The cart travelled a distance of 14.4 m
Explanation:
The work done by a force when pushing an object is given by:
[tex]W=Fd cos \theta[/tex]
where:
F is the magnitude of the force
d is the displacement
[tex]\theta[/tex] is the angle between the direction of the force and the displacement
In this problem we have:
W = 157 J is the work done on the cart
F = 10.9 N is the magnitude of the force
[tex]\theta=0^{\circ}[/tex], assuming the force is applied parallel to the motion of the cart
Therefore we can solve for d to find the distance travelled by the cart:
[tex]d=\frac{W}{F cos \theta}=\frac{157}{(10.9)(cos 0)}=14.4 m[/tex]
Learn more about work:
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