Question

A paraglider is flying horizontally at a constant speed.Assume that only two forces act on it in the vertical direction,its weight and a vertical lift

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asked 2021-03-31
A paraglider is flying horizontally at a constant speed.Assume that only two forces act on it in the vertical direction,its weight and a vertical lift force exerted on its wings by theair. The lift force has a magnitude of 1800 N.
(a) What is the magnitude and direction of the force that theparaglider exerts on the earth ?
(b)If the lift force should suddenly decrease to 1200 N, whatwould be the vertical acceleration of the glider ? For bothquestions, take the upward direction to be the + y direction.

Answers (1)

2021-04-02

Let us assume that the skier is falling in the - y direction
The Lift force \(\displaystyle{F}_{{{l}{\quad\text{if}\quad}{t}}}={1800}{N}\)
There are two forces acting on him, 1) the Lift forceacting upwards
2) his wight acting downwards
The Net Force \(\displaystyle\sum{F}_{{{y}}}={m}{g}-{F}_{{{l}{\quad\text{if}\quad}{t}}}\)
According to Newton's second law, \(\displaystyle\sum{F}_{{{y}}}={m}{a}_{{{y}}}\)
Or \(\displaystyle{a}_{{{y}}}=\frac{{{m}{g}-{F}_{{{l}{\quad\text{if}\quad}{t}}}}}{{m}}\)
\(\displaystyle=\frac{{{m}{g}-{1800}}}{{m}}\)
Or \(\displaystyle{a}_{{{y}}}={g}-\frac{{1800}}{{m}}\)
b) If the vertical lift is reduced to 1200N, \(\displaystyle{a}_{{{y}}}={g}-\frac{{1200}}{{m}}\)

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