Option C: Later in the day, less power is developed in lifting each box
Answer:
<h2>a) Time elapsed before the bullet hits the ground is 0.553 seconds.</h2><h2>b)
The bullet travels horizontally 110.6 m</h2>
Explanation:
a) Consider the vertical motion of bullet
We have equation of motion s = ut + 0.5 at²
Initial velocity, u = 0 m/s
Acceleration, a = 9.81 m/s²
Displacement, s = 1.5 m
Substituting
s = ut + 0.5 at²
1.5 = 0 x t + 0.5 x 9.81 xt²
t = 0.553 s
Time elapsed before the bullet hits the ground is 0.553 seconds.
b) Consider the horizontal motion of bullet
We have equation of motion s = ut + 0.5 at²
Initial velocity, u = 200 m/s
Acceleration, a = 0 m/s²
Time, t = 0.553 s
Substituting
s = ut + 0.5 at²
s = 200 x 0.553 + 0.5 x 0 x 0.553²
s = 110.6 m
The bullet travels horizontally 110.6 m
Answer : The wavelength of photon is, ![4.63\times 10^{2}nm](https://tex.z-dn.net/?f=4.63%5Ctimes%2010%5E%7B2%7Dnm)
Explanation : Given,
Energy of photon = ![4.29\times 10^{-19}J](https://tex.z-dn.net/?f=4.29%5Ctimes%2010%5E%7B-19%7DJ)
Formula used :
![E=h\times \nu](https://tex.z-dn.net/?f=E%3Dh%5Ctimes%20%5Cnu)
As, ![\nu=\frac{c}{\lambda}](https://tex.z-dn.net/?f=%5Cnu%3D%5Cfrac%7Bc%7D%7B%5Clambda%7D)
So, ![E=h\times \frac{c}{\lambda}](https://tex.z-dn.net/?f=E%3Dh%5Ctimes%20%5Cfrac%7Bc%7D%7B%5Clambda%7D)
where,
= frequency of photon
h = Planck's constant = ![6.626\times 10^{-34}Js](https://tex.z-dn.net/?f=6.626%5Ctimes%2010%5E%7B-34%7DJs)
= wavelength of photon = ?
c = speed of light = ![3\times 10^8m/s](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E8m%2Fs)
Now put all the given values in the above formula, we get:
![4.29\times 10^{-19}J=(6.626\times 10^{-34}Js)\times \frac{(3\times 10^{8}m/s)}{\lambda}](https://tex.z-dn.net/?f=4.29%5Ctimes%2010%5E%7B-19%7DJ%3D%286.626%5Ctimes%2010%5E%7B-34%7DJs%29%5Ctimes%20%5Cfrac%7B%283%5Ctimes%2010%5E%7B8%7Dm%2Fs%29%7D%7B%5Clambda%7D)
![\lambda=4.63\times 10^{-7}m=4.63\times 10^{-7}\times 10^9nm=4.63\times 10^{2}nm](https://tex.z-dn.net/?f=%5Clambda%3D4.63%5Ctimes%2010%5E%7B-7%7Dm%3D4.63%5Ctimes%2010%5E%7B-7%7D%5Ctimes%2010%5E9nm%3D4.63%5Ctimes%2010%5E%7B2%7Dnm)
Conversion used : ![1nm=10^{-9}m](https://tex.z-dn.net/?f=1nm%3D10%5E%7B-9%7Dm)
Therefore, the wavelength of photon is, ![4.63\times 10^{2}nm](https://tex.z-dn.net/?f=4.63%5Ctimes%2010%5E%7B2%7Dnm)
Newton's Second law of motion:
Force = (mass) x (acceleration)
Force = (15kg) x (8m/s²) = 120 kg-m/s² = 120 newtons
Answer:
sound is how an animal or human perceives a sound wave