= 3.456 × 1011
(scientific notation)
= 3.456e11
(scientific e notation)
= 345.6 × 109
(engineering notation)
(billion; prefix giga- (G))
= 345600000000
(real number)
Answer:
1030 mph
Explanation:
The new velocity equals the initial velocity plus the wind velocity.
First, in the x (east) direction:
vₓ = 335 mph + 711 cos 19° mph
vₓ = 1007 mph
And in the y (north) direction:
vᵧ = 0 mph + 711 sin 19° mph
vᵧ = 231 mph
The net speed can be found with Pythagorean theorem:
v² = vₓ² + vᵧ²
v² = (1007 mph)² + (231 mph)²
v ≈ 1030 mph
To solve this we assume
that the gas inside is an ideal gas. Then, we can use the ideal gas
equation which is expressed as PV = nRT. At a constant pressure and number of
moles of the gas the ratio T/V is equal to some constant. At another set of
condition of temperature, the constant is still the same. Calculations are as
follows:
T1 / V1 = T2 / V2
V2 = T2 x V1 / T1
V2 = 659.7 x 28 / 504.7
<span>V2 = 36.60 in^3</span>
When light moves from a medium with higher refractive index to a medium with lower refractive index, the critical angle is the angle above which there is no refracted light, and all the light is reflected. The value of this angle is given by

where n2 and n1 are the refractive indices of the second and first medium, respectively.
In the first part of the problem, light moves from glass to air (

) and the critical angle is

. This means that we can find the refractive index of glass by re-arranging the previous formula:

Now the glass is put into water, whose refractive index is

. If light moves from glass to water, the new critical angle will be
Forces affect how objects move. They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving. Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. Remember that acceleration is a change in velocity.