In SI units, its acceleration is (the distance from A to C) / 32 m/s^2 .
Answer: 81.619 kJ
Explanation:
Given
Mass of roller coaster is ![m=230\ kg](https://tex.z-dn.net/?f=m%3D230%5C%20kg)
It reaches the steepest hill with speed of ![u=6.2\ km/h\ or \ 1.72\ m/s](https://tex.z-dn.net/?f=u%3D6.2%5C%20km%2Fh%5C%20or%20%5C%201.72%5C%20m%2Fs)
Hill to bottom is 51 m long with inclination of ![45^{\circ}](https://tex.z-dn.net/?f=45%5E%7B%5Ccirc%7D)
Height of the hill is ![h=51\sin 45^{\circ}=36.06\ m](https://tex.z-dn.net/?f=h%3D51%5Csin%2045%5E%7B%5Ccirc%7D%3D36.06%5C%20m)
Conserving energy to get kinetic energy at bottom
Energy at top=Energy at bottom
![\Rightarrow K_t+U_t=K_b+U_b\\\Rightarrow \dfrac{1}{2}mu^2+mgh=K_b+0\\\\\Rightarrow K_b=0.5\times 230\times 1.72^2+230\times 9.8\times 36.06\\\Rightarrow K_b=340.216+81,279.24\\\Rightarrow K_b=81,619.456\ J\\\Rightarrow K_b=81.619\ kJ](https://tex.z-dn.net/?f=%5CRightarrow%20K_t%2BU_t%3DK_b%2BU_b%5C%5C%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7Dmu%5E2%2Bmgh%3DK_b%2B0%5C%5C%5C%5C%5CRightarrow%20K_b%3D0.5%5Ctimes%20230%5Ctimes%201.72%5E2%2B230%5Ctimes%209.8%5Ctimes%2036.06%5C%5C%5CRightarrow%20K_b%3D340.216%2B81%2C279.24%5C%5C%5CRightarrow%20K_b%3D81%2C619.456%5C%20J%5C%5C%5CRightarrow%20K_b%3D81.619%5C%20kJ)
C. when you can't achieve your goal due to events beyond your control
Answer:
so its easier to understand for the reader
Explanation:
Take into account that in a standing wave, the frequency f of the points executing simple harmonic motion, is simply a multiple of the fundamental harmonic fo, that is:
f = n·fo
where n is an integer and fo is the first harmonic or fundamental.
fo is given by the length L of a string, in the following way:
fo = v/λ = v/(L/2) = 2v/L
becasue in the fundamental harmonic, the length of th string coincides with one hal of the wavelength of the wave.