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Gnom [1K]
2 years ago
13

Assuming this rate to be constant how many years will pass before the radius of the Moon's orbit increases by 3.6 x 10^6 m

Physics
1 answer:
Evgen [1.6K]2 years ago
6 0

The number of years that will pass before the radius of the Moon's orbit increases by 3.6 x 10^6 m will be 90000000 years.

<h3>How to compute the value?</h3>

From the information given, the orbit of the moon is increasing in radius at approximately 4.0cm/yr.

Therefore, we will convey the centimeters to meter. This will be 4cm will be:

= 4/100 = 0.04m/yr.

Time = Distance / Speed

Time = 3.6 x 10^6/0.04

Time = 90000000 years.

Learn more about moon on:

brainly.com/question/13262798

#SPJ1

Complete question:

Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the moon is increasing in radius at approximately 4.0cm/y. Assuming this rate to be constant how many years will pass before the radius of the Moon's orbit increases by 3.6 x 10^6

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Four forces act on bolt A as shown; F1 150N, F2 80N, F3 110N and F4 100N. Determine the magnitude and direction of the resultant
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Complete Question

The  complete question(reference (chegg)) is shown on the first uploaded image

Answer:

The magnitude of the resultant force is  F  =  199.64 \ N

The  direction of the resultant force is  \theta  =  4.1075^o from the horizontal plane

Explanation:

Generally when resolving force, if the force (F )is moving toward the angle then the resolve force will be  Fcos(\theta ) while if the force is  moving away from the angle  then the resolved force is  Fsin (\theta )

Now  from the diagram let resolve the forces to their horizontal component

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          \sum F_x  =  150 cos(30) + 100cos(15) -80sin (20)

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Now  resolving these force into their vertical component can be mathematically evaluated as

         \sum  F_{y}  =  150 sin(30) - 100sin(15) -110 +80 cos(20)

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Now the resultant force is mathematically evaluated as

        F  =  \sqrt{F_x^2 + F_y^2}

substituting values

        F  =  \sqrt{199.128^2 + 14.3^2}

        F  =  199.64 \ N

The  direction of the resultant force is  evaluated as

       \theta  =  tan^{-1}[\frac{F_y}{F_x} ]

substituting values

       \theta  =  tan^{-1}[\frac{ 14.3}{199.128} ]

       \theta  =  4.1075^o from the horizontal plane

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