Patricia stands on a hill at an angle of 30 degrees. there is enough friction to stop her from sliding down the hill. Which free-body diagram shows the forces acting on her?

Patricia stands on a hill at an angle of 30 degrees there is enough friction to stop her from sliding down the hill Which freebody diagram shows the forces acti class=

Respuesta :

Correct free-body diagram is option A)

Explanation:

There are three forces acting on Patricia:

  • Her weight, which is the force of gravitational attraction exerted by the Earth on her, whose magnitude is [tex]mg[/tex] (where m= mass and g= acceleration of gravity). The direction of this force is vertically downward.
  • The normal force, exerted by the plane on Patricia, which acts always up perpendicular to the plane
  • The force of friction, which prevents Patricia from sliding. The force of static friction acts in the direction opposite to the direction of motion if the body is let moving: so here, the force of friction acts up along the plane (parallel to the plane)

Therefore, the correct choice here is option A), because:

  • The weight acts vertically downward
  • The normal force acts perpendicular to the plane
  • The force of friction acts parallel to the plane

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