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AP Physics C: Mechanics : Normal Force

Study concepts, example questions & explanations for AP Physics C: Mechanics

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Example Questions

Example Question #1 : Friction And Normal Force

Weightlessness is experienced when the normal force equals __________.

Possible Answers:

the mass of the object

the force due to gravity

zero

a negative value

Correct answer:

zero

Explanation:

"Weightlessness" is analogous to free-fall (neglecting air resistance), during which the only force on an object is the force of gravity. When normal force becomes zero, the object loses physical contact with the surface.

When normal force is equal to the force of gravity, the object is in equilibrium and the net vertical force is zero. This results in zero acceleration, but does not result in "weightlessness." Mass is not a force, and negative force values merely indicate relative direction (assuming correct calculations)

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Example Question #2 : Friction And Normal Force

A book of mass 1kg is held to a vertical wall by a person's hand applying a 20N force directly toward the wall. The wall has a static friction coefficient of 0.3 and a kinetic friction coefficient of 0.2. With the book held at rest, what the is frictional force keeping the book from sliding down the wall?

Possible Answers:

39.2N

58.8N

Correct answer:

Explanation:

Frictional force is calculated using the normal force and the friction coefficient. Since the book is at rest (not in motion), we use the coefficient of static friction.

$F_f=\mu_sF_N$

The normal force will be equal and opposite the force pushing directly into the surface; in this case, that means the normal force will be 20N.

Solve for the force of friction:

F_f=(0.3)(20N)=6N

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Example Question #1 : Friction And Normal Force

$\begin{align*}&\text{A block of mass }190kg\text{ rests on an incline of }33^{\circ}\\&\text{It is also partially supported by a rope with a tension of }559.17N\\&\text{What is the normal force acting on the block from the surface?}\\&g=9.81\frac{m}{s^2}\end{align*}$

Possible Answers:

1094.24N

710.61N

1015.15N

1563.2N

Correct answer:

1094.24N

Explanation:

Normalwrope

$\begin{align*}&\text{To solve a problem of force balance, a good idea is to draw}\\&\text{it out. Since the block is at rest, i.e. stationary, the sum}\\&\text{of forces acting on it must be equal to zero. The forces acting}\\&\text{on it are gravity (in the form of the mass times the gravitational}\\&\text{constant), the force of the rope supporting it, a normal force,}\\&\text{and since it’s on an incline, a frictional force to balance}\\&\text{it all out. Notice that the tension in the rope mitigates some}\\&\text{of the gravitational force (as illustrated in the upper left}\\&\text{corner) to lessen what is applied to the slope:}\\&F_{mass}=m*g\\&F_{normal}=(F_{mass}-F_{rope})*cos(a)\\&F_{friction}=(F_{mass}-F_{rope})*sin(a)\\&F_{normal}=(190kg(9.81\frac{m}{s^2})-559.17N)(cos(33^{\circ}))\\&F_{normal}=1094.24N\end{align*}$

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Example Question #2 : Friction And Normal Force

$\begin{align*}&\text{A block of mass }233kg\text{ rests on an incline of }81^{\circ}\\&\text{What is the normal force acting on the block from the surface?}\\&g=9.81\frac{m}{s^2}\end{align*}$

Possible Answers:

2285.73N

2257.59N

357.57N

230.13N

Correct answer:

357.57N

Explanation:

Normal

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Example Question #3 : Friction And Normal Force

$\begin{align*}&\text{A block of mass }187kg\text{ rests on an incline of }83^{\circ}\\&\text{What is the normal force acting on the block from the surface?}\\&g=9.81\frac{m}{s^2}\end{align*}$

Possible Answers:

1834.47N

1820.8N

185.61N

223.57N

Correct answer:

223.57N

Explanation:

Normal

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Example Question #4 : Friction And Normal Force

$\begin{align*}&\text{A block of mass }267kg\text{ rests on an incline of }49^{\circ}\\&\text{What is the normal force acting on the block from the surface?}\\&g=9.81\frac{m}{s^2}\end{align*}$

Possible Answers:

1976.79N

201.51N

2619.27N

1718.4N

Correct answer:

1718.4N

Explanation:

Normal

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Example Question #5 : Friction And Normal Force

$\begin{align*}&\text{A block of mass }112kg\text{ rests on an incline of }18^{\circ}\\&\text{It is also partially supported by a rope.}\\&\text{The normal force acting on the block is }417.98N\\&\text{What is the tension felt in the rope?}\\&g=9.81\frac{m}{s^2}\end{align*}$

Possible Answers:

1044.94N

659.23N

1098.72N

339.52N

Correct answer:

659.23N

Explanation:

Normalwrope

$\begin{align*}&\text{To solve a problem of force balance, a good idea is to draw}\\&\text{it out. Since the block is at rest, i.e. stationary, the sum}\\&\text{of forces acting on it must be equal to zero. The forces acting}\\&\text{on it are gravity (in the form of the mass times the gravitational}\\&\text{constant), the force of the rope supporting it, a normal force,}\\&\text{and since it’s on an incline, a frictional force to balance}\\&\text{it all out. Notice that the tension in the rope mitigates some}\\&\text{of the gravitational force (as illustrated in the upper left}\\&\text{corner) to lessen what is applied to the slope:}\\&F_{mass}=m*g\\&F_{normal}=(F_{mass}-F_{rope})*cos(a)\\&F_{rope}=F_{mass}-\frac{F_{normal}}{cos(a)}\\&F_{rope}=1098.72N-\frac{417.98N}{cos(18^{\circ})}\\&F_{rope}=659.23N\end{align*}$

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AP Physics C: Mechanics : Normal Force

Study concepts, example questions & explanations for AP Physics C: Mechanics

All AP Physics C: Mechanics Resources

Example Questions

Example Question #1 : Friction And Normal Force

Example Question #2 : Friction And Normal Force

Example Question #1 : Friction And Normal Force

Example Question #2 : Friction And Normal Force

Example Question #3 : Friction And Normal Force

Example Question #4 : Friction And Normal Force

Example Question #5 : Friction And Normal Force

All AP Physics C: Mechanics Resources

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