Answer:
A) Object A is 3.25 times hotter.
B) Object A radiates 111.6 times more energy per unit of area.
Explanation:
Wiens's law states that there is an inverse relationship between the wavelength in which there is a peak in the emission of a black body and its temperature, mathematically,
,
where 
is the temperature in kelvins and, 
is the wavelenght (in meters) where the emission is in its peak.
From here, if we solve Wien's law for the temperature we get
.
Now, we can easily compute the temperatures.
For object A:
.
For object B:
From this, we get that
,
which means that object A is 3.25 times hotter.
Stefan's Law states that a black body emits thermal radiation with power proportional to the fourth power of its temperature.
This is
,
where 
is call the Stefan-Boltzmann constant.
From this, power can be easily compute:
,
and we can notice that
,
which means that object A radiates 111.6 time more energy per unit of area.
Answer:
<em>v=14 m/s</em>
Explanation:
<u>Mechanical Energy
</u>
The kinetic energy of a body (K) is the capacity of doing work due to its speed. It can be expressed as
The potential energy (U) is the capacity of doing work due to its height respect to a certain reference level.
The mechanical energy is the sum of both
The principle of conservation of mechanical energy states it must remain the same if no external force is acting on it. The diver drops from the diving board, which means its initial speed is zero (and so its initial kinetic energy). Thus, the mechanical energy at the jumping time is
When the diver is about to get into the water, his height reaches zero and the speed is at maximum. All the potential energy became kinetic energy, so
Rearranging
The final speed of the diver is
I believe your answer is off by a couple of decimal points. The answer is approximately 1.041 N
<span>The correct answer should be a genetic drift. Mutations usually occur over a relatively short period of time and usually start with a single unit that transfers the mutation when they procreate. Genetic drifts separate entire populations and in time create new species that cannot procreate with the original species from whence they came.</span>
Answer:
W = M g weight of ball
T cos θ = W balancing vertical forces
T sin θ = F balancing horizontal forces
tan θ = F / W dividing equations
F = W tan θ when θ equals zero F equals zero
