Answer: 90 m/s
Explanation:
Given
mass of racecar ![M=1.2\times10^3\ kg](https://tex.z-dn.net/?f=M%3D1.2%5Ctimes10%5E3%5C%20kg)
velocity of racecar ![u=8\ m/s](https://tex.z-dn.net/?f=u%3D8%5C%20m%2Fs)
mass of still honeybadger ![m=80\ kg](https://tex.z-dn.net/?f=m%3D80%5C%20kg)
after collision race car is traveling at a speed of ![v_1=2\ m/s](https://tex.z-dn.net/?f=v_1%3D2%5C%20m%2Fs)
conserving linear momentum
![Mu+m\times0=Mv_1+ mv_2\quad[v_2=\text{velocity of honeybadger after colllision}]](https://tex.z-dn.net/?f=Mu%2Bm%5Ctimes0%3DMv_1%2B%20mv_2%5Cquad%5Bv_2%3D%5Ctext%7Bvelocity%20of%20honeybadger%20after%20colllision%7D%5D)
![1.2\times10^3\times8+0=1.2\times10^3\times2+80\times v_2](https://tex.z-dn.net/?f=1.2%5Ctimes10%5E3%5Ctimes8%2B0%3D1.2%5Ctimes10%5E3%5Ctimes2%2B80%5Ctimes%20v_2)
![1.2\times10^3(8-2)=80v_2\\v_2=\frac{7.2\times10^3}{80}=90\ m/s](https://tex.z-dn.net/?f=1.2%5Ctimes10%5E3%288-2%29%3D80v_2%5C%5Cv_2%3D%5Cfrac%7B7.2%5Ctimes10%5E3%7D%7B80%7D%3D90%5C%20m%2Fs)
Answer:
89.53 North
Explanation:
Total N-S displacement
23.72 - 39.25 + 105.06 = + 89.53
Simply, apply the formula
![E = \frac{1}{2}mv^{2}](https://tex.z-dn.net/?f=%20E%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D%20)
and insert the values of m = mass, v = velocity and E = Energy.
The result will be
![72J = \frac{1}{2}m(12m/s)^{2}](https://tex.z-dn.net/?f=72J%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dm%2812m%2Fs%29%5E%7B2%7D%20%20)
, m = 1 kg
To solve this problem we will use the concepts related to Magnification. Magnification is the process of enlarging the apparent size, not physical size, of something. This enlargement is quantified by a calculated number also called "magnification".
The overall magnification of microscope is
![M = \frac{Nl}{f_ef_0}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7BNl%7D%7Bf_ef_0%7D)
Where
N = Near point
l = distance between the object lens and eye lens
= Focal length
= Focal of eyepiece
Given that the minimum distance at which the eye is able to focus is about 25cm we have that N = 25cm
Replacing,
![M = \frac{25*10}{3*5}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B25%2A10%7D%7B3%2A5%7D)
![M = 16.67\approx 17\\](https://tex.z-dn.net/?f=M%20%3D%2016.67%5Capprox%2017%5C%5C)
Therefore the correct answer is C.
This is false. they flow west to east