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catchi7484
12.02.2021 •
Physics
Esteban pulls a 62 kg sled trough the snow. On the back of the sled is his 50 kg sack of fishing equipment. The between the sled and the snow is 0.07 and the between the sled and the sack is 0.1. While pulling, the fishing rod sticking out of his sack catches a tree branch, but Esteban doesn't notice and keeps walking. What force does Esteban need to exert to keep the sled moving with a constant velocity while the sack is pulled back across it?
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Ответ:
F = 144 N
Explanation:
For this exercise we will use Neqwton's second law. Let's fix a reference system with the x-axis in the direction of the sled, let's write the forces for each part
Sack, let's use subscript 1
Y axis
N₁-W₁ = 0
N₁ + W₁ = m₁ g
X axis
fr₁ = m a₁
the expression for the friction force is
fr = μ₁ N₁
we substitute
μ₁ m₁ g = m a₁
Sled, subscript 2
Y axis
N₂ - W₁ -W₂ = 0
N₂ = W₁ + W₂
N₂ = (m₁ + m₂) g
X axis
F - fr₁ -fr₂ = m a₂
the expression for the deroce force is
fr = μ N
we substitute
F - μ₁ m₁g - μ₂ (m₁ + m₂) g = m a₂
as it indicates that the velocity is constant the acceleration of the sled is zero (a₂ = 0)
F = μ₁ m₁g + μ₂ (m₁ + m₂) g
F = g (m₁ (μ₁ + μ₂) + μ₂ m₂)
let's calculate
F = 9.8 (50 (0.07 + 0.1) + 62 0.1)
F = 144 N
Ответ: