Answer:
![s_{f} = 14.312 m](https://tex.z-dn.net/?f=s_%7Bf%7D%20%3D%2014.312%20m)
Explanation:
Since the particle is experimenting a constant acceleration, the displacement can be found by using this formula:
![v_{f}^{2} = v_{o}^{2} + 2 \cdot a \cdot (s_{f} - s_{o})](https://tex.z-dn.net/?f=v_%7Bf%7D%5E%7B2%7D%20%3D%20v_%7Bo%7D%5E%7B2%7D%20%2B%202%20%5Ccdot%20a%20%5Ccdot%20%28s_%7Bf%7D%20-%20s_%7Bo%7D%29)
Since
, the equation is simplified to this form:
![v_{f}^{2} = v_{o}^{2} + 2 \cdot a \cdot s_{f}](https://tex.z-dn.net/?f=v_%7Bf%7D%5E%7B2%7D%20%3D%20v_%7Bo%7D%5E%7B2%7D%20%2B%202%20%5Ccdot%20a%20%5Ccdot%20s_%7Bf%7D)
Then, the displacement is now isolated:
![s_{f} = \frac{v_{f}^{2}-v_{o}^{2}}{2 \cdot a}](https://tex.z-dn.net/?f=s_%7Bf%7D%20%3D%20%5Cfrac%7Bv_%7Bf%7D%5E%7B2%7D-v_%7Bo%7D%5E%7B2%7D%7D%7B2%20%5Ccdot%20a%7D)
Terms are replaced herein:
![s_{f} = \frac{(12.2 \frac{m}{s})^{2}-(6.1 \frac{m}{s})^{2}}{2 \cdot (3.90 \frac{m}{s^{2}}) } \\s_{f} = 14.312 m](https://tex.z-dn.net/?f=s_%7Bf%7D%20%3D%20%5Cfrac%7B%2812.2%20%5Cfrac%7Bm%7D%7Bs%7D%29%5E%7B2%7D-%286.1%20%5Cfrac%7Bm%7D%7Bs%7D%29%5E%7B2%7D%7D%7B2%20%5Ccdot%20%283.90%20%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%29%20%7D%20%5C%5Cs_%7Bf%7D%20%3D%2014.312%20m)
The cats have full bowls in the morning and afternoon, Katy can assume that the cats do not eat in the morning or afternoon. The bowls are replenished in the evening, which suggests that they become empty in the evening, which suggest that the pattern is that the cats eat in the evening so your answer would be C. Hope this helps. ;)
Answer:
The objective lens is an optical tool used to focus an image.
Explanation:
The objective lens is an optical tool that collects light emitted by an object under observation and focuses the rays of light in order to form a real and magnified image They are used in optical instruments like microscopes, cameras, telescopes, etc. and are also referred as objective or object glasses.
The medium determines the speed of the wave traveling in it, which also can have a number of other effects, including how much the wave bends (refracts), whether it reflects, etc.
Because waves move through space, they must have a velocity. The velocity of a wave is a function of the type of wave, and the medium it travels through. Electromagnetic waves moving through a vacuum, for instance, travel at roughly 3 x
10
8
m/s. This value is so famous and common in physics it is given its own symbol, c.
Answer:
Explanation:
Part 0
All the spring moves is 2 cm
x = 2 cm * [1 m / 100 cm ]
x = 0.020 meters
F = k*d
100N = k * 0.02 m
100 N / 0.02 = k
5000 N / m
Part A
The spring feels a force of 100 N - - 100N = 200 N because each person is pulling in the opposite direction.
F = k * x
200N = 5000 N/m * d
200 / 5000 = d
d = 0.04 meters.
Part B
10.2 kg must be converted to a force as experienced here on earth.
F = m * g
g = 9.81
m = 10.2
F = 10.2 * 9.81
F = 100.06 N
F = k * d
100.06 = 5000 * d
d = 100.06 / 5000
d = 0.02 meters.