Answer: 45.3°
Explanation:
Given,
Length of ladder = l
Weight of ladder = w
Coefficient of friction = μs = 0.495
Smallest angle the ladder makes = θ
If we assume the forces in the vertical direction to be N1, and the forces in the horizontal direction to be N2, then,
N1 = mg and
N2 = μmg
Moment at a point A in the clockwise direction is
N2 Lsinθ - mg.(L/2).cosθ = 0
μmgLsinθ - mg.(L/2).cosθ = 0
μmgLsinθ = mg.(L/2).cosθ
μsinθ = cosθ/2
sin θ / cos θ = 1 / 2μ
Tan θ = 1 / 2μ
Substituting the value of μ = 0.495, we have
Tan θ = 1 / 2 * 0.495
Tan θ = 1 / 0.99
Tan θ = 1.01
θ = tan^-1(1.01)
θ = 45.3°
The answer is B hope this helped
$10,350 is the amount of money that has been collected mangoes are sold by Anya and Lauren at $15.
Number of mangoes of Anya's = 115 mangoes
Number of mangoes of Lauren's = 5 × 115 = 575 mangoes
Total number of mangoes = Number of mangoes Anya has + Number of mangoes Lauren has
= 115 + 575
= 690 mangoes
Amount each mango sold = $15
The total amount of money collected = Total number of mangoes × Amount each mango were sold
= 690 × 15
= $10,350
So, therefore, Anya and Lauren sold their total mangoes for $10,350.
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100N to the left. Newton's 3rd law action and reaction
