**Transcription for Educational Website:**---**Physics Problems Involving Force and Motion****1. Tractor and Sled Problem**A tractor is hitched to a sled loaded with firewood, as shown in the diagram. The total weight of the sled and load is 14,700 N. The tractor exerts a constant force \( \vec{F} \) with magnitude 5000 N at an angle of 36.9° above the horizontal. A constant 3500 N friction force opposes the sled’s motion. To move the sled a distance of 220 m, a total of 1000 kJ of work must be done on the sled.- **a.** Draw the free body diagram of forces acting on the sled.- **b.** What is the speed of the sled after covering 200 m?- **c.** Suppose the sled’s initial speed is 2.00 m/s. What is its final speed, \( v_f \)?**Diagram Explanation:**- The diagram shows a tractor pulling a sled with firewood, represented by a dashed line and a sled icon.- The force \( \vec{F} \) of 5000 N is shown at an angle of 36.9°. Components are broken into horizontal and vertical forces.- Arrows indicate the direction of forces: the pulling force, gravitational force, normal force, and friction force.**2. Rock Throw Problem**You throw a 100 N rock into the air from ground level and observe that, when it is 14.0 m high, it is traveling upward at 25.0 m/s.---**Note:**The handwritten notes on the page show calculations related to the problem. Here's a brief explanation:- **Problem 1a:** Components of force are analyzed. The horizontal component is shown, labeled as \( F \cos(36.9°) \).- **Problem 2:** Calculation of mass using \( F = mg \) is shown. Given \( m = \frac{F}{g} = \frac{14700 \, \text{N}}{9.80 \, \text{m/s}^2} \approx 1.5 \times 10^{3} \, \text{kg} \).These diagrams and notes are integral to solving physics problems related to force and motion.

Given Weight of sled and the load W= mg=14700N Magnitude of force that tractor exerts FT =5000N Angle at which the tractor exerts the force from horizontal @=36.9° Friction force on sled=Ff =3500Na) to draw free body diagram sledge and loadb) to calculate mass of the loaded sled Let m be the mass of loaded sled. W= mg m= W/g m= 14700/9.8 kg m= 1500 kg m= 1.5 × 103 kgc) to find sleds final speed vf if initial speed of the sled is given vo=2 m/s Let's find the acceleration of sled a From Newton's second law of motion F= ma Where F= total force on sled and load m= mass of sled and load F= FTcos36.9° - Ff F=5000×0.80 -3500 N F= 4000-3500 N F= 500 N a= F/m = 500÷(1500) m/s2 a= 0.3 m/s2 Total distance travelled d=20 m Using vf2 - vo2 = 2ad vf2 - 4 = 2× 0.3× 20 vf2 = 4+12 vf2 = 16 m2/s2 vf = 4 m/s. Please post 2nd question again in order to get the answer as per the guideline rules. Thank you.

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L A tractor is hitched to a sled loaded with firewood as shown. The total weight of the sled and load is 14700 N. The tractor exerts a constant force F, with magnitude 5000N at an angle of = 36.9° above the horizontal. A constant 3500-N friction force opposes the motion. To drag the sled a distance of 20.0 m, a total of 10.0 kJ of work must be done on the sled. a. Draw the free body diagram of forces acting on the sled. b. What is the mass of the loaded sled? c. Suppose the sled's initial speed, vo, is 2.00 m/s. What is its final speed, vr,? Free hody clagram

L A tractor is hitched to a sled loaded with firewood as shown. The total weight of the sled and load is 14700 N. The tractor exerts a constant force F, with magnitude 5000N at an angle of = 36.9° above the horizontal. A constant 3500-N friction force opposes the motion. To drag the sled a distance of 20.0 m, a total of 10.0 kJ of work must be done on the sled. a. Draw the free body diagram of forces acting on the sled. b. What is the mass of the loaded sled? c. Suppose the sled's initial speed, vo, is 2.00 m/s. What is its final speed, vr,? Free hody clagram

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Transcription for Educational Website:**

---

**Physics Problems Involving Force and Motion**

**1. Tractor and Sled Problem**

A tractor is hitched to a sled loaded with firewood, as shown in the diagram. The total weight of the sled and load is 14,700 N. The tractor exerts a constant force \( \vec{F} \) with magnitude 5000 N at an angle of 36.9° above the horizontal. A constant 3500 N friction force opposes the sled’s motion. To move the sled a distance of 220 m, a total of 1000 kJ of work must be done on the sled.

- **a.** Draw the free body diagram of forces acting on the sled.
- **b.** What is the speed of the sled after covering 200 m?
- **c.** Suppose the sled’s initial speed is 2.00 m/s. What is its final speed, \( v_f \)?

**Diagram Explanation:**

- The diagram shows a tractor pulling a sled with firewood, represented by a dashed line and a sled icon.
- The force \( \vec{F} \) of 5000 N is shown at an angle of 36.9°. Components are broken into horizontal and vertical forces.
- Arrows indicate the direction of forces: the pulling force, gravitational force, normal force, and friction force.

**2. Rock Throw Problem**

You throw a 100 N rock into the air from ground level and observe that, when it is 14.0 m high, it is traveling upward at 25.0 m/s.

---

**Note:**

The handwritten notes on the page show calculations related to the problem. Here's a brief explanation:

- **Problem 1a:** Components of force are analyzed. The horizontal component is shown, labeled as \( F \cos(36.9°) \).
- **Problem 2:** Calculation of mass using \( F = mg \) is shown. Given \( m = \frac{F}{g} = \frac{14700 \, \text{N}}{9.80 \, \text{m/s}^2} \approx 1.5 \times 10^{3} \, \text{kg} \).

These diagrams and notes are integral to solving physics problems related to force and motion.

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