Answer:
a = 2.72 [m/s2]
Explanation:
To solve this problem we must use the following kinematics equation:
![v_{f} =v_{o} + a*t](https://tex.z-dn.net/?f=v_%7Bf%7D%20%3Dv_%7Bo%7D%20%2B%20a%2At)
where:
Vf = final velocity = 1200 [km/h]
Vo = initial velocity = 25 [km/h]
t = time = 2 [min] = 2/60 = 0.0333 [h]
1200 = 25 + (a*0.0333)
a = 35250.35 [km/h2]
if we convert these units to units of meters per second squared
![35250.35[\frac{km}{h^{2} }]*(\frac{1}{3600^{2} })*[\frac{h^{2} }{s^{2} } ]*(\frac{1000}{1} )*[\frac{m}{km} ] = 2.72 [\frac{m}{s^{2} } ]](https://tex.z-dn.net/?f=35250.35%5B%5Cfrac%7Bkm%7D%7Bh%5E%7B2%7D%20%7D%5D%2A%28%5Cfrac%7B1%7D%7B3600%5E%7B2%7D%20%7D%29%2A%5B%5Cfrac%7Bh%5E%7B2%7D%20%7D%7Bs%5E%7B2%7D%20%7D%20%5D%2A%28%5Cfrac%7B1000%7D%7B1%7D%20%29%2A%5B%5Cfrac%7Bm%7D%7Bkm%7D%20%5D%20%3D%202.72%20%5B%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D%20%5D)
Answer: 500 s
Explanation:
Speed
is defined as a relation between the distance
and time
:
![v=\frac{d}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bd%7D%7Bt%7D)
Where:
is the speed of light in vacuum
is the distance between the Earth and Sun
is the time it takes to the light to travel the distance
Isolating
:
![t=\frac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D)
![t=\frac{1.5(10)^{11}m}{3(10)^{8}m/s}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B1.5%2810%29%5E%7B11%7Dm%7D%7B3%2810%29%5E%7B8%7Dm%2Fs%7D)
Finally:
![t=500 s](https://tex.z-dn.net/?f=t%3D500%20s)
Answer:
![Energy, \; E = 2.6504 * 10^{-34} \; Joules](https://tex.z-dn.net/?f=%20Energy%2C%20%5C%3B%20E%20%3D%202.6504%20%2A%2010%5E%7B-34%7D%20%5C%3B%20Joules%20)
Explanation:
Given the following data;
Frequency = 4.0 x 10⁹ Hz
Planck's constant, h = 6.626 x 10-34 J·s.
To find the energy of the electromagnetic wave;
Mathematically, the energy of an electromagnetic wave is given by the formula;
E = hf
Where;
E is the energy possessed by a wave.
h represents Planck's constant.
f is the frequency of a wave.
Substituting the values into the formula, we have;
![Energy, \; E = 4.0 x 10^{9} * 6.626 x 10^{-34}](https://tex.z-dn.net/?f=%20Energy%2C%20%5C%3B%20E%20%3D%204.0%20x%2010%5E%7B9%7D%20%2A%206.626%20x%2010%5E%7B-34%7D%20)
![Energy, \; E = 2.6504 * 10^{-34} \; Joules](https://tex.z-dn.net/?f=%20Energy%2C%20%5C%3B%20E%20%3D%202.6504%20%2A%2010%5E%7B-34%7D%20%5C%3B%20Joules%20)
Big band is music group (a group of people who perform instrumental and/or vocal music ) playing jazz or jazz-influenced popular music and which was popular during the Swing Era from the mid-1930s until the late 1940s. These big bands contained saxophones, trumpets, trombone and other instruments and typically consisted of approximately 12 to 25 musicians.