moving a box with 250 joules of work when you

moved it 5 meters, it took you 2 seconds.

You can calculate the force applied to move the box, the power used, and the speed using the provided information:

1. **Work (W)** = 250 joules  
2. **Distance (d)** = 5 meters  
3. **Time (t)** = 2 seconds

### Step 1: Calculate Force (F)
Work is related to force and distance through the equation:

\[
W = F \cdot d
\]

Rearranging for force:

\[
F = \frac{W}{d} = \frac{250 \, \text{J}}{5 \, \text{m}} = 50 \, \text{N}
\]

So, the force applied to move the box is **50 N**.

### Step 2: Calculate Power (P)
Power is the rate at which work is done. The formula is:

\[
P = \frac{W}{t}
\]

Substituting the given values:

\[
P = \frac{250 \, \text{J}}{2 \, \text{s}} = 125 \, \text{W}
\]

So, the power used is **125 watts**.

### Step 3: Calculate Speed (v)
To find the speed, use the distance and time:

\[
v = \frac{d}{t} = \frac{5 \, \text{m}}{2 \, \text{s}} = 2.5 \, \text{m/s}
\]

So, the speed is **2.5 m/s**.

### Summary:
- Force applied: **50 N**
- Power: **125 W**
- Speed: **2.5 m/s**

Would you like more details on any of these calculations?

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Here are some related questions:
1. What happens to the power if the time is doubled?
2. How would increasing the distance to 10 meters affect the force required?
3. What is the kinetic energy of the box if it’s moving at 2.5 m/s?
4. How would the result change if the work done were 500 joules instead of 250 joules?
5. How does the mass of the box affect the amount of force required?

**Tip:** Power can be increased either by doing more work or reducing the time to complete the work!

moving a box with 250 joules of work when you moved it 5 meters, it took you 2 seconds.

Learn how to calculate the force, power, and speed involved in moving a box with 250 joules of work over a distance of 5 meters in 2 seconds. This problem demonstrates key physics concepts such as work, power, and speed. Suitable for students in Grades 9-10.

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