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The magnitudes of the forces that the ropes must exert on the knot connecting are :
- F₁ = 118 N
- F₂ = 89.21 N
- F₃ = 57.28 N
<u>Given data :</u>
Mass ( M ) = 12 kg
∅₂ = 63°
∅₃ = 45°
<h3>Determine the magnitudes of the forces exerted by the ropes on the connecting knot</h3><h3 />
a) Force exerted by the first rope = weight of rope
∴ F₁ = mg
= 12 * 9.81 ≈ 118 kg
<u>b) Force exerted by the second rope </u>
applying equilibrium condition of force in the vertical direction
F₂ sin∅₂ + F₃ sin∅₃ - mg = 0 ---- ( 1 )
where: F₃ = ( F₂ cos∅₂ / cos∅₃ ) --- ( 2 ) applying equilibrium condition of force in the horizontal direction
Back to equation ( 1 )
F₂ = [ ( mg / cos∅₂ ) / tan∅₂ + tan∅₃ ]
= [ ( 118 / cos 63° ) / ( tan 63° + tan 45° ) ]
= 89.21 N
<u />
<u>C ) </u><u>Force </u><u>exerted by the</u><u> third rope </u>
Applying equation ( 2 )
F₃ = ( F₂ cos∅₂ / cos∅₃ )
= ( 89.21 * cos 63 / cos 45 )
= 57.28 N
Hence we can conclude that The magnitudes of the forces that the ropes must exert on the knot connecting are :
F₁ = 118 N, F₂ = 89.21 N, F₃ = 57.28 N
Learn more about static equilibrium : brainly.com/question/2952156
Answer:
The quantity of energy per photon is inversely proportional to the wavelength of the light.
Explanation:
Energy of light is given as
E = hf
where E = energy of the photons,
f = frequency of the light
If the number of photons = n
(E/n) = (h/n) f
Let (E/n) = E'
(h/n) = h'
But the frequency of light is related to wavelength through the relation
v = fλ
where v = speed of light = c
λ = wavelength of light
f = (c/λ)
E' = h' f
Substituting for f
E' = h' (c/λ)
h' and c are both constants, h'×c = K
E' = (K/λ)
So, the quantity of energy per photon is inversely proportional to the wavelength of the light.
Hope this Helps!!!
Answer:
6.46393559312 m/s²
Explanation:
Time taken to cover 56 m
Distance covered in 0.42 seconds
From equation of linear motion
The minimum acceleration is 6.46393559312 m/s²
Answer:
Explanation:
For this case we have the following info given:
Number of Na+ ions 
Each ion have a charge of +e and the crage of the electron is 
The time is given 
if we convert this into seconds we got:
Now we can use the following formula given from the current passing thourhg a meter of nerve axon given by:
Where N represent the number of ions, e the charge of the electron and Q the total charge
If we replace on this case we have this:
And from the general definition of current we know that:
And since we know the total charge Q and the time we can replace:
The current during the inflow charge in the meter axon for this case is 
