Complete Question
Use Stefan's law to find the intensity of the cosmic background radiation emitted by the fireball of the Big Bang at a temperature of 2.81 K. Remember that Stefan's Law gives the Power (Watts) and Intensity is Power per unit Area (W/m2).
Answer:
The intensity is
Explanation:
From the question we are told that
The temperature is 
Now According to Stefan's law

Where
is the Stefan Boltzmann constant with value 
Now the intensity of the cosmic background radiation emitted according to the unit from the question is mathematically evaluated as

=> 
=> 
substituting values


Answer:
d = 8.4 cm
Explanation:
In order to calculate the amplitude of oscillation of the top of the building, you use the following formula for the max acceleration of as simple harmonic motion:
(1)
A: amplitude of the oscillation
w: angular speed of the oscillation = 2
f
f: frequency = 0.17Hz
The maximum acceleration of the top of the building is a 2.0% of the free-fall acceleration. Then, you have:

Then, you solve for A in the equation (1) and replace the values of the parameters:

The total distance, side to side, of the oscilation of the top of the building is twice the amplitude A. Then you obtain:
d = 2A = 2(4.2cm) = 8.4cm
Answer:
Ay=v₂t + ½ gt² is the best choice to solve this problem.
The height of the cliff is = 176.4 meters.
Explanation:
Given,
initial velocity = 0m/s as it is dropped vertically
acceleration = g = 9.8 m/s²
time = 6s
Height =?
Using the equation Ay=v₂t + ½ gt², we can calculate Ay, which is the height.
So,
Ay=v₂t + ½ gt²
by substituting v, t, and g, we get:
Ay= 0 × 6 + ½ × 9.8 × 6²
Ay = 0 + 4.9 × 36
Ay = 176.4 m