Question
You use 70N of force to move a couch 5m. How much work did you do?
*
14N
350J
350N
14J
*
14N
350J
350N
14J
Answers
GPT-4o mini
To calculate the work done, you can use the formula:
\[ \text{Work} = \text{force} \times \text{distance} \times \cos(\theta) \]
In your case, if the force is applied in the same direction as the movement of the couch, the angle \( \theta \) is \( 0 \) degrees, and \( \cos(0) = 1 \). So, the formula simplifies to:
\[ \text{Work} = \text{force} \times \text{distance} \]
Plugging in the values:
- Force = 70 N
- Distance = 5 m
\[ \text{Work} = 70 \, \text{N} \times 5 \, \text{m} = 350 \, \text{J} \]
So, the amount of work done is **350 J**.
\[ \text{Work} = \text{force} \times \text{distance} \times \cos(\theta) \]
In your case, if the force is applied in the same direction as the movement of the couch, the angle \( \theta \) is \( 0 \) degrees, and \( \cos(0) = 1 \). So, the formula simplifies to:
\[ \text{Work} = \text{force} \times \text{distance} \]
Plugging in the values:
- Force = 70 N
- Distance = 5 m
\[ \text{Work} = 70 \, \text{N} \times 5 \, \text{m} = 350 \, \text{J} \]
So, the amount of work done is **350 J**.