Understanding Centripetal Forces Quiz
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Questions and Answers

What is the formula to calculate centripetal acceleration for an object traveling along a circular path of radius $r$ with velocity $v$?

  • $a = \frac{r}{v}$
  • $a = \frac{v^2}{r}$ (correct)
  • $a = \frac{r^2}{v}$
  • $a = \frac{v}{r}$

    • What is a centripetal force?

  • A fundamental force that acts on all objects in circular motion
  • A net force that acts on an object to keep it moving along a circular path (correct)
  • A force that causes an object to move in a spiral path
  • A force that causes an object to move in a straight path

    • According to Newton’s 1ˢᵗ law, what happens to an object unless acted on by an external force?

  • It continues moving along a straight path (correct)
  • It moves in a circular path
  • It accelerates without any force
  • It decelerates without any force

    • What is the tension force in the string of a swinging tethered ball an example of?

    <p>A centripetal force</p> Signup and view all the answers

    Which statement about the centripetal force is true?

    <p>It is not a fundamental force, but just a label given to the net force which causes an object to move in a circular path</p> Signup and view all the answers

    What kind of forces can be involved as long as they add up (by vector addition) to give a net force towards the center of the circular path?

    <p>Multiple individual forces</p> Signup and view all the answers

    What is the centripetal force experienced by the mass [m_1 ext{ ?} ight]

    <p>\[16~ ext{N}\]</p> Signup and view all the answers

    What is the angular velocity of the mass [m_1 ext{ ?} ight]

    <p>\[8~ ext{rad/s}\]</p> Signup and view all the answers

    What is the magnitude of the centripetal acceleration for the car turning the corner?

    <p>\[0.45~ ext{m/s}^2\]</p> Signup and view all the answers

    What is the minimum coefficient of static friction required for the car to make the turn without slipping?

    <p>\[rac{3}{4}\]</p> Signup and view all the answers

    What is the relationship between linear velocity ([v ext{ }), angular velocity (\( ext{ω} ight) ight), and radius ([r ext{ }) in circular motion?

    <p>\( ext{v}= ext{rω}\)</p> Signup and view all the answers

    In which direction is the centripetal force acting on a mass in uniform circular motion?

    <p>Perpendicular to the direction of motion</p> Signup and view all the answers

    What happens to centripetal force if the radius of the circular path is doubled, with no change in speed?

    <p>It becomes half</p> Signup and view all the answers

    If a car makes a turn in a larger radius with the same speed, what happens to the minimum coefficient of static friction required?

    <p>It decreases</p> Signup and view all the answers

    What is the relationship between centripetal acceleration ([a_c ight) ight), linear velocity ([v ight) ight), and radius ([r ight) ight) in circular motion?

    <p>\( ext{a}_c=rac{ ext{v}^2}{ ext{r}}\)</p> Signup and view all the answers

    What happens to centripetal force if both mass and speed are doubled, with no change in radius?

    <p>It quadruples</p> Signup and view all the answers

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