While exploring a castle, Exena the Exterminator is spotted by a dragon who chases her down a hallway. Exena runs into a room an
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Answer:
temperature at 326.44 K system achieve equilibrium
Explanation:
given data
mass of block of ice = 4.6 kg
temperature = 263 K
thermal contact = 15.7-kg
specific heat of silver cAg = 233 J/kg-K
initially temperature = 1052 K
to find out
what temperature will the system achieve equilibrium
solution
first we consider final temperature of the system is T
we know that specific heat of water (C w) = 4186 J(kg K)
and
specific heat of ice ( C i ) = 2030 J/(kg K)
and
latent heat of fusion of ice ( Lf ) = 3.33 × J/kg
and we know that system is insulated
so heat lost by silver = heat generated by ice .................1
so we can say
mass of silver × specific heat of silver × ( initial temp - final temp ) = mass of ice × specific heat of ice × ( ice temp ) + mass of ice × latent heat of fusion of ice + mass of ice × specific heat of water × (final temperature )
put here value we get
mass of silver × specific heat of silver × ( initial temp - final temp ) = mass of ice × specific heat of ice × ( ice temp ) + mass of ice × latent heat of fusion of ice + mass of ice × specific heat of water × (final temperature )
15.7 × 233 × ( 1052 - T ) = 4.6 × 2030 × 10 + 4.6 × 3.33 × + 4.6 × 4286 × ( T - 273 )
solve we get
T = 326.44 K
so temperature at 326.44 K system achieve equilibrium
(a) The distance will be more than 2.0 meters.
In fact, you starts your fall after your friend has already fallen 2.0 meters. This means that your friend has already accelerated for a while, therefore his velocity will be greater than yours. But this statement will be actually true for the entire fall, since you has some delay, therefore when your friend will hit the water, the separation between you and him will be greater than the initial separation of 2.0 meters.
b) First of all we need to calculate the height of the bridge with respect to the water. We know that you take 1.6 s to fall down, therefore we can use the following equation:
We know that your friend will take 1.6 s to falls down. Instead, you start your jump after he has already fallen 2.0 m, therefore after a time given by the equation:
Using S=2.0 m,
So we know that you start your fall 0.64 s after your friend. Therefore, now we can find how much did you fall between the moment you started your fall (0.64 s) and the moment your friend hits the water (1.6 s). Using
we find
So, when your friend hits the water, you just covered 4.52 m, while he already covered 12.56 m. Therefore, the separation between you and your friend is more than 2 meters.