we know the equation for the period of oscillation in SHM is as follows:
T = 2 * pi * sqrt(mass/k)
we know f = 1/T, so f = 1/(2 * pi) * sqrt(k/m).
since d = v*T, we can say v = d/t = d * f
the final equation, after combining everything, is as follows:
v = d/(2 * pi) * sqrt(k/m)
by plugging everything in
v = .75/(2 * pi) * sqrt((1 * 10^5)/(30))
We find our velocity to be:
v = 6.89 m/s
Explanation:
Neutral carbon-12 (or any carbon atom) has 6 electrons with a total negative charge of 6e- orbiting a nucleus with a total positive charge of 6e+, so that the total net charge is zero. The nucleus is made up of 6 protons, each with a positive charge of e+, and 6 neutrons, each with zero charge.
Answer:
C or B
Explanation:
it said that the ball was dropped from the same height but answer C could also be the answer because it said that it was the same ball
Answer:
Vibrations of the eardrum are in turn translated into oscillations of tiny bones (ossicles) found within the middle ear. The Hammer, Anvil, and Stirrup magnify the oscillations and relay this information to the chamber of the inner ear.
Answer:
20 seconds
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
r = Radius of robot = 0.5 m
= Angular acceleration = 2 rad/s²
Linear acceleration is given by
![a=r\alpha\\\Rightarrow a=0.5\times 2\\\Rightarrow a=1\ m/s^2](https://tex.z-dn.net/?f=a%3Dr%5Calpha%5C%5C%5CRightarrow%20a%3D0.5%5Ctimes%202%5C%5C%5CRightarrow%20a%3D1%5C%20m%2Fs%5E2)
![s=ut+\frac{1}{2}at^2\\\Rightarrow 50=0t+\frac{1}{2}\times 1\times t^2\\\Rightarrow t=\sqrt{\frac{50\times 2}{1}}\\\Rightarrow t=10\ s](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%2050%3D0t%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%201%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20t%3D%5Csqrt%7B%5Cfrac%7B50%5Ctimes%202%7D%7B1%7D%7D%5C%5C%5CRightarrow%20t%3D10%5C%20s)
While speeding up time taken is 10 seconds
![v=u+at\\\Rightarrow v=0+1\times 10\\\Rightarrow v=10\ m/s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%20v%3D0%2B1%5Ctimes%2010%5C%5C%5CRightarrow%20v%3D10%5C%20m%2Fs)
![s=ut+\frac{1}{2}at^2\\\Rightarrow 50=10t-\frac{1}{2}\times 1\times t^2\\\Rightarrow t=\sqrt{\frac{50\times 2}{1}}\\\Rightarrow 50=10t-0.5t^2\\\Rightarrow -5t^2+100t-500=0](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%2050%3D10t-%5Cfrac%7B1%7D%7B2%7D%5Ctimes%201%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20t%3D%5Csqrt%7B%5Cfrac%7B50%5Ctimes%202%7D%7B1%7D%7D%5C%5C%5CRightarrow%2050%3D10t-0.5t%5E2%5C%5C%5CRightarrow%20-5t%5E2%2B100t-500%3D0)
![t=\dfrac{-100\pm \sqrt{100^2-4\left(-5\right)\left(-500\right)}}{2\left(-5\right)}\\\Rightarrow t=10\ s](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B-100%5Cpm%20%5Csqrt%7B100%5E2-4%5Cleft%28-5%5Cright%29%5Cleft%28-500%5Cright%29%7D%7D%7B2%5Cleft%28-5%5Cright%29%7D%5C%5C%5CRightarrow%20t%3D10%5C%20s)
The time taken to slow down is 10 seconds
Total time the trial is rum is 10+10 = 20 seconds