**Problem 6:** In the scenario depicted in Figure 5-30, three forces are acting on a tire: Alex pulls with a force \( \vec{F}_A \) of magnitude 220 N, and Charles pulls with a force \( \vec{F}_C \) of magnitude 170 N. Note that the direction of \( \vec{F}_C \) is not given. Determine the magnitude of Betty's force \( \vec{F}_B \). *Diagram Explanation:* The diagram shows a circular object with three forces acting on it. There are angles marked around the circle, with one specifically being 137°. --- **Problem 17:** In Figure 5-36, let the mass of the block be 8.5 kg and the angle \( \theta \) be 30°. Find: (a) the tension in the cord, (b) the normal force acting on the block, (c) if the cord is cut, find the magnitude of the resulting acceleration of the block. *Diagram Explanation:* The figure shows a block on a ramp inclined at an angle of 30°. A force is acting on the block parallel to the ramp, with "Frictionless" labeled beside the ramp. --- **Problem 34:** In Figure 5-40, a crate of mass \( m = 100 \) kg is pushed at constant speed up a frictionless ramp (\( \theta = 30.0° \)) by a horizontal force \( \vec{F} \). What are the magnitudes of: (a) \( \vec{F} \) and (b) the force on the crate from the ramp? *Diagram Explanation:* This figure illustrates a crate on a ramp inclined at a 30° angle. A force is applied horizontally to the crate, keeping it in motion up the frictionless incline.

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Chapter1: Units, Trigonometry. And Vectors
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I'm trying to find out number 17

**Problem 6:**
In the scenario depicted in Figure 5-30, three forces are acting on a tire: Alex pulls with a force \( \vec{F}_A \) of magnitude 220 N, and Charles pulls with a force \( \vec{F}_C \) of magnitude 170 N. Note that the direction of \( \vec{F}_C \) is not given. Determine the magnitude of Betty's force \( \vec{F}_B \).

*Diagram Explanation:*
The diagram shows a circular object with three forces acting on it. There are angles marked around the circle, with one specifically being 137°.

---

**Problem 17:**
In Figure 5-36, let the mass of the block be 8.5 kg and the angle \( \theta \) be 30°. Find:
(a) the tension in the cord,
(b) the normal force acting on the block,
(c) if the cord is cut, find the magnitude of the resulting acceleration of the block.

*Diagram Explanation:*
The figure shows a block on a ramp inclined at an angle of 30°. A force is acting on the block parallel to the ramp, with "Frictionless" labeled beside the ramp.

---

**Problem 34:**
In Figure 5-40, a crate of mass \( m = 100 \) kg is pushed at constant speed up a frictionless ramp (\( \theta = 30.0° \)) by a horizontal force \( \vec{F} \). What are the magnitudes of:
(a) \( \vec{F} \) and
(b) the force on the crate from the ramp?

*Diagram Explanation:*
This figure illustrates a crate on a ramp inclined at a 30° angle. A force is applied horizontally to the crate, keeping it in motion up the frictionless incline.
Transcribed Image Text:**Problem 6:** In the scenario depicted in Figure 5-30, three forces are acting on a tire: Alex pulls with a force \( \vec{F}_A \) of magnitude 220 N, and Charles pulls with a force \( \vec{F}_C \) of magnitude 170 N. Note that the direction of \( \vec{F}_C \) is not given. Determine the magnitude of Betty's force \( \vec{F}_B \). *Diagram Explanation:* The diagram shows a circular object with three forces acting on it. There are angles marked around the circle, with one specifically being 137°. --- **Problem 17:** In Figure 5-36, let the mass of the block be 8.5 kg and the angle \( \theta \) be 30°. Find: (a) the tension in the cord, (b) the normal force acting on the block, (c) if the cord is cut, find the magnitude of the resulting acceleration of the block. *Diagram Explanation:* The figure shows a block on a ramp inclined at an angle of 30°. A force is acting on the block parallel to the ramp, with "Frictionless" labeled beside the ramp. --- **Problem 34:** In Figure 5-40, a crate of mass \( m = 100 \) kg is pushed at constant speed up a frictionless ramp (\( \theta = 30.0° \)) by a horizontal force \( \vec{F} \). What are the magnitudes of: (a) \( \vec{F} \) and (b) the force on the crate from the ramp? *Diagram Explanation:* This figure illustrates a crate on a ramp inclined at a 30° angle. A force is applied horizontally to the crate, keeping it in motion up the frictionless incline.
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