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)
Answer:
It's A
Explanation:
As the waves progress through the medium, the particles they are made of move perpendicular to the direction in which the waves move. The particles do not move with the wave. So waves transmit energy but not matter as they progress through a medium.
I don't really know what it's about but everything looks okay to me. There might be some mistakes on the last sentence but i'm not completely sure.
Answer:
See below
Explanation:
a) Spring force at release = k * d = 132 N/m * .120 m = 15.84 N
b) F = ma
15.84 = (.660 kg)(a) a = 24 m/s^2
c) Toward the left ....the object is accelerated to the left