Answer: D. 
Explanation:
The energy
of an electromagmetic wave is given by:
Where:
is the Planck constant
is the speed of light in vacuum
Then 
is the wavelength
Solving:
The exponential decay function is shown as:
At = Ao*2^(-t/h)
Where:
At = Final amount
Ao = original amount
t = time
h = years for half-life to occur
We are not given the original and final amounts, but we are told that after the certain amount of time had passed, only 5% had remained. So if we were to isolate At and Ao in one side of the equation, such that: At/Ao = 0.05, we can solve for the missing variable, which is t.
Substituting:
<span>At/Ao = 2^(-t/h)
</span>0.05 = <span>2^(-t/20)
t = 86.44 years
Therefore, the pottery was made approximately 86.44 years ago.</span>
Answer:
5 N
Explanation:
The bucket is moving at a constant speed of 2m/s Therefore F=ma is 0 N for this to be correct the magnitude of the force exerted by the rope must be equal to the weight of the bucket which is 5 N
Answer:
The transverse displacement is
Explanation:
From the question we are told that
The generally equation for the mechanical wave is

The speed of the transverse wave is 
The amplitude of the transverse wave is 
The wavelength of the transverse wave is 
At t= 0.150s , x = 1.51 m
The angular frequency of the wave is mathematically represented as

Substituting values


The propagation constant k is mathematically represented as

Substituting values


Substituting values into the equation for mechanical waves
