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A child is pulling a wagon across the grass but friction between the grass and wheel creates a force in the opposite direction . If the wagon is speeding up , what does that mean about the two forces ?

Sagot :

ANSWER

The applied force is larger than the frictional force

EXPLANATION

If we draw a free-body diagram,

By Newton's second law, for the horizontal forces is,

[tex]F_a-F_f=m\cdot a[/tex]

If the wagon is speeding up, it means that there is a positive acceleration. Therefore, the difference Fa - Ff is positive,

[tex]\begin{gathered} F_a-F_f>0 \\ \text{therefore} \\ F_a>F_f \end{gathered}[/tex]

Hence, the applied force is greater than the frictional force.

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