Answer:
54.4 m
Explanation:
The work done by the mother in pushing the carriage is equal to:
[tex]W=Fdcos \theta[/tex]
where
F is the force applied
d is the displacement of the carriage
[tex]\theta[/tex] is the angle between the direction of the force and the displacement
In this problem, we have the following data:
[tex]F=62.0 N[/tex] is the force
[tex]W = 2920 J[/tex] is the work done
[tex]\theta=30.0^{\circ}[/tex] is the angle between the direction of the force and the displacement
Re-arranging the equation above and substituting data, we find the displacement:
[tex]d=\frac{W}{F cos \theta}=\frac{2920 J}{(62.0 N)(cos 30^{\circ})}=54.4 m[/tex]
