whe each eroblem. Sheve vour work thoroughly Remember tos

Show vour equation

Rearrange before vou plua in. (if necessand)

Plua in with units

Give an answec with units

Promortions
29. If the Work done to push a box is 50 Joules a certain distance, how much work is done to push the box if the distance gets divided by three?

Question

whe each eroblem. Sheve vour work thoroughly Remember tos

Show vour equation
Rearrange before vou plua in. (if necessand)
Plua in with units
Give an answec with units

Promortions
29. If the Work done to push a box is 50 Joules a certain distance, how much work is done to push the box if the distance gets divided by three?

UpStudy AI · Accepted Answer

1. **Write the Equation**:  
   The work done is given by  
   $$
   W = F \cdot d
   $$

2. **Rearrange the Equation**:  
   In this problem the force $$ F $$ is constant, so if the distance $$ d $$ is reduced, the work done changes proportionally. When the distance is divided by 3, we have  
   $$
   d' = \frac{d}{3}
   $$

3. **Plug in with Units**:  
   The original work done is  
   $$
   50\ \text{Joules} = F \cdot d
   $$  
   Now, if the distance is divided by 3, the new work $$ W' $$ becomes  
   $$
   W' = F \cdot \frac{d}{3} = \frac{1}{3} (F \cdot d) = \frac{1}{3} \times 50\ \text{Joules} = \frac{50}{3}\ \text{Joules}
   $$

4. **Final Answer with Units**:  
   The work done with the distance divided by three is  
   $$
   \frac{50}{3}\ \text{Joules} \approx 16.67\ \text{Joules}
   $$
The work done when the distance is divided by three is approximately 16.67 Joules.

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