Free Practice Quiz Question List

5 - Circular Motion and Gravitation Online Quiz Questions

Use this free practice quiz with 20 questions to review 5 - Circular Motion and Gravitation, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

For uniform circular motion, which equation gives the tangential speed $v$ in terms of the radius $r$ and the period $T$ ?

A
$v=\frac{r}{T}$
B
$v=\frac{2\pi r}{T}$
C
$v=\frac{T}{2\pi r}$
D
$v=2\pi Tr$

True or false

1 point

An object moving around a circle at constant speed is still accelerating.

A
True
B
False

Choose one

1 point

What does the term “centripetal force” represent in a circular-motion problem?

A
A new force that always acts outward
B
The force of gravity alone
C
The net inward radial force
D
A force that acts only on satellites

Written response

1 point

What is the name of the quantity defined as the number of complete revolutions per unit time?

Fill in the blank

1 point

In nonuniform circular motion, acceleration has a component that changes velocity direction and a component that changes speed.

True or false

1 point

A force directed tangent to a circular path contributes directly to the centripetal acceleration. Is this statement true or false?

A
True
B
False

Choose one

1 point

For a car on a level curve, which quantity cancels when deriving the maximum speed before slipping?

A
The car’s mass
B
The coefficient of static friction
C
The curve’s radius
D
The gravitational field strength

Written response

1 point

A car travels at $10\ \text{m/s}$ around a circular curve of radius $50\ \text{m}$ . What is its centripetal acceleration? Enter the value in $\text{m/s}^2$ .

Fill in the blank

1 point

For a conical pendulum whose string makes an angle $\theta$ with the vertical, the component of tension balances the weight, and the component supplies the centripetal force.

Choose all

1 point

Select all actual forces that can provide some or all of the inward net force required for circular motion.

A
Tension
B
Static friction
C
Gravity
D
The normal force
E
Centrifugal force in an inertial frame

Choose all

1 point

Select all statements that correctly describe a circular orbit around a much larger central mass.

A
Gravity supplies the centripetal force.
B
The orbiting satellite’s mass determines its circular orbital speed around a fixed central mass.
C
A satellite at a larger orbital radius has a longer period.
D
For a fixed central mass, a satellite at a larger radius has a lower circular orbital speed.
E
A satellite in a circular orbit has no acceleration because its altitude is constant.

Choose one

1 point

For an ideal banked curve with no friction, which relationship gives the banking angle $\theta$ for speed $v$ , radius $r$ , and gravitational field strength $g$ ?

A
$\tan\theta=\frac{rg}{v^2}$
B
$\tan\theta=\frac{v^2}{rg}$
C
$\tan\theta=\frac{mg}{Nv^2}$
D
$\tan\theta=\frac{v^2r}{g}$

Open ended

1 point

For an object moving inside a vertical loop, explain how the radial force equations differ at the top and bottom. Then derive the minimum speed at the top for the object to remain just in contact with the track.

True or false

1 point

True or false: An object moving at constant speed in a circular path is accelerating.

A
True
B
False

Choose one

1 point

An object moves with constant speed around a circular path. Which statement correctly describes the directions of its instantaneous velocity and acceleration?

A
The velocity points toward the center, and the acceleration is tangent to the path.
B
The velocity is tangent to the path, and the acceleration points toward the center.
C
Both the velocity and acceleration point toward the center.
D
Both the velocity and acceleration are tangent to the path.

Choose one

1 point

Which statement best explains what is meant by “centripetal force” in a circular-motion problem?

A
It is always supplied by gravity.
B
It is always supplied by static friction.
C
It is the net inward radial force from one or more actual forces.
D
It acts outward and balances the inward forces.

Written response

1 point

A wheel rotates at a frequency of $2.5\ \text{Hz}$ . What is its period? Enter the value in seconds.

Choose one

1 point

Two cars travel on the same level curve with the same coefficient of static friction. One car has twice the mass of the other. How does the maximum speed before slipping compare for the two cars?

A
The maximum speed increases in direct proportion to the car’s mass.
B
The maximum speed is independent of the car’s mass.
C
The maximum speed decreases as the car’s mass increases.
D
The maximum speed depends only on the normal force, not on friction.

Written response

1 point

A car follows a circular path while its speed increases uniformly from $2\ \text{m/s}$ to $8\ \text{m/s}$ in $3\ \text{s}$ . What is the magnitude of its tangential acceleration? Enter the value in $\text{m/s}^2$ .

Choose one

1 point

For an ideal banked curve with no friction, which relationship gives the banking angle $\theta$ for a vehicle moving at speed $v$ on radius $r$ ?

A
$\tan\theta=\frac{rg}{v^2}$
B
$\tan\theta=\frac{v}{rg}$
C
$\tan\theta=\frac{v^2}{rg}$
D
$\tan\theta=\frac{r^2g}{v^2}$