# Using Force Diagrams (Grades 11-12)

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## Using Force Diagrams

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

What are the horizontal and vertical components of a resultant force, [math]F=468N[/math] acting at an [math]ang30deg[/math] measured from the positive y-axis?

2.

Dontae needs to drag a 75kg crate across the floor with a coefficient of friction, [math]mu_s=0.25[/math]. He wants to pull the crate with a rope at a [math]ang30deg[/math] from the surface of the floor, while keeping the crate at a vertical equilibrium. What is the minimum tension force, [math]F_T[/math], necessary to overcome the force of friction, if he is pulling at that angle?

3.

Marcie is trying to push a 750N box across the floor with just her foot. She applies a horizontal force of 450N but cannot seem to get it moving. What is the resistive force of friction and the normal force of the floor on the box? Draw a free-body diagram of the scenario as part of your answer.

4.

If the [math]F_"norm"", "A= 288N[/math], [math]F_"fric"", "D=-93N[/math] (negative is to the left), and the [math]F_"net"=-60N[/math] (to the left), calculate [math]F_"app"[/math], B, and [math]F_g[/math], C acting on the object. Explain your answer.

5.

If the [math]F_"norm"", "A=411.6N[/math], the [math]F_"fric"", "D=290N[/math], and the [math]F_"net"=0N[/math], calculate the magnitudes of [math]C[/math], the [math]F_g[/math], and the applied force, [math]B[/math]. Explain your answer.

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