:
).
According to Charles law, we know, at constant pressure, volume is directly proportional to temperature.
So, <span>V/T = constant
</span>
V₁/t₁ = V₂/t₂
V₁t₂ = V₂t₁
Here, we have: V₁ = 9 mL
V₂ = ?
T₂ = 50+272 = 323 K
T₁ = 19+273 = 292 K
Substitute their values into the expression:
9 × 323 = V₂ × 292
V₂ = 2907 / 292
V₂ = 9.95
After rounding-off to unit place value, it would be equal to 10 mL
So, In short Option C would be your correct answer.
Hope this helps!
Carbon-14 dating is the process used.
