I think by using data collected by Tycho Brahe
Answer:
1) 1.31 m/s2
2) 20.92 N
3) 8.53 m/s2
4) 1.76 m/s2
5) -8.53 m/s2
Explanation:
1) As the box does not slide, the acceleration of the box (relative to ground) is the same as acceleration of the truck, which goes from 0 to 17m/s in 13 s
![a = \frac{\Delta v}{\Delta t} = \frac{17 - 0}{13} = 1.31 m/s2](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B%5CDelta%20v%7D%7B%5CDelta%20t%7D%20%3D%20%5Cfrac%7B17%20-%200%7D%7B13%7D%20%3D%201.31%20m%2Fs2)
2)According to Newton 2nd law, the static frictional force that acting on the box (so it goes along with the truck), is the product of its mass and acceleration
![F_s = am = 1.31*16 = 20.92 N](https://tex.z-dn.net/?f=F_s%20%3D%20am%20%3D%201.31%2A16%20%3D%2020.92%20N)
3) Let g = 9.81 m/s2. The maximum static friction that can hold the box is the product of its static coefficient and the normal force.
![F_{\mu_s} = \mu_sN = mg\mu_s = 16*9.81*0.87 = 136.6N](https://tex.z-dn.net/?f=F_%7B%5Cmu_s%7D%20%3D%20%5Cmu_sN%20%3D%20mg%5Cmu_s%20%3D%2016%2A9.81%2A0.87%20%3D%20136.6N)
So the maximum acceleration on the block is
![a_{max} = F_{\mu_s} / m = 136.6 / 16 = 8.53 m/s^2](https://tex.z-dn.net/?f=a_%7Bmax%7D%20%3D%20F_%7B%5Cmu_s%7D%20%2F%20m%20%3D%20136.6%20%2F%2016%20%3D%208.53%20m%2Fs%5E2)
4)As the box slides, it is now subjected to kinetic friction, which is
![F_{\mu_s} = mg\mu_k = 16*9.81*0.69 = 108.3 N](https://tex.z-dn.net/?f=F_%7B%5Cmu_s%7D%20%3D%20mg%5Cmu_k%20%3D%2016%2A9.81%2A0.69%20%3D%20108.3%20N)
So if the acceleration of the truck it at the point where the box starts to slide, the force that acting on it must be at 136.6 N too. So the horizontal net force would be 136.6 - 108.3 = 28.25N. And the acceleration is
28.25 / 16 = 1.76 m/s2
5) Same as number 3), the maximum deceleration the truck can have without the box sliding is -8.53 m/s2
Answer:
is the current through the body of the man.
energy dissipated.
Explanation:
Given:
- time for which the current lasted,
![t=43\times 10^{-6}\ s](https://tex.z-dn.net/?f=t%3D43%5Ctimes%2010%5E%7B-6%7D%5C%20s)
- potential difference between the feet,
![V=21000\ V](https://tex.z-dn.net/?f=V%3D21000%5C%20V)
- resistance between the feet,
![R=550\ \Omega](https://tex.z-dn.net/?f=R%3D550%5C%20%5COmega)
<u>Now, from the Ohm's law we have:</u>
![I=\frac{V}{R}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7BV%7D%7BR%7D)
![I=\frac{21000}{550}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B21000%7D%7B550%7D)
is the current through the body of the man.
<u>Energy dissipated in the body:</u>
![E=I^2.R.t](https://tex.z-dn.net/?f=E%3DI%5E2.R.t)
![E=38.181^2\times 550\times 43\times 10^{-6}](https://tex.z-dn.net/?f=E%3D38.181%5E2%5Ctimes%20550%5Ctimes%2043%5Ctimes%2010%5E%7B-6%7D)
![E=34.5\ J](https://tex.z-dn.net/?f=E%3D34.5%5C%20J)
i don't know the anss , sorry.