Answer:
man will move in opposite direction with speed
![v_1 = 1.66 \times 10^{-3} m/s](https://tex.z-dn.net/?f=v_1%20%3D%201.66%20%5Ctimes%2010%5E%7B-3%7D%20m%2Fs)
Explanation:
As we know that man is lying on the friction-less surface
so here net force along the surface is zero
so if we take man + stone as a system then net change in momentum of this system will become zero
so here we have
![P_i = P_f](https://tex.z-dn.net/?f=P_i%20%3D%20P_f)
![0 = m_1v_1 + m_2v_2](https://tex.z-dn.net/?f=0%20%3D%20m_1v_1%20%2B%20m_2v_2)
here we have
![0 = (97)v_1 + 0.062(2.6)](https://tex.z-dn.net/?f=0%20%3D%20%2897%29v_1%20%2B%200.062%282.6%29)
![v_1 = -\frac{0.1612}{97}](https://tex.z-dn.net/?f=v_1%20%3D%20-%5Cfrac%7B0.1612%7D%7B97%7D)
![v_1 = -1.66 \times 10^{-3} m/s](https://tex.z-dn.net/?f=v_1%20%3D%20-1.66%20%5Ctimes%2010%5E%7B-3%7D%20m%2Fs)
Frequency = 1 / (period)
Frequency = 1 / (10 seconds) = (1/10) ( / second) = 0.1 per second = <em>0.1 Hz</em>.
Answer:
answer a: a large front gear with a small back gear
answer b: a small front gear with a large back gear
Explanation:
just simple gearing ratios
Answer:
Part a)
![a= 0.32 m/s^2](https://tex.z-dn.net/?f=a%3D%200.32%20m%2Fs%5E2)
Part b)
![F_c = 3.6 N](https://tex.z-dn.net/?f=F_c%20%3D%203.6%20N)
Part c)
![F_c = 5.5 N](https://tex.z-dn.net/?f=F_c%20%3D%205.5%20N)
Explanation:
Part a)
As we know that the friction force on two boxes is given as
![F_f = \mu m_a g + \mu m_b g](https://tex.z-dn.net/?f=F_f%20%3D%20%5Cmu%20m_a%20g%20%2B%20%5Cmu%20m_b%20g)
![F_f = 0.02(10.6 + 7)9.81](https://tex.z-dn.net/?f=F_f%20%3D%200.02%2810.6%20%2B%207%299.81)
![F_f = 3.45 N](https://tex.z-dn.net/?f=F_f%20%3D%203.45%20N)
Now we know by Newton's II law
![F_{net} = ma](https://tex.z-dn.net/?f=F_%7Bnet%7D%20%3D%20ma)
so we have
![F_p - F_f = (m_a + m_b) a](https://tex.z-dn.net/?f=F_p%20-%20F_f%20%3D%20%28m_a%20%2B%20m_b%29%20a)
![9.1 - 3.45 = (10.6 + 7) a](https://tex.z-dn.net/?f=9.1%20-%203.45%20%3D%20%2810.6%20%2B%207%29%20a)
![a = \frac{5.65}{17.6}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B5.65%7D%7B17.6%7D)
![a= 0.32 m/s^2](https://tex.z-dn.net/?f=a%3D%200.32%20m%2Fs%5E2)
Part b)
For block B we know that net force on it will push it forward with same acceleration so we have
![F_c - F_f = m_b a](https://tex.z-dn.net/?f=F_c%20-%20F_f%20%3D%20m_b%20a)
![F_c = \mu m_b g + m_b a](https://tex.z-dn.net/?f=F_c%20%3D%20%5Cmu%20m_b%20g%20%2B%20m_b%20a)
![F_c = 0.02(7)(9.8) + 7(0.32)](https://tex.z-dn.net/?f=F_c%20%3D%200.02%287%29%289.8%29%20%2B%207%280.32%29)
![F_c = 3.6 N](https://tex.z-dn.net/?f=F_c%20%3D%203.6%20N)
Part c)
If Alex push from other side then also the acceleration will be same
So for box B we can say that Net force is given as
![F_p - F_f - F_c = m_b a](https://tex.z-dn.net/?f=F_p%20-%20F_f%20-%20F_c%20%3D%20m_b%20a)
![9.1 - 0.02(7)(9.8) - F_c = 7(0.32)](https://tex.z-dn.net/?f=9.1%20-%200.02%287%29%289.8%29%20-%20F_c%20%3D%207%280.32%29)
![F_c = 9.1 - 0.02 (7)(9.8) - 7(0.32)](https://tex.z-dn.net/?f=F_c%20%3D%209.1%20-%200.02%20%287%29%289.8%29%20-%207%280.32%29)
![F_c = 5.5 N](https://tex.z-dn.net/?f=F_c%20%3D%205.5%20N)
Answer:
A. Is the one that the experimenter manipulates directly
Explanation:
The independent variable is the one that is manipulated during an experiment by the experimenter.
The dependent variable is the one that is effected by the independent variable in an experiment.