Answer:
141.13636 kg
Explanation:
= Mass of plane = ![1.17\times 10^3\ kg](https://tex.z-dn.net/?f=1.17%5Ctimes%2010%5E3%5C%20kg)
= Maximum mass that the baggage compartment can hold
= Mass of person = 75 kg
= Distance between pilot and center of gravity
= Distance between baggage and center of gravity
= Distance between center of gravity with pilot and without pilot
As moment of the system is conserved we have the relation
![m_1r_1=m_2r_2+m_3r_3\\\Rightarrow m_2=\dfrac{m_1r_1-m_3r_3}{r_2}\\\Rightarrow m_2=\dfrac{1.17\times 10^3\times (2.76-2.58)-75\times (2.67-2.76)}{4.3-2.76}\\\Rightarrow m_2=141.13636\ kg](https://tex.z-dn.net/?f=m_1r_1%3Dm_2r_2%2Bm_3r_3%5C%5C%5CRightarrow%20m_2%3D%5Cdfrac%7Bm_1r_1-m_3r_3%7D%7Br_2%7D%5C%5C%5CRightarrow%20m_2%3D%5Cdfrac%7B1.17%5Ctimes%2010%5E3%5Ctimes%20%282.76-2.58%29-75%5Ctimes%20%282.67-2.76%29%7D%7B4.3-2.76%7D%5C%5C%5CRightarrow%20m_2%3D141.13636%5C%20kg)
The maximum mass that the baggage compartment can hold is 141.13636 kg
Answer:
The wavelength of radio waves is 2.85 m.
(B) is correct option.
Explanation:
Given that,
Frequency = 105 MHz
We need to calculate the wavelength of radio waves
Using formula of wave velocity
![v = f\times \lambda](https://tex.z-dn.net/?f=v%20%3D%20f%5Ctimes%20%5Clambda)
![\lambda=\dfrac{v}{f}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bv%7D%7Bf%7D)
Where, v = wave speed
f = frequency
= wavelength
Put the value into the formula
![\lambda=\dfrac{3\times10^{8}}{105\times10^{6}}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B3%5Ctimes10%5E%7B8%7D%7D%7B105%5Ctimes10%5E%7B6%7D%7D)
![\lambda=2.85\ m](https://tex.z-dn.net/?f=%5Clambda%3D2.85%5C%20m)
Hence, The wavelength of radio waves is 2.85 m.
All you have to do is add 600 + 1,400 which = 2,000
So your answer is D) 2,000 J
I hope this helps. :)
I had the same test btw
5.5 hours. In order to get this answer you divide 137.5 by 25. Hope this helps :)
the distance is the first 80m+the second 80m she came back. So the distance is 160m. but the displacement is 0, because she came back by the direction she went.