Answer:
The temperature after half an hour is 
Solution:
As per the question;
Metabolic rate of the person is 3.0105 J/h
Temperature, T = 
Mass of the water, 
Time duration, t = 0.5 h = 30 min = 180 s
Now,
Heat, 
Thus heat transfer in half an hour:

Now, the temperature of water after half an hour, T' is given by:

where
s = 4186 J


Answer:
i think its 1-10 ´ 10-15 m
Explanation:
The density of the nugget is
and is made of gold
Explanation:
The density of an object can be calculated as

where
d is the density
m is the mass
V is the volume of the object
We have to note that density of an object actually depends on the material the object is made of (therefore, two objects made of the same material can have different mass and different volume, but they have same density).
For the nugget in this problem, we have:
mass: m = 38 g
volume: 
So, its density is

And by looking at the table, we see that this value corresponds approximately to the density of gold, so the nugget is made of gold.
Learn more about density:
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Answer:
The maximum electrical force is
.
Explanation:
Given that,
Speed of cyclotron = 1200 km/s
Initially the two protons are having kinetic energy given by

When they come to the closest distance the total kinetic energy is converts into potential energy given by
Using conservation of energy


Put the value into the formula


We need to calculate the maximum electrical force
Using formula of force



Hence, The maximum electrical force is
.