Question

listed in the item bank are key terms and expressions, each of which is associated with one of the columns. drag and drop each item into the correct column. order does not matter. will accelerate to the left will accelerate to the right will not accelerate a bottle rocket experiences a 500 n force to the right and 300 n of air resistance to the left a box experiences a 20 n force to the left and a 19 n frictional force to the right a rope experiences three 400 n forces to the left and three different 410 n forces to the right a box experiences a 20 n force to the left and two different 8 n forces to the right a skateboard is pushed up a hill with a 90 n force to the left and experiences a gravitational force of 100 n to the right a car experiences a 300 n force to the right from the engine and separate 150 n force due to air resistance to the left

Explanation:

To solve this, we analyze the net force on each object using \( F_{net}=\sum F \) (sum of forces). If \( F_{net} eq0 \), the object accelerates in the direction of the net force; if \( F_{net} = 0 \), it does not accelerate.

Step 1: Analyze "A bottle rocket..."

- Right force: \( 500\,\text{N} \), Left force: \( 300\,\text{N} \)
- Net force: \( 500 - 300 = 200\,\text{N} \) (right). So, accelerates right.

Step 2: Analyze "A box (20 N left, 19 N right)"

- Left force: \( 20\,\text{N} \), Right force: \( 19\,\text{N} \)
- Net force: \( 20 - 19 = 1\,\text{N} \) (left). So, accelerates left.

Step 3: Analyze "A rope (3×400 N left, 3×410 N right)"

- Left force: \( 3\times400 = 1200\,\text{N} \), Right force: \( 3\times410 = 1230\,\text{N} \)
- Net force: \( 1230 - 1200 = 30\,\text{N} \) (right). So, accelerates right.

Step 4: Analyze "A box (20 N left, 2×8 N right)"

- Left force: \( 20\,\text{N} \), Right force: \( 2\times8 = 16\,\text{N} \)
- Net force: \( 20 - 16 = 4\,\text{N} \) (left). So, accelerates left.

Step 5: Analyze "A skateboard (90 N left, 100 N right)"

- Left force: \( 90\,\text{N} \), Right force: \( 100\,\text{N} \)
- Net force: \( 100 - 90 = 10\,\text{N} \) (right). So, accelerates right. Wait, no—wait, the skateboard is pushed up a hill? Wait, maybe I misread. Wait, the skateboard: left force 90 N, right force 100 N? Wait, no, the gravitational force—wait, maybe the forces are horizontal? Wait, maybe the problem's forces are along the direction of motion. Wait, re - check: "A skateboard is pushed up a hill with a 90 N force to the left and experiences a gravitational force of 100 N to the right". Wait, no—maybe the forces are: left force 90 N, right force 100 N. Net force: \( 100 - 90 = 10\,\text{N} \) right? Wait, no, maybe the directions are different. Wait, maybe I made a mistake. Wait, let's re - do:

Wait, the skateboard: force to the left (90 N) and gravitational force to the right (100 N). Net force: \( 100 - 90 = 10\,\text{N} \) right? So accelerates right? Wait, no, maybe the gravitational force is along the hill. Anyway, let's proceed.

Step 6: Analyze "A car (300 N right, 150 N left)"

- Right force: \( 300\,\text{N} \), Left force: \( 150\,\text{N} \)
- Net force: \( 300 - 150 = 150\,\text{N} \) (right). So, accelerates right.

Wait, but let's correct the earlier steps:

Wait, "A box (20 N left, two 8 N right)": two 8 N right is \( 16\,\text{N} \) right. Net force: \( 20 - 16 = 4\,\text{N} \) left. Correct.

"A rope: three 400 N left (total 1200 N) and three different 410 N right (total 1230 N). Net force 30 N right. Correct.

"A bottle rocket: 500 N right, 300 N left. Net 200 N right. Correct.

"A box: 20 N left, 19 N right. Net 1 N left. Correct.

Now, for "Will not accelerate", we need net force = 0. Wait, do any of these have net force zero? Wait, maybe I missed one. Wait, the problem's items:

Wait, the items are:

1. A bottle rocket: 500 N right, 300 N left → net 200 N right → accelerate right.

2. A box: 20 N left, 19 N right → net 1 N left → accelerate left.

3. A rope: 3×400 N left, 3×410 N right → net 30 N right → accelerate right.

4. A box: 20 N left, 2×8 N right (16 N right) → net 4 N left → accelerate left.

5. A skateboard: 90 N left, 100 N right → net 10 N right → accelerate right.

6. A car: 300 N right, 150 N left → net 150 N right → accelerate right.

Wait, but maybe I misread the skateboard: "A skateboard is pushed up a hill with a 90 N force to the left and experiences a gravitational force of 100 N to the right". Wait, maybe the "pushed up a hill" means the forces are along the hill. So left (pushing up? No, pushing up a hill with 90 N to the left? Maybe the force is to the right? Wait, maybe a typo. Anyway, assuming the given forces:

Now, let's assign:

- Will accelerate to the left:
- A box (20 N left, 19 N right) (net 1 N left)
- A box (20 N left, 16 N right) (net 4 N left)

- Will accelerate to the right:
- A bottle rocket (500 N right, 300 N left) (net 200 N right)
- A rope (1200 N left, 1230 N right) (net 30 N right)
- A skateboard (90 N left, 100 N right) (net 10 N right)
- A car (300 N right, 150 N left) (net 150 N right)

- Will not accelerate: Wait, do any have net force zero? Wait, maybe I missed an item. Wait, the problem's items—maybe I miscounted. Wait, the items are:

1. A bottle rocket...

2. A box (20 N left, 19 N right)

3. A rope...

4. A box (20 N left, 2×8 N right)

5. A skateboard...

6. A car...

Wait, maybe there's a mistake. Wait, the "A rope" has three 400 N left and three different 410 N right. 3×400 = 1200, 3×410 = 1230. Net 30 N right. Correct.

Wait, maybe the "Will not accelerate" column is empty? No, maybe I made a mistake. Wait, let's re - check each:

1. Bottle rocket: \( F_{net}=500 - 300 = 200\,\text{N (right)} \) → accelerate right.

2. Box (20 left, 19 right): \( F_{net}=20 - 19 = 1\,\text{N (left)} \) → accelerate left.

3. Rope: \( F_{net}=3\times410 - 3\times400 = 30\,\text{N (right)} \) → accelerate right.

4. Box (20 left, 2×8 right): \( F_{net}=20 - 16 = 4\,\text{N (left)} \) → accelerate left.

5. Skateboard: \( F_{net}=100 - 90 = 10\,\text{N (right)} \) → accelerate right.

6. Car: \( F_{net}=300 - 150 = 150\,\text{N (right)} \) → accelerate right.

So, the assignments are:

- Will accelerate to the left:
- A box (20 N left, 19 N right)
- A box (20 N left, 2×8 N right)

- Will accelerate to the right:
- A bottle rocket (500 N right, 300 N left)
- A rope (3×400 N left, 3×410 N right)
- A skateboard (90 N left, 100 N right)
- A car (300 N right, 150 N left)

- Will not accelerate: None of the given items have net force zero? Maybe a mistake in the problem, but based on the given, we assign as above.

Answer:

• Will accelerate to the left:
• A box experiences a 20 N force to the left and a 19 N frictional force to the right
• A box experiences a 20 N force to the left and two different 8 N forces to the right

• Will accelerate to the right:
• A bottle rocket experiences a 500 N force to the right and 300 N of air resistance to the left
• A rope experiences three 400 N forces to the left and three different 410 N forces to the right
• A skateboard is pushed up a hill with a 90 N force to the left and experiences a gravitational force of 100 N to the right
• A car experiences a 300 N force to the right from the engine and separate 150 N force due to air resistance to the left

• Will not accelerate: (No items with net force = 0 from the given list)