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

Answer:

4820.9 J of work is done on the flight bag.

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.