Ok, let me see if I can help
Sound is caused by vibrations. These can pass through a solid, liquid, and gas. But not through vacuum because there are no particles
The total momentum of the system is equal to 50 Kgm/s.
<u>Given the following data:</u>
To determine the total momentum of the system:
Mathematically, momentum is given by the formula;
![Momentum = mass \times velocity](https://tex.z-dn.net/?f=Momentum%20%3D%20mass%20%5Ctimes%20velocity)
<u>For Football player 1:</u>
![Momentum = 80 \times 2](https://tex.z-dn.net/?f=Momentum%20%3D%2080%20%5Ctimes%202)
Momentum 1 = 160 Kgm/s.
<u>For Football player 2:</u>
![Momentum = 70 \times 3](https://tex.z-dn.net/?f=Momentum%20%3D%2070%20%5Ctimes%203)
Momentum 1 = 210 Kgm/s.
Now, we can calculate the total momentum of the system:
![Total\;momentum = momentum \;2 - momentum \;1\\\\Total\;momentum = 210-160](https://tex.z-dn.net/?f=Total%5C%3Bmomentum%20%3D%20momentum%20%5C%3B2%20-%20momentum%20%5C%3B1%5C%5C%5C%5CTotal%5C%3Bmomentum%20%3D%20210-160)
Total momentum = 50 Kgm/s.
<u>Note:</u> We subtracted because the football players were moving in opposite directions.
Read more: brainly.com/question/15517471
Answer:
The magnitude of the acceleration is ![a_r = 1.50 \ m/s^2](https://tex.z-dn.net/?f=a_r%20%3D%201.50%20%5C%20m%2Fs%5E2)
The direction is
north of east
Explanation:
From the question we are told that
The force exerted by the wind is ![F_{sail} = (330 ) \ N \ north](https://tex.z-dn.net/?f=F_%7Bsail%7D%20%3D%20%20%28330%20%29%20%5C%20N%20%5C%20north)
The force exerted by water is ![F_{keel} = (210 ) \ N \ east](https://tex.z-dn.net/?f=F_%7Bkeel%7D%20%3D%20%20%28210%20%20%29%20%5C%20N%20%5C%20east)
The mass of the boat(+ crew) is
Now Force is mathematically represented as
![F = ma](https://tex.z-dn.net/?f=F%20%3D%20%20ma)
Now the acceleration towards the north is mathematically represented as
![a_n = \frac{F_{sail}}{m_b}](https://tex.z-dn.net/?f=a_n%20%20%3D%20%20%5Cfrac%7BF_%7Bsail%7D%7D%7Bm_b%7D)
substituting values
![a_n = \frac{330 }{260}](https://tex.z-dn.net/?f=a_n%20%20%3D%20%20%5Cfrac%7B330%20%7D%7B260%7D)
![a_n = 1.269 \ m/s^2](https://tex.z-dn.net/?f=a_n%20%20%3D%20%201.269%20%5C%20m%2Fs%5E2)
Now the acceleration towards the east is mathematically represented as
![a_e = \frac{F_{keel}}{m_b }](https://tex.z-dn.net/?f=a_e%20%3D%20%5Cfrac%7BF_%7Bkeel%7D%7D%7Bm_b%20%7D)
substituting values
![a_e = \frac{210}{260}](https://tex.z-dn.net/?f=a_e%20%3D%20%5Cfrac%7B210%7D%7B260%7D)
![a_e =0.808 \ m/s^2](https://tex.z-dn.net/?f=a_e%20%3D0.808%20%5C%20m%2Fs%5E2)
The resultant acceleration is
![a_r = \sqrt{a_e^2 + a_n^2}](https://tex.z-dn.net/?f=a_r%20%3D%20%20%5Csqrt%7Ba_e%5E2%20%2B%20a_n%5E2%7D)
substituting values
![a_r = \sqrt{(0.808)^2 + (1.269)^2}](https://tex.z-dn.net/?f=a_r%20%3D%20%20%5Csqrt%7B%280.808%29%5E2%20%2B%20%281.269%29%5E2%7D)
![a_r = 1.50 \ m/s^2](https://tex.z-dn.net/?f=a_r%20%3D%201.50%20%5C%20m%2Fs%5E2)
The direction with reference from the north is evaluated as
Apply SOHCAHTOA
![tan \theta = \frac{a_e}{a_n}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%20%5Cfrac%7Ba_e%7D%7Ba_n%7D)
![\theta = tan ^{-1} [\frac{a_e}{a_n } ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%20%5E%7B-1%7D%20%5B%5Cfrac%7Ba_e%7D%7Ba_n%20%7D%20%5D)
substituting values
![\theta = tan ^{-1} [\frac{0.808}{1.269 } ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%20%5E%7B-1%7D%20%5B%5Cfrac%7B0.808%7D%7B1.269%20%7D%20%5D)
![\theta = tan ^{-1} [0.636 ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%20%5E%7B-1%7D%20%5B0.636%20%5D)
![\theta = 32.5 6^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%2032.5%206%5Eo)
Efficiency = (energy that does the job) / (total energy used)
= (45 J) / (120J)
I think you can handle the division.
Answer:
a = 0.45 m/s²
Explanation:
The given question is ''Calculate the acceleration that produces a force of 40 N on a body with 88 kg of mass".
Given that,
Force, F = 40 N
Mass of the body, m = 88 kg
The net force acting on the body is given by :
F = ma
Where
a is the acceleration of the body
![a=\dfrac{F}{m}\\\\a=\dfrac{40\ N}{88\ kg}\\\\a=0.45\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B40%5C%20N%7D%7B88%5C%20kg%7D%5C%5C%5C%5Ca%3D0.45%5C%20m%2Fs%5E2)
So, the required acceleration is 0.45 m/s².