Answer:
![v = 14.86 m/s](https://tex.z-dn.net/?f=v%20%3D%2014.86%20m%2Fs)
Explanation:
As we know that the force equation at the top is given as
![\frac{mv^2}{R} = ma](https://tex.z-dn.net/?f=%5Cfrac%7Bmv%5E2%7D%7BR%7D%20%3D%20ma)
now we know that
![a_c = 1.5 g](https://tex.z-dn.net/?f=a_c%20%3D%201.5%20g)
so we have
![\frac{v^2}{R} = 1.5 g](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7BR%7D%20%3D%201.5%20g)
![v = \sqrt{1.5 Rg}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B1.5%20Rg%7D)
so we will have
![v = \sqrt{1.5(15)(9.81)}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B1.5%2815%29%289.81%29%7D)
![v = 14.86 m/s](https://tex.z-dn.net/?f=v%20%3D%2014.86%20m%2Fs)
Answer:
2.72 cycles
Explanation:
First of all, let's find the time that the stone takes to reaches the ground. The stone moves by uniform accelerated motion with constant acceleration g=9.8 m/s^2, and it covers a distance of S=44.1 m, so the time taken is
![S=\frac{1}{2}at^2\\t=\sqrt{\frac{2S}{a}}=\sqrt{\frac{2(44.1m)}{9.8 m/s^2}}=3 s](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5Ct%3D%5Csqrt%7B%5Cfrac%7B2S%7D%7Ba%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%2844.1m%29%7D%7B9.8%20m%2Fs%5E2%7D%7D%3D3%20s)
The period of the pendulum instead is given by:
![T=2 \pi \sqrt{\frac{L}{g}}=2 \pi \sqrt{\frac{0.3 m}{9.8 m/s^2}}=1.10 s](https://tex.z-dn.net/?f=T%3D2%20%5Cpi%20%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%7D%3D2%20%5Cpi%20%5Csqrt%7B%5Cfrac%7B0.3%20m%7D%7B9.8%20m%2Fs%5E2%7D%7D%3D1.10%20s)
Therefore, the number of oscillations that the pendulum goes through before the stone hits the ground is given by the time the stone takes to hit the ground divided by the period of the pendulum:
![N=\frac{t}{T}=\frac{3 s}{1.10 s}=2.72](https://tex.z-dn.net/?f=N%3D%5Cfrac%7Bt%7D%7BT%7D%3D%5Cfrac%7B3%20s%7D%7B1.10%20s%7D%3D2.72)
The answer is neutral charge. An atom element will always and has to be stable, in order for this state to happen. The charge of an electron has to be neutral. For atom with neutral charge, the proton will always equal the number of electron.
Answer:
Explanation:
Assuming the ground is level as well.
F = ma
a = F/m
a = (2000 - 350) / 1500
a = 1.1 m/s²