Question

Suppose a block is pulled 16 meters across a floor. What amount of work is done if the force used to drag the block is 22 N?
Question 16 options:

A)

330 J

B)

352J

C)

220 J

D)

200 J

Answer 1

To calculate the work done when pulling a block, you can use the formula:

\[ \text{Work} (W) = \text{Force} (F) \times \text{Distance} (d) \times \cos(\theta) \]

Where:
- \( W \) is the work done (in joules, J),
- \( F \) is the applied force (in newtons, N),
- \( d \) is the distance moved (in meters, m),
- \( \theta \) is the angle between the force and the direction of motion.

Assuming that the force is applied in the same direction as the motion (which means \( \theta = 0^\circ\) and \( \cos(0) = 1 \)), the equation simplifies to:

\[ W = F \times d \]

Given:
- \( F = 22 \, \text{N} \)
- \( d = 16 \, \text{m} \)

Now, plug in the values:

\[ W = 22 \, \text{N} \times 16 \, \text{m} \]
\[ W = 352 \, \text{J} \]

So, the amount of work done is \( 352 \, \text{J} \).

The correct answer is **B) 352 J**.