Which statement best describes why an island's food web could be considered a closed system?
2 answers:
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Question:
If you are 3.00 m from speaker A directly to your right and 3.50 m from speaker B directly to your left. What is the shortest distance d you need to walk forward to be at a point where you cannot hear the speakers?
Answer:
The shortest distance d you need to walk forward to be at a point where you cannot hear the speakers is 5.625 m
Explanation:
Shortest distance is given by
For constructive interference of wave, we have
= 2nλ/2
For destructive interference of wave, we have
= (2n+1)λ/2
That is the difference in the number of wavelength between constructive and destructive interference is λ/2
We note that our positioning is 3.0 m from the first speaker and 3.5 m from the second, Which is of the form 2n and 2n + 1
Therefore when we walk forward away from the two speakers, we cannot hear the speakers at
Δr = λ/2 = r - r
Which is the distance between the points where we have constructive and destructive interference or where there is destructive interference between the waves
Where:
r = Distance from speaker A and
r = Distance from speaker B
λ/2 = (344 m/s /688 Hz)/2
= 1/4
For
λ/2 = r - r
we have
√(3.5² +d²) - √(3²+d²) = 1/4
∴ d = 5.625 m
Answer:
E = 867 N/C, upward.
Explanation:
- Assuming no other forces acting on the particle, it must obey Newton's 2nd Law, as follows:
- There are two forces acting on the particle in the vertical direction, one due to the electric field, and the other due to gravity.
- Since the particle is positively charged, assuming that the electric field aims upward, we can write the following expression for the left side of (1):
- Since we know that q/m = 0.1 C/kg,
- ⇒ q = 0.1m C/kg
- Replacing this value of q in (2), and simplifying masses, we get:
- We can find the value of a, simply applying the definition of acceleration:
- Replacing (4) in (3) and solving for E, we get:
- E = 867.2 N/C, upward.
Answer:
The minimum speed =
Explanation:
The minimum speed that the rocket must have for it to escape into space is called its escape velocity. If the speed is not attained, the gravitational pull of the planet would pull down the rocket back to its surface. Thus the launch would not be successful.
The minimum speed can be determined by;
Escape velocity =
where: G is the universal gravitational constant, M is the mass of the planet X, and R is its radius.
If the appropriate values of the variables are substituted into the expression, the value of the minimum speed required can be determined.