Answer:
a = 2.22 [m/s^2]
Explanation:
First we have to convert from kilometers per hour to meters per second
![40 [\frac{km}{h}]*[\frac{1h}{3600s}]*[\frac{1000m}{1km}] = 11.11 [m/s]](https://tex.z-dn.net/?f=40%20%5B%5Cfrac%7Bkm%7D%7Bh%7D%5D%2A%5B%5Cfrac%7B1h%7D%7B3600s%7D%5D%2A%5B%5Cfrac%7B1000m%7D%7B1km%7D%5D%20%3D%2011.11%20%5Bm%2Fs%5D)
We have to use the following kinematics equation:
where:
Vf = final velocity = 11.11 [m/s]
Vi = initial velocity = 0
a = acceleration [m/s^2]
t = time = 5 [s]
The initial speed is taken as zero, as the car starts from zero.
11.11 = 0 + (a*5)
a = 2.22 [m/s^2]
It's C, with the 2/7/4/6 in front of each reactant and product.
The situation given above is that of the geometric sequence with first term equal to 75 meters and the common ratio equal to 0.40. The sum of the terms for an infinite geometric sequence is expressed in the equation,
S = a1/(1 - r)
Substituting,
S = (75 m) / (1 - 0.4) = 125 m
Therefore, the total distance that the pendulum had swung before finally coming to rest is 125 m.
Each point in the chain supports the weight of all the mass below it.
At the bottom end of the chain, the weight is (175 x 9.8) = 1,715 N .
At the top of the chain, the weight is (175 + 12) x (9.8) = 1,833 N .
The tension in the chain varies linearly from 1,715N at the bottom
to 1,833N at the top.
