What energy does a spillway produce?
2 answers:
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Answer:
Explanation:
m₂ is hanging vertically and m₁ is placed on inclined plane . Both are in limiting equilibrium so on m₁ , limiting friction will act in upward direction as it will tend to slip in downward direct . Tension in cord connecting the masses be T .
For equilibrium of m₁
m₁ g sinα= T + f where f is force of friction
m₁ g sinα= T + μsx m₁ g cosα
m₁ g sinα - μs x m₁ g cosα = T
For equilibrium of m₂
T = m₂g
Putting this value in equation above
m₁ g sinα - μs x m₁ g cosα = m₂g
m₂ = m₁ sinα - μs x m₁ cosα
Answer:
a' =4.15 m/s²
Explanation:
Given that
m= 3.2 kg
F₁ = 1.9 i −1.9 j N
F₂=3.8 i −10.1 j N
From second law of Newton's
F(net) = m a
F₁ + F₂ = m x a
1.9 i −1.9 j + 3.8 i −10.1 j = 3.2 a
a = 1.78 i - 3.75 j m/s²
The resultant acceleration a'
a' =4.15 m/s²
Answer:
for the birds to be able to stay vertical in flight without falling down to earth, they must produce a lift that will counteract their weight
for the small bee humming bird,
mass = 1.6 g = 1.6 x kg
weight of the bird under acceleration due to gravity = mg
where g = acceleration due to gravity = 9.81 m/s^2
weight of the bird = 1.6 x x 9.806 = 0.0156 ≅ 0.016 N
for this bird to maintain flight, the least lift upward, it must generate must be equal to its weight downwards, i.e
lift = weight
therefore,
lift = <em>0.016 N</em>
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For the bustard of Europe and Asia,
mass = 21 kg
weight of the bird under acceleration due to gravity = mg
weight of the bird = 21 x 9.806 = 205.9 N
lift = weight = <em>205.9 N</em>
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<em>lift generated is proportional to the wing surface area according to the lift equation</em>
L = Cs x p x x S
where L = lift
C = lift coefficient
p = density of air
v = relative velocity of bird and air
S = surface are of the wing.
<em>The great bustard will have a proportionally larger wing area to hold its weight in flight</em>
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