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Margaret [11]
3 years ago
15

A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes.

the friction force on the sled is 1140 n and the angle between the two ropes is 25.0 ∘. how hard must each player pull to drag the coach at a steady 2.30 m/s ? assume both players pull with the same force.

Mathematics
1 answer:
masya89 [10]3 years ago
4 0
Refer to the diagram below, which provides a plan view of the problem

Because each player applies the same force, F, the angle between the force and the direction of motion is (1/2)*25° = 12.5°.

Because the sled  moves with constant velocity, the sled is in dynamic equilibrium, and
2F cos(12.5°) = 1140 N
1.9526 F = 1140
F = 583.84 N

Answer: 583.8 N (nearest tenth)

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3 years ago
I don’t know how to do this
stich3 [128]

To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

g(x)=\begin{cases}2x+5&\text{for }x\le-3\\x^2-10&\text{for }x>-3\end{cases}

has two pieces, 2x+5 and x^2-10, both of which are continuous by themselves on the provided intervals. In order for g to be continuous everywhere, we need to have

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By definition of g, we have g(-3)=2(-3)+5=-1, and the limits are

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The limits match, so g is continuous.

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3 years ago
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