Newtons first law - Objects in the car at rest (The human) will remain at rest unless affected by an unbalanced force. Well the unbalanced force would be the crash and this would set the human in motion and they would ether fly out the car if not wearing a seat belt or if wearing one they would get bad whip lash
Newtons second law - With more mass requires more force, so since the human is pretty light or even if heavy in a big crash there will be so much more from it that this will send the human flying.
Newtons 3rd law - Objects A puts force onto objects b and object b excretes the same amount of force back onto object a, so in a crash the human would hit the car hard and the car would excrete the same amount of force back on the human which would really damage him/her
Solution :
Acceleration due to gravity of the earth, g ![$=\frac{GM}{R^2}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7BGM%7D%7BR%5E2%7D%24)
![$g=\frac{G(4/3 \pi R^2 \rho)}{R^2}=G(4/3 \pi R \rho)$](https://tex.z-dn.net/?f=%24g%3D%5Cfrac%7BG%284%2F3%20%5Cpi%20R%5E2%20%5Crho%29%7D%7BR%5E2%7D%3DG%284%2F3%20%5Cpi%20R%20%5Crho%29%24)
Acceleration due to gravity at 1000 km depths is :
![$g=G\left(\frac{4}{3}\pi (R-d) \rho\right)$](https://tex.z-dn.net/?f=%24g%3DG%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%28R-d%29%20%5Crho%5Cright%29%24)
![$g=6.67 \times 10^{-11}\left(\frac{4}{3}\times 3.14 \times (6371-1000) \times 5.5 \times 10^3\right)$](https://tex.z-dn.net/?f=%24g%3D6.67%20%5Ctimes%2010%5E%7B-11%7D%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%20%286371-1000%29%20%5Ctimes%205.5%20%5Ctimes%2010%5E3%5Cright%29%24)
![$= 822486 \times 10^{-8}$](https://tex.z-dn.net/?f=%24%3D%20822486%20%5Ctimes%2010%5E%7B-8%7D%24)
![$=0.822 \times 10^{-2} \ km/s$](https://tex.z-dn.net/?f=%24%3D0.822%20%5Ctimes%2010%5E%7B-2%7D%20%5C%20km%2Fs%24)
= 8.23 m/s
Acceleration due to gravity at 2000 km depths is :
![$g=G\left(\frac{4}{3}\pi (R-d) \rho\right)$](https://tex.z-dn.net/?f=%24g%3DG%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%28R-d%29%20%5Crho%5Cright%29%24)
![$g=6.67 \times 10^{-11}\left(\frac{4}{3}\times 3.14 \times (6371-2000) \times 5.5 \times 10^3\right)$](https://tex.z-dn.net/?f=%24g%3D6.67%20%5Ctimes%2010%5E%7B-11%7D%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%20%286371-2000%29%20%5Ctimes%205.5%20%5Ctimes%2010%5E3%5Cright%29%24)
![$= 673552 \times 10^{-8}$](https://tex.z-dn.net/?f=%24%3D%20673552%20%5Ctimes%2010%5E%7B-8%7D%24)
![$=0.673 \times 10^{-2} \ km/s$](https://tex.z-dn.net/?f=%24%3D0.673%20%5Ctimes%2010%5E%7B-2%7D%20%5C%20km%2Fs%24)
= 6.73 m/s
Acceleration due to gravity at 3000 km depths is :
![$g=G\left(\frac{4}{3}\pi (R-d) \rho\right)$](https://tex.z-dn.net/?f=%24g%3DG%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%28R-d%29%20%5Crho%5Cright%29%24)
![$g=6.67 \times 10^{-11}\left(\frac{4}{3}\times 3.14 \times (6371-3000) \times 5.5 \times 10^3\right)$](https://tex.z-dn.net/?f=%24g%3D6.67%20%5Ctimes%2010%5E%7B-11%7D%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%20%286371-3000%29%20%5Ctimes%205.5%20%5Ctimes%2010%5E3%5Cright%29%24)
![$= 3371 \times 153.86 \times 10^{-8}$](https://tex.z-dn.net/?f=%24%3D%203371%20%5Ctimes%20153.86%20%5Ctimes%2010%5E%7B-8%7D%24)
= 5.18 m/s
Acceleration due to gravity at 4000 km depths is :
![$g=G\left(\frac{4}{3}\pi (R-d) \rho\right)$](https://tex.z-dn.net/?f=%24g%3DG%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%28R-d%29%20%5Crho%5Cright%29%24)
![$g=6.67 \times 10^{-11}\left(\frac{4}{3}\times 3.14 \times (6371-4000) \times 5.5 \times 10^3\right)$](https://tex.z-dn.net/?f=%24g%3D6.67%20%5Ctimes%2010%5E%7B-11%7D%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%5Ctimes%203.14%20%5Ctimes%20%286371-4000%29%20%5Ctimes%205.5%20%5Ctimes%2010%5E3%5Cright%29%24)
![$= 153.84 \times 2371 \times 10^{-8}$](https://tex.z-dn.net/?f=%24%3D%20153.84%20%5Ctimes%202371%20%5Ctimes%2010%5E%7B-8%7D%24)
![$=0.364 \times 10^{-2} \ km/s$](https://tex.z-dn.net/?f=%24%3D0.364%20%5Ctimes%2010%5E%7B-2%7D%20%5C%20km%2Fs%24)
= 3.64 m/s
Answer:
he fall movement we see that both the force is different from zero, and the torque is different from zero.
When analyzing the statements the d is true
Explanation:
Let's pose the solution of this problem, to be able to analyze the firm affirmations.
When the person is falling, the weight acts on them all the time, initially the rope has no force, but at the moment it begins to lash it exerts a force towards the top that is proportional to the lengthening of the rope.
The equation for this part is
Fe - W = m a
k x - mg = m a
As the axis of rotation is located at the top where they jump, there is a torque.
What is it
Fe y - W y = I α
angular and linear acceleration are related
a = α r
Fe y - W y = I a / r
In the fall movement we see that both the force is different from zero, and the torque is different from zero.
When analyzing the statements the d is true
Answer:
the answer would be "using more heat" btw
Explanation:
Answer:
![\ m/s](https://tex.z-dn.net/?f=%3C3068.2352%2C%20800%2C%200%3E%5C%20m%2Fs)
Explanation:
F = Force = ![](https://tex.z-dn.net/?f=%3C-1.12%5Ctimes%2010%5E%7B-11%7D%2C%200%2C%200%3E)
m = Mass of proton = ![1.7\times 10^{-27\ kg](https://tex.z-dn.net/?f=1.7%5Ctimes%2010%5E%7B-27%5C%20kg)
t = Time taken = ![2\times 10^{-14}\ s](https://tex.z-dn.net/?f=2%5Ctimes%2010%5E%7B-14%7D%5C%20s)
Acceleration is given by
![a=\dfrac{F}{m}\\\Rightarrow a=\dfrac{}{1.7\times 10^{-27}}\\\Rightarrow a=\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D%5C%5C%5CRightarrow%20a%3D%5Cdfrac%7B%3C-1.12%5Ctimes%2010%5E%7B-11%7D%2C%200%2C%200%3E%7D%7B1.7%5Ctimes%2010%5E%7B-27%7D%7D%5C%5C%5CRightarrow%20a%3D%3C-6.58824%5Ctimes%2010%5E%7B15%7D%2C%200%2C%200%3E%5C%20m%2Fs%5E2)
![v=u+at\\\Rightarrow v=+\times 2\times 10^{-14}\\\Rightarrow v=+\times 2\times 10^{-14}\\\Rightarrow v=+\\\Rightarrow v=\ m/s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%20v%3D%3C3200%2C%20800%2C%200%3E%2B%3C-6.58824%5Ctimes%2010%5E%7B15%7D%2C%200%2C%200%3E%5Ctimes%202%5Ctimes%2010%5E%7B-14%7D%5C%5C%5CRightarrow%20v%3D%3C3200%2C%20800%2C%200%3E%2B%3C-6.58824%5Ctimes%2010%5E%7B15%7D%2C%200%2C%200%3E%5Ctimes%202%5Ctimes%2010%5E%7B-14%7D%5C%5C%5CRightarrow%20v%3D%3C3200%2C%20800%2C%200%3E%2B%3C-131.7648%2C%200%2C%200%3E%5C%5C%5CRightarrow%20v%3D%3C3068.2352%2C%20800%2C%200%3E%5C%20m%2Fs)
The velocity of the proton is ![\ m/s](https://tex.z-dn.net/?f=%3C3068.2352%2C%20800%2C%200%3E%5C%20m%2Fs)