Hello There
Answer: <span>homogeneous mixture (A)
Reason: A</span><span> homogeneous mixture seems to only have one substance, when it actually contains more. An example of one is water. It seems to only have one substance, but it contains minerals and </span><span>gases, but these are dissolved in the water.
I hope this helps
-Chris</span>
<span>First of all, the maximum speed occurs when the object passes through the
equilibrium position
The kinetic energy when the object has this max speed is
K= 1/2 * mass * (1.25 m/s)^2
The potential energy in the spring when the speed is equal to zero
U= 1/2 * k * xmax^2
The maximun force of the spring is
mass*acceleration = k*xmax
m * 6.89 m/s2 = k * xmax
xmax = 6.89* m / k
0.5 * m * 1.56 = 0.5 * k * xmax^2
</span>m * 1.56 = k * (<span>6.89* m / k )^2 </span>
<span>
1.56 m = 47.47 m^2 / k
m/k = 0.032862
period = 2 *pi*sqrt[m/k]
= 2 pi </span><span>sqrt [ </span><span>0.032862]
= 1.139 s
A fourth of the period elapses between the instants of max acceleration and maximum speed
= 1/4* period
= 1/4 * </span><span><span>1.139 s </span>
= 0.284s </span>
Answer:
Explanation:
distance between ship A and B = 32 mile
Ship A velocity in south, dx/dt = -16 mph
Ship B is sailing toward east with speed, dy/st = 12 mph
time = 1 hour
rate of change of distance between them = ?
x be the distance travel after t time
X = 32 + x
Let distance between them be z
now, using Pythagoras theorem to calculate distance between ships after 1 hours
z² = x² + y²
z² = (32 + x)² + 12²
z² = (32 - 16)² + 12²
z = √400
z = 20 miles
now, calculation of rate of change of distnace
z² = (32 + x)² + y²
differentiating both side w.r.t. time
hence, the rate is the distance between them changing at the end of 1 hour is equal to
The frequency is and it is blue light
Explanation:
The relationship between the speed, the frequency and the wavelength of an electromagnetic wave is given by:
where
is the speed of light
f is the frequency of the wave
is its wavelength
In this problem, the wavelength of the wave is
Therefore, its frequency is:
The wavelength of this wave is
And by looking at the table of the wavelengths of the colors, we notice that this corresponds to the blue light, which has a range of wavelength of
[450 - 495] nm
Learn more about waves and electromagnetic waves here:
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