Answer: f=150cm in water and f=60cm in air.
Explanation: Focal length is a measurement of how strong light is converged or diverged by a system. To find the variable, it can be used the formula:
= (nglass - ni)(
- 
).
nglass is the index of refraction of the glass;
ni is the index of refraction of the medium you want, water in this case;
R1 is the curvature through which light enters the lens;
R2 is the curvature of the surface which it exits the lens;
Substituting and calculating for water (nwater = 1.3):
= (1.5 - 1.3)(
- 
)
= 0.2(
)
f = 
= 150
For air (nair = 1):
= (1.5 - 1)( - )
f = 
= 60
In water, the focal length of the lens is f = 150cm.
In air, f = 60cm.
Answer:
(A) 7.9 m/s^{2}
(B) 19 m/s
(C) 91 m
Explanation:
initial velocity (U) = 0 mph = 0 m/s
final velocity (V) = 85 mph = 85 x 0.447 = 38 m/s
initial time (ti) = 0 s
final time (t) = 4.8 s
(A) acceleration = 
= 
= 7.9 m/s^{2}
(B) average velocity = 
=
= 19 m/s
(C) distance travelled (S) = ut + 
= (0 x 4.8) + 
= 91 m
Answer:
shown below
Explanation:
2 x 10⁷ as a number is 20,000,000
20,000,000 - 10 = 19,999,990
It went 19,999,990 m/h
in km/h:
19,999,990 / 1000 = 19,999.99 km/h
in km/s
19,999,990 / 3,600,000 = ~5.56 km/s
in m/s
19,999,990 / 3600 = ~5555.56 m/s
Answer:
The west component of the given vector is - 42.548 meters.
Explanation:
We need to translate the sentence into a vectoral expression in rectangular form, which is defined as:
Where:
- Horizontal component of vector distance, measured in meters.
- Vertical component of vector distance, measured in meters.
Let suppose that east and north have positive signs, then we get the following expression:
![(x, y) = (-45\cdot \cos 19^{\circ}, -45\cdot \sin 19^{\circ})\,[m]](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3D%20%28-45%5Ccdot%20%5Ccos%2019%5E%7B%5Ccirc%7D%2C%20-45%5Ccdot%20%5Csin%2019%5E%7B%5Ccirc%7D%29%5C%2C%5Bm%5D)
![(x, y) = (-42.548,-14.651)\,[m]](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3D%20%28-42.548%2C-14.651%29%5C%2C%5Bm%5D)
The west component corresponds to the first component of the ordered pair. That is to say:
The west component of the given vector is - 42.548 meters.
