We are given the equation:
<span>x = 11t^2
</span>
We use that equation to calculate for the distance traveled.
For (a)
At t=2.20 sec,
x =53.24 meters
At t=2.95 sec,
x =95.73 meters
Velocity = (95.73 meters - 53.24<span> meters) / (2.95 s - 2.20 s ) = 56.65 m/s
</span>For (b)
At t=2.20 sec,
x =53.24 meters
At t=2.40 sec,
x =63.36 meters
Velocity = (63.36 meters - 53.24<span> meters) / (2.40 s - 2.20 s ) = 50.6 m/s</span>
Answer:
, 
Explanation:
The magnitude of the electromagnetic force between the electron and the proton in the nucleus is equal to the centripetal force:

where
k is the Coulomb constant
e is the magnitude of the charge of the electron
e is the magnitude of the charge of the proton in the nucleus
r is the distance between the electron and the nucleus
v is the speed of the electron
is the mass of the electron
Solving for v, we find

Inside an atom of hydrogen, the distance between the electron and the nucleus is approximately

while the electron mass is

and the charge is

Substituting into the formula, we find

Answer:
λ = 0.4 x 10⁻⁶ m = 400 nm
Explanation:
The relationship between frequency, wavelength and speed of an electromagnetic wave is given as follows:

where,
c = speed of light = 3 x 10⁸ m/s
f = frequency of the light wave = 7.5 x 10¹⁴ Hz
λ = wavelength of the light = ?
Therefore,

<u>λ = 0.4 x 10⁻⁶ m = 400 nm</u>
After 4 half-lives, there was 1 gram.
1 half-life earlier, after 3 half-lives, there must have been 2 grams.
1 half-life earlier, after 2 half-lives, there must have been 4 grams.
1 half-life earlier, after 1 half-life, there must have been 8 grams.
1 half-life earlier, when it started decaying, there must have been 16 grams. <em>(B) </em>
6.84m
Explanation:
According to this formula
<span>speed of wave=wavelength×frequency</span>
you have
<span>wavelength=<span>speedfrequency</span>=<span><span>342 m<span>s<span>−1</span></span></span><span>50<span>s<span>−1</span></span></span></span>=<span>6.84 m</span></span>