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hodyreva [135]
2 years ago
11

A 25 newton force applied on an object moves it 50 meters. The angle between the force and displacement is 40.0°. What is the va

lue of work being done on the object?
Physics
1 answer:
zloy xaker [14]2 years ago
3 0

Answer:

<em>T</em><em>he value of work being done on the object is 958J.</em>

Explanation:

<em>Work</em><em> done</em><em> </em><em>is </em><em>equal</em><em> to</em><em> </em><em>force</em><em> </em><em>multiply</em><em> by</em><em> </em><em>distance,</em><em> </em><em>but </em><em>when</em><em> </em><em>the </em><em>angle</em><em> </em><em>is </em><em>between</em><em> </em><em>the</em><em> </em><em>force</em><em> </em><em>and</em><em> </em><em>distance</em><em> </em><em>work</em><em> </em><em>done=</em><em>Force</em><em> (</em><em>cos</em><em> </em><em>theta)</em><em> </em><em>×</em><em> </em><em>distance</em>

<em>Work</em><em> done</em><em> </em><em>=</em><em> </em><em>Force(</em><em>cos </em><em>theta</em><em>)</em><em> </em><em>×</em><em> </em><em>distance</em>

<em>Work</em><em> done</em><em> </em><em>=</em><em> </em><em>2</em><em>5</em><em>N</em><em>(</em><em>cos </em><em>4</em><em>0</em><em>.</em><em>0</em><em>°</em><em>)</em><em> </em><em>×</em><em> </em><em>5</em><em>0</em><em>m</em>

<em>Work</em><em> done</em><em> </em><em>=</em><em> </em><em>2</em><em>5</em><em>N</em><em>(</em><em>0</em><em>.</em><em>7</em><em>6</em><em>6</em><em>0</em><em>)</em><em> </em><em>×</em><em> </em><em>5</em><em>0</em><em>m</em>

<em>Work</em><em> done</em><em> </em><em>=</em><em> </em><em>19.15N </em><em>×</em><em> </em><em>5</em><em>0</em><em>m</em>

<em>Work</em><em> done</em><em> </em><em>=</em><em> </em><em>957.5J </em><em>=</em><em> </em><em>9</em><em>5</em><em>8</em><em>J</em>

<em>T</em><em>herefore</em><em> the</em><em> </em><em>value</em><em> of</em><em> </em><em>work</em><em> </em><em>being</em><em> </em><em>done </em><em>on </em><em>the</em><em> </em><em>object</em><em> </em><em>is </em><em>9</em><em>5</em><em>8</em><em>J</em><em>.</em>

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Explanation:

I rename angle (θ) = angle(α)

First we are going to write two important equations to solve this problem :

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Vyi = Vi.sin(\alpha ) = 9.2 \frac{m}{s} .sin(46) = 6.62 \frac{m}{s}

Vy in this problem will follow this equation =

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where g is the gravity acceleration

Vy(t) = Vyi - g.t= 6.62 \frac{m}{s} - (9.8\frac{m}{s^{2} }) .t

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For Y(t) :

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We suppose yi = 0

Y(t) = Yi +Vyi.t-\frac{g.t^{2} }{2} = 6.62 \frac{m}{s} .t- 4.9\frac{m}{s^{2} } .t^{2}

This is equation (2)

We need the time in which Vy = 0 m/s so we use (1)

Vy (t) = 0\\0=6.62 \frac{m}{s} - 9.8 \frac{m}{s^{2} } .t\\t= 0.675 s

So in t = 0.675 s  → Vy = 0. Now we calculate the y in which this happen using (2)

Y(0.675s) = 6.62\frac{m}{s}.(0.675s)-4.9 \frac{m}{s^{2} }  .(0.675s)^{2} \\Y(0.675s) =2.236 m

2.236 m is the maximum height from the shell (in which Vy=0 m/s)

Let's calculate now the height for t = 0.555 s

Y(0.555s)= 6.62 \frac{m}{s} .(0.555s)-4.9\frac{m}{s^{2} } .(0.555s)^{2} \\Y(0.555s) = 2.165m

The height asked is

∆h = 2.236 m - 2.165 m = 0.071 m

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t = X/v

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t = 12.14 seconds

<h3>Height of the plane</h3>

h = ¹/₂gt²

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Learn more about height here: brainly.com/question/1739912

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