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nignag [31]
3 years ago
14

A person whose weight is 5.20 3 102 N is being pulled up vertically by a rope from the bottom of a cave that is 35.1 m deep. The

maximum tension that the rope can with stand without breaking is 569 N. What is the shortest time, starting from rest, in which the person can be brought out of the cave?
Physics
1 answer:
kodGreya [7K]3 years ago
3 0

Answer:

It is given that the weight of the person is 102 N

We have the force that shall be needed to being the man out in minimum amount of time shall correspond to the maximum tension that can be developed

Thus using Newton's second law we obtain the acceleration that the man shall attain

\sum F_{ext}=m\overrightarrow{a}\\\\T-W=ma\\\\\therefore a=\frac{T_{max}-W}{\frac{W}{g}}\\\\a_{max}=\frac{569-102}{\frac{102}{9.81}}=44.9m/s^{2}

Now using second equation of kinematics to obtain time 't' we get

t=\sqrt{\frac{2s}{g}}\\\\t=\sqrt{\frac{2\times 35.1}{44.9}}=1.25secs

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<h3>How to calculate acceleration?</h3>

The acceleration of a freight train can be calculated using the following formula:

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2 years ago
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Answer:

a)  v = √(v₀² + 2g h),    b)      Δt = 2 v₀ / g

Explanation:

For this exercise we will use the mathematical expressions, where the directional towards at is considered positive.

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in this case the height y is zero and the height i = h

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The times to get to the ground

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ball 2

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From the previous part, we saw that the speeds of the two balls are the same when reaching the ground, so the time difference is

       Δt = t₂ -t₁

       Δt = \frac{1}{g} \ [(v_{o} - v)  - ( - v_{o}  - v) ]

       Δt = 2 v₀ / g

6 0
3 years ago
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