Once the book is set into motion by the 6-N force, it starts accelerationg at a rate of 1 m/s2. The force of kinetic friction on the book is closest to

To find the force of kinetic friction, we can use Newton's second law:

\[
F_{\text{net}} = m \cdot a
\]

where:
- \( F_{\text{net}} \) is the net force acting on the book,
- \( m \) is the mass of the book, and
- \( a \) is the acceleration of the book.

Since we know the applied force \( F_{\text{applied}} = 6 \, \text{N} \) and the acceleration \( a = 1 \, \text{m/s}^2 \), we can solve for the force of kinetic friction.

### Step 1: Set up the equation
The net force \( F_{\text{net}} \) can also be written as:
\[
F_{\text{net}} = F_{\text{applied}} - F_{\text{friction}}
\]

Thus:
\[
m \cdot a = F_{\text{applied}} - F_{\text{friction}}
\]

### Step 2: Solve for \( F_{\text{friction}} \)
Rearrange to find \( F_{\text{friction}} \):
\[
F_{\text{friction}} = F_{\text{applied}} - m \cdot a
\]

### Step 3: Find the mass of the book
Since \( F = m \cdot a \), we can isolate \( m \) using the known values:
\[
m = \frac{F_{\text{applied}}}{a} = \frac{6 \, \text{N}}{1 \, \text{m/s}^2} = 6 \, \text{kg}
\]

### Step 4: Substitute values to find \( F_{\text{friction}} \)
\[
F_{\text{friction}} = F_{\text{applied}} - m \cdot a = 6 \, \text{N} - (6 \, \text{kg}) \cdot (1 \, \text{m/s}^2) = 6 \, \text{N} - 6 \, \text{N} = 0 \, \text{N}
\]

So, **the force of kinetic friction on the book is 0 N**.

Would you like further clarification on any step, or have any other questions?

Here are some questions you might consider exploring next:
1. What happens to the frictional force if the surface becomes rougher?
2. How would we calculate the force of static friction if the book were initially at rest?
3. How does the coefficient of kinetic friction relate to the frictional force?
4. What role does mass play in determining the frictional force on an object?
5. If the applied force changed, how would that affect the frictional force on the book?

**Tip:** In friction problems, always determine if the force you’re calculating is static or kinetic; they often differ significantly in magnitude.

Once the book is set into motion by the 6-N force, it starts accelerating at a rate of 1 m/s². The force of kinetic friction on the book is closest to

Learn how to calculate the force of kinetic friction on a book when a 6-N force causes it to accelerate at 1 m/s². This solution uses Newton's Second Law and explains key concepts like net force and kinetic friction. Ideal for students in Grades 9-12.

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