Question

in which scenario is the least amount of work done on a crate? a force of 120 n moves it 25 m. a force of 115 n moves it 26 m. a force of 130 n moves it 22 m. a force of 125 n moves it 27 m.

Explanation:

Step1: Recall the work formula

The formula for work is \( W = F \times d \), where \( W \) is work, \( F \) is force, and \( d \) is distance.

Step2: Calculate work for each option

• For the first option: \( W_1 = 120\,\text{N} \times 25\,\text{m} = 3000\,\text{J} \)
• For the second option: \( W_2 = 115\,\text{N} \times 26\,\text{m} = 2990\,\text{J} \)
• For the third option: \( W_3 = 130\,\text{N} \times 22\,\text{m} = 2860\,\text{J} \)
• For the fourth option: \( W_4 = 125\,\text{N} \times 27\,\text{m} = 3375\,\text{J} \)

Step3: Compare the work values

Comparing \( 3000\,\text{J} \), \( 2990\,\text{J} \), \( 2860\,\text{J} \), and \( 3375\,\text{J} \), we see that \( 2860\,\text{J} \) (from the third option) is the smallest.

Answer:

A force of 130 N moves it 22 m.