Mathematically speaking, the energy of a wave is directionally proportional to the square of the amplitude of the wave Calculate
2 answers:
The energy of the wave is D) 16.0 units squared
Explanation:
The energy of a wave is directly proportional to the square of the amplitude of the wave.
Mathematically, this can be written as
where
E is the energy of the wave
A is its amplitude
For the wave in this problem, the amplitude is
A = 4 units
Therefore, assuming that the constant of proportionality is 1, the energy of this wave is
units squared
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Answer:
v = 45.37 m/s
Explanation:
Given,
angle of inclination = 8.0°
Vertical height, H = 105 m
Initial K.E. = 0 J
Initial P.E. = m g H
Final PE = 0 J
Final KE =
Using Conservation of energy
v = 45.37 m/s
Hence, speed of the skier at the bottom is equal to v = 45.37 m/s
Answer:
they meet from the girl's original position at: 2.37 (meters)
Explanation:
We need to use the Newton's law, exactly the second law that relate force, mass and acceleration as: with this we can get both accelerations; solving for acceleration
. Now
and
. Then knowing that they both travel at the same time and assuming that the distance among the girl and the sled is: 15.0-x, so,
and
, solving for the time we get:
and
with this equations we solving for the x that is the distance between the girl and the sled after the apply the force and we get:
. Finally we get:
and replacing the values we have got:
so
so x=2.37 (meters).