4. F = 90 N
d=5 m W= ?
7. W= ?
F = 62.6 N
d = 13 m
________
________
________
________
________
________
5. F = 6 N W = 72 J
d = ?
8. W = 13.2 J F = 2 N
d = ?
________
________
________
________
________
________
6. W = 120 J d = 24 m
F = ?
9. W = 136 J d = 27.2 m
F = ?
________
________
________
________
________
________

Let's solve each of the problems one by one using the formula for work:

\[
W = F \cdot d
\]

Where:
- \(W\) is the work in joules (J)
- \(F\) is the force in newtons (N)
- \(d\) is the displacement in meters (m)

### 1. \(F = 90 \, \text{N}, d = 5 \, \text{m}, W = ?\)
Using the formula:

\[
W = 90 \, \text{N} \times 5 \, \text{m} = 450 \, \text{J}
\]

So, \(W = 450 \, \text{J}\).

---

### 2. \(W = ?, F = 62.6 \, \text{N}, d = 13 \, \text{m}\)
Using the formula again:

\[
W = 62.6 \, \text{N} \times 13 \, \text{m} = 813.8 \, \text{J}
\]

So, \(W = 813.8 \, \text{J}\).

---

### 3. \(F = 6 \, \text{N}, W = 72 \, \text{J}, d = ?\)
Rearrange the formula to solve for \(d\):

\[
d = \frac{W}{F} = \frac{72 \, \text{J}}{6 \, \text{N}} = 12 \, \text{m}
\]

So, \(d = 12 \, \text{m}\).

---

### 4. \(W = 13.2 \, \text{J}, F = 2 \, \text{N}, d = ?\)
Rearrange the formula to solve for \(d\):

\[
d = \frac{W}{F} = \frac{13.2 \, \text{J}}{2 \, \text{N}} = 6.6 \, \text{m}
\]

So, \(d = 6.6 \, \text{m}\).

---

### 5. \(W = 120 \, \text{J}, d = 24 \, \text{m}, F = ?\)
Rearrange the formula to solve for \(F\):

\[
F = \frac{W}{d} = \frac{120 \, \text{J}}{24 \, \text{m}} = 5 \, \text{N}
\]

So, \(F = 5 \, \text{N}\).

---

### 6. \(W = 136 \, \text{J}, d = 27.2 \, \text{m}, F = ?\)
Rearrange the formula to solve for \(F\):

\[
F = \frac{W}{d} = \frac{136 \, \text{J}}{27.2 \, \text{m}} = 5 \, \text{N}
\]

So, \(F = 5 \, \text{N}\).

---

Would you like further details or have any questions on any of the solutions? 

### Further Questions:
1. How would the work change if the force was doubled?
2. How does the distance traveled affect the work done when the force is constant?
3. What is the relationship between work and energy in physics?
4. What units are typically used for force, distance, and work in SI?
5. Can work be negative? If so, when?

**Tip**: When calculating work, ensure you use consistent units (newtons for force, meters for distance, joules for work) to avoid conversion errors.

4. F = 90 N d=5 m W= ? 7. W= ? F = 62.6 N d = 13 m __________ 5. F = 6 N W = 72 J d = ? 8. W = 13.2 J F = 2 N d = ? 6. W = 120 J d = 24 m F = ? 9. W = 136 J d = 27.2 m F = ?

Learn how to solve various physics problems involving work, force, and distance. These problems cover the calculation of work using the formula W = F × d, and the determination of force or distance when given other values. Includes examples with different units of measurement for force and distance. Suitable for students in Grades 7-9.

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