Anthea Caleb Taylor - #33-38 Full Solution Booklet on Circular Motion and Gravity

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#33. A planet of radius 7.0×10^7m has a gravitational field strength of 68N/kg at it's surface. What is the period of a satellite orbiting this planet at a radius of 1.4×10^8m (twice the planet's radius)? LIST THE GENERAL STEPS.

Step1. Find the correct equation and rearrange the equation to isolate for the period of the satellite.

Step2. Input values for the correct variables and calculate.

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#33. A planet of radius 7.0×10^7m has a gravitational field strength of 68N/kg at it's surface. What is the period of a satellite orbiting this planet at a radius of 1.4×10^8m (twice the planet's radius)? WHAT IS THE FIRST STEP?

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#33. A planet of radius 7.0×10^7m has a gravitational field strength of 68N/kg at it's surface. What is the period of a satellite orbiting this planet at a radius of 1.4×10^8m (twice the planet's radius)? WHAT IS STEP TWO?

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<p>Draw the free body diagram for this image.</p>

Draw the free body diagram for this image.

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<p>pg 67 # 37. A space station has an outer radius of 140m. The station rotates so that the occupants at X at the outer wall experience an acceleration of 9.8m/s². What acceleration will the occupants at Y experience at the 100m radius? <br><br>List all general steps to solve the problem.</p><p></p>

pg 67 # 37. A space station has an outer radius of 140m. The station rotates so that the occupants at X at the outer wall experience an acceleration of 9.8m/s². What acceleration will the occupants at Y experience at the 100m radius?

List all general steps to solve the problem.

  1. Make a list of the given values to determine which formula to use.

  2. rearrange ac=4π²r/T² for T in order to find the period of rotation for the whole station.

  3. use T value as well as given values for100m radius to solve for ac at the Y area. ac=4π²r/T²

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<p>pg 67 # 37. A space station has an outer radius of 140m. The station rotates so that the occupants at X at the outer wall experience an acceleration of 9.8m/s². What acceleration will the occupants at Y experience at the 100m radius? <br><br>What is step 1 and 2? </p>

pg 67 # 37. A space station has an outer radius of 140m. The station rotates so that the occupants at X at the outer wall experience an acceleration of 9.8m/s². What acceleration will the occupants at Y experience at the 100m radius?

What is step 1 and 2?

  1. Make a list of the given values to determine which formula to use.

  2. rearrange ac=4π²r/T² for T in order to find the period of rotation for the whole station. You will need T in order to find the time for rotation of occupants at Y.

<ol><li><p>Make a list of the given values to determine which formula to use. </p></li><li><p>rearrange ac=4π²r/T² for T in order to find the period of rotation for the whole station. You will need T in order to find the time for rotation of occupants at Y.</p></li></ol><p></p>
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pg 67 # 37. A space station has an outer radius of 140m. The station rotates so that the occupants at X at the outer wall experience an acceleration of 9.8m/s². What acceleration will the occupants at Y experience at the 100m radius?

What is step 3?

  1. use T value as well as given values for100m radius to solve for ac at the Y area. ac=4π²r/T²

<ol><li><p>use T value as well as given values for100m radius to solve for ac at the Y area. ac=4π²r/T²</p></li></ol><p></p>
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<p>Which of the following graphs shows how the gravitational force varies with the distance of separation between two objects?<br></p>

Which of the following graphs shows how the gravitational force varies with the distance of separation between two objects?

A graph typically shows an inverse square relationship, where gravitational force decreases as the distance increases.

<p>A graph typically shows an inverse square relationship, where gravitational force decreases as the distance increases. </p>
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A car moving in a circular path with a constant speed has __________ acceleration.

Centripetal Acceleration

Even though the car moves at a constant speed, its velocity is changing because velocity is a vector. Since the direction is continuously changing, there must be an acceleration.

This acceleration is called centripetal acceleration, and it is always directed toward the center of the circular path.

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<p>#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?</p><p>List the general solving steps.</p>

#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?

List the general solving steps.

  1. State the equation and rearrange.

  2. Plug in respective values.

  3. Calculate and state final answer.

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<p>#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?</p><p>What is step 1?</p>

#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?

What is step 1?

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<p>#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?</p><p>List step 2.</p>

#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?

List step 2.

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<p>#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?</p><p>What is step 3?</p>

#36. A 9.0×10^-3kg ball is attached to a 3.6×10^-2kg mass M by a string that passes through a hole in a horizontal frictionless surface. The ball travels in a circular path of radius 0.35m. What is the speed of the ball?

What is step 3?

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