A child drags a 0.398 kg toy dog across flatground at constant speed, with a 4.63 N forceat a 63.0° angle. What is the component ofthe force of friction along the direction ofmotion on the toy?

A child drags a 0398 kg toy dog across flatground at constant speed with a 463 N forceat a 630 angle What is the component ofthe force of friction along the dir class=

Respuesta :

The force acting on the toy is,

[tex]F=4.63\text{ N}[/tex]

As the toy is moving with the constant speed,

So acceleration of the toy is zero.

According to the Newton's Law,

[tex]\begin{gathered} F_{net}=ma \\ F_{net}=0 \end{gathered}[/tex]

Thus, the force acting in the horizontal direction is equal to the friction force acting on the toy.

[tex]\begin{gathered} F_{friction}=-F\cos (63^{\circ}) \\ F_{friction}=-4.63\times\cos (63^{\circ}) \\ F_{friction}=-2.10\text{ N} \end{gathered}[/tex]

Thus, the force of friction acting on the toy is 2.10 N in the opposite direction of the motion of the toy.