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lianna [129]
4 years ago
15

A boat moves at 10.8 m/s relative to the water. If the boat is in a river where the current is 2.00 m/s, how long does it take t

he boat to make a complete round trip of 1 100 m upstream followed by a 1 100-m trip downstream?
336 s
250 s
172 s
297 s
211 s
Physics
1 answer:
Ray Of Light [21]4 years ago
8 0

Answer:

Option E is the correct answer.

Explanation:

Velocity of boat = 10.8 m/s

Velocity of river = 2 m/s

Relative velocity upstream = 10.8 - 2 = 8.8 m/s

            Displacement = Velocity x Time

            1100 = 8.8 x t₁

        Time in upstream, t₁ = 125 s  

Relative velocity downstream = 10.8 + 2 = 12.8 m/s

            Displacement = Velocity x Time

            1100 = 12.8 x t₂

        Time in downstream, t₂ = 86 s  

Total time = t₁ + t₂ = 125 + 86 = 211 s

Option E is the correct answer.           

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Answer:

149.112\ \text{N}

120.94\ \text{N}

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Explanation:

m = Mass of block = 15.2 kg

g = Acceleration due to gravity = 9.81\ \text{m/s}^2

\theta = Angle

a = Acceleration

F = Applied force

Normal force is given by

N=mg\\\Rightarrow N=15.2\times 9.81\\\Rightarrow N=\boldsymbol{149.112\ \mathbf{N}}

\theta=35^{\circ}

N=mg\cos\theta\\\Rightarrow N=15.2\times 9.81\times \cos35.8^{\circ}\\\Rightarrow N=\mathbf{120.94\ N}

a=3.53\ \text{m/s}^2

N=m(g+a)\\\Rightarrow N=15.2(9.81+3.53)\\\Rightarrow N=\boldsymbol{302.77\ \mathbf{N}}

F=155\ \text{N}

N=mg-F\sin35.8^{\circ}\\\Rightarrow N=15.2\times 9.81-155\sin35.8^{\circ}\\\Rightarrow N=\boldsymbol{58.44\ \mathbf{N}}

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Answer:

The 16ᵗʰ term of this sequence is 82

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<u>-TheUnknownScientist</u>

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