Question

A flight attendant pulls a suitcase 250.0 m along a level airport floor with a force of 30.0 n at an angle of 50.0 above the horizontal. How much force is done on the flight bag

Answer 1

4820.9 J of work is done on the flight bag.

Step-by-step explanation:

Given:

Force acting on the bag is,
`F=30.0\ N`

Displacement of the bag caused by the force is,
`S=250.0\ m`

Angle between the direction of force and direction of displacement caused is,
`\theta = 50\°`

Now, the formula to calculate work done on a body by a force 'F' causing displacement 'S' at an angle
`\theta` between the two vectors is given as:

`W=FS\cos \theta`

Plug in the given values and solve for work done 'W'. This gives,

`W=(30.0\ N)(250.0\ m)(\cos 50)\\W=4820.9 \textrm{ N-m or 4820.9 J}`

Therefore, the work done on the flight bag is 4820.9 J.