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 (C)</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 (A)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

<p>\[0.45~ ext{m/s}^2\] (A)</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>\[rac{3}{4}\] (D)</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>\( ext{v}= ext{rω}\) (A)</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 (B)</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 (C)</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 (D)</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>\( ext{a}_c=rac{ ext{v}^2}{ ext{r}}\) (B)</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 (A)</p> Signup and view all the answers

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