Roller coasters work by utilizing its potential energy. Potential energy is "lost" as the cars lose height, subsequently gaining kinetic energy as revealed by increased speeds (and loop the loop). As the cars of the roller coaster course through the changing heights, it constantly swaps between potential and kinetic energy. Theoretically, this process could be endless. However, energy is continually "lost" because of dissipative forces such as friction and air resistance.
If two variables are inversely proportional, then when one increases, the other decreases, and vice versa. If a variable, y, is inversely proportional to a variable, x, then y = k/x, where k is the proportionality constant.
Answer:
They typically "want" 2, so the answer is C.
Explanation:
consider the motion of the tennis ball in downward direction
Y = vertical displacement = 400 m
a = acceleration = acceleration due to gravity = 9.8 m/s²
v₀ = initial velocity of the ball at the top of building = 10 m/s
v = final velocity of the ball when it hits the ground = ?
using the kinematics equation
v² = v²₀ + 2 a Y
inserting the values
v² = 10² + 2 (9.8) (400)
v = 89.11 m/s
Answer:
![v=1667.9km/h](https://tex.z-dn.net/?f=v%3D1667.9km%2Fh)
![a_{cp}=436.6km/h^2](https://tex.z-dn.net/?f=a_%7Bcp%7D%3D436.6km%2Fh%5E2)
Explanation:
The speed is the distance traveled divided by the time taken. The distance traveled in 24hs while standing on the equator is the circumference of the Earth
, where
is the radius of the Earth.
We have then:
![v=\frac{C}{t}=\frac{2\pi R}{t}=\frac{2\pi (6371km)}{(24h)}=1667.9km/h](https://tex.z-dn.net/?f=v%3D%5Cfrac%7BC%7D%7Bt%7D%3D%5Cfrac%7B2%5Cpi%20R%7D%7Bt%7D%3D%5Cfrac%7B2%5Cpi%20%286371km%29%7D%7B%2824h%29%7D%3D1667.9km%2Fh)
And then we use the centripetal acceleration formula:
![a_{cp}=\frac{v^2}{R}=\frac{(1667.9km/h)^2}{(6371km)}=436.6km/h^2](https://tex.z-dn.net/?f=a_%7Bcp%7D%3D%5Cfrac%7Bv%5E2%7D%7BR%7D%3D%5Cfrac%7B%281667.9km%2Fh%29%5E2%7D%7B%286371km%29%7D%3D436.6km%2Fh%5E2)