Question

you use 70N of force to move a couch 5 meters how much work did you do?

Answer 1

Work is calculated using the formula:

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

where:
- Work is in joules (J),
- Force is in newtons (N),
- Distance is in meters (m),
- \(\theta\) is the angle between the force and the direction of movement.

Assuming the force is applied in the same direction as the movement of the couch (so \(\theta = 0\) degrees), the cosine of 0 degrees is 1.

Using the given values:
- Force = 70 N
- Distance = 5 m

Plugging in the values:

\[ \text{Work} = 70 \, \text{N} \times 5 \, \text{m} \times \cos(0) \]
\[ \text{Work} = 70 \, \text{N} \times 5 \, \text{m} \times 1 \]
\[ \text{Work} = 350 \, \text{J} \]

So, you did 350 joules of work.