First, let's calculate it's value: P(r) = (E² * r) / (r + r )² = E² / (4r) Now to check whether this is a maximum, we can compare it with other values of the function, in points between R = r and the other zeroes of P'(R), which here is R = -r. If P reaches a maximum in R=r, that would mean that (1) we can evaluate P in any point R>r and its value should be less than P(r), you can do this for, e.g. R=2r, which yields P(2r) = (2E²)/(9r), which is obviously smaller than P(r).
Also it means that (2) we can evaluate P in any point R so that -r < R < r, and this value should be smaller than P(r). For example, if we take R to be 0, P(R)=0, which is also smaller than P(r). Thus we have proven that P reaches a maximum in r, with corresponding value E² /(4r).
Answer:
different temperatures
Explanation:
The independent variable would be <u>different temperatures</u>.
<u>The independent variable is the variable that is manipulated or varied in an experiment in order to see the effects it will produce on another variable</u> - the dependent variable. The values of the independent variable are directly inputted by the researcher and are not changed by any other variable throughout the experiment.
In the illustration, the effect of a variation in temperature is determined by counting the number of yeast cells. This showed that the manipulated variable is the temperature and hence, the independent variable.
Answer:
a.
b.
Explanation:
The inertia can be find using
a.
now to find the torsion constant can use knowing the period of the balance
b.
T=0.5 s
Solve to K'
Answer:
Explanation:
Since momentum is a vector, you, indeed, in <em>two dimension</em> collisions, you can decompose it in two components, the x-direction and the y-direction, such as you do with the force, which is a vector too.
The law of conservation of <em>momentum</em> states that the total momentum before and after the collision are conserved.
Let's assume a collision in one dimension: x-direction.
If object A is moving to the right, its momentum is to the right. If objcet B is at rest its momentum is zero. Then, if when object A collides with object B, the first stops, the second must move to the right with a momentum in the x-direction equal to the momentum that object A initially had.
You can apply the same reasoning if object A is moving in two dimensions, and, a similar one, if object B is not at rest: at the end the momentum in each direction before the collision has to be equal to the momentum in each direction after the collision.
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