Answer: 0.4911 kg
Explanation:
We have the following data:
is the density of gasoline at
is the average coefficient of volume expansion
We need to find the extra kilograms of gasoline.
So, firstly we need to transform the volume of gasoline from gallons to :
(1)
Knowing density is given by: , we can find the mass of 8.50 gallons:
(2)
Now, we have to calculate the factor by which the volume of gasoline is increased with the temperature, which is given by:
(3)
Where is the initial temperature and is the final temperature.
(4)
(5)
With this, we can calculate the density of gasoline at :
(6)
Now we can calculate the mass of gasoline at this temperature:
(7)
(8)
(9)
And finally calculate the mass difference :
(10)
(11) This is the extra mass of gasoline
Answer:
a) λ = 121.5 nm
, b) 102.6, 97, 91.1 nm
Explanation:
Bohr's model describes the energy of the hydrogen atom
= k² e² / 2m (1 / n²)
A transition occurs when the electron passes from n level to a lower one
- = k² e² / 2m (1 / ² - 1 / ²)
Planck's relationship is
E = h f = h c / lam
hc /λ = k² e²/ 2m(1 / ² - 1 / ²)
1 / λ = [k² e² / 2m h c] (1 / ² - 1 / ²)
1 /λ = Ry] (1 / ² - 1 / ²)
a) the first element of the series occurs for = 2
1 / λ = 1.097 10⁷ (1- 1/2²)
1 / λ = 1.097 10⁷ (1- 0.25)
1 / λ = 0.82275 10⁷
λ = 1.215 10⁻⁷ m
λ = 1,215 10⁻⁷ m (10⁹nm / m)
λ = 121.5 nm
b) the next elements of the series occur to
1 /λ λ (10-7m) λ (nm)
3 1 1,097 10⁷ (1-1 / 9) 1,0255 102.6
4 1 1,097 10⁷ (1-1 / 16) 0.9723 97.2
∞ 1 1,097 10⁷ (1 - 0) 0.91158 91.1
It is the same, there is no difference.
In fact, the force of gravity on an object is equal to the weight of the object, defined as
where m is the mass of the object and g=9.81 m/s^2 is the acceleration of gravity, As we can see, the magnitude of this force depends only on the mass of the object: in this problem, both the objects (the piece of iron and the piece of glass) have same mass (1 kg), therefore they have same weight, and same force of gravity.
snow shoes.
shoes with large areas in contact with the snoow. reduces the pressure on the snow, and alows you to sink less. or to walk on the surface.
Stilettp high heels would have the opposite effect
Answer:
The minimum initial speed of the cannon ball is approximately 99.018 m/s
Explanation:
The parameters of the cannon are;
The maximum horizontal distance reached, R = 3,279 ft. ≈ 999.4392 m
The maximum horizontal range, , is given by the following formula;
Where;
u = The initial speed
g = The acceleration due to gravity ≈ 9.81 m/s²
= 999.4392 m
We get;
u = √(g × )
∴ u = √(9.81 m/s² × 999.4392 m) ≈ 99.018 m/s
The minimum initial speed of the cannon ball (just as it leaves the cannon) that is needed for it to reach this distance, in m/s, u ≈ 99.018 m/s.