Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The tension is
b
The time taken is
c
The position for maximum velocity is
S = 0
d
The maximum velocity is
Explanation:
The free body for this question is shown on the second uploaded image
From the question we are told that
The mass of the bob is
The angle is
The length of the string is
The tension on the string is mathematically represented as
substituting values
The motion of the bob is mathematically represented as
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Where is the angular speed
and is the phase change
At initial position S = 0
So
Generally can be mathematically represented as
Where T is the period of oscillation which i mathematically represented as
So
substituting values
Looking at the equation
We see that maximum velocity of the bob will be at S = 0
i. e
The maximum velocity is mathematically represented as
Where A is the amplitude which is mathematically represented as
So
Recall
substituting values
Answer:
The remaining percentage of drug concentration is about 88.7% 2 years after manufacture.
Explanation:
Recall the formula for the decay of a substance at an initial concentration at manufacture:
where k is the decay rate (in our case 0.06/year), and t is the elapsed time in years. Therefore, after 2 years since manufacture we have:
This in percent form is 88.7 %. That is, the remaining percentage of drug concentration is about 88.7% 2 years after manufacture.
Answer:
6 meters away
Explanation:
6*1.4= 8.4 which is pretty close
Answer:
The value is
Explanation:
From the question we are told that
The distance of separation is
The current on the one wire is
The current on the second wire is
Generally the magnitude of the field exerted between the current carrying wire is
Here is the magnetic field due to the first wire which is mathematically represented as
Here is the distance to the half way point of the separation and the value is
is the magnetic field due to the first wire which is mathematically represented as
Here is the distance to the half way point of the separation and the value is
This means that
So
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