A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest and reaches the bottom in 1.67 s. The mass of the book bag is 3.60 kg, the length of the slide is 3.70 m and the angle of incline is 28.0°. (Assume the +x-axis to be parallel to and down the slide. For all values, enter the magnitude only.)

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Chapter1: Units, Trigonometry. And Vectors
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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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### Physics Problem: Analyzing Motion on an Inclined Plane

A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest and reaches the bottom in **1.67 seconds**. The mass of the book bag is **3.60 kg**, the length of the slide is **3.70 meters**, and the angle of incline is **28.0°**. (Assume the +x-axis to be parallel to and down the slide. For all values, enter the magnitude only.)

#### Questions:

(a) **With what acceleration (in m/s²) does the bag go down the slide?**  
   \[ \text{Acceleration:} \quad \_\_\_\_ \, \text{m/s}^2 \]

(b) **What is the friction force (in Newtons) acting on the bag?**  
   \[ \text{Friction force:} \quad \_\_\_\_ \, \text{N} \]

(c) **What is the coefficient of kinetic friction between the bag and the slide?**  
   \[ \text{Coefficient of kinetic friction:} \quad \_\_\_\_ \]

(d) **What is the speed (in m/s) of the bag when it reaches the bottom of the slide?**  
   \[ \text{Speed:} \quad \_\_\_\_ \, \text{m/s} \]

These questions prompt students to apply concepts of physics, such as Newton's laws of motion, friction, and kinematics, to solve real-world problems involving inclined planes.
Transcribed Image Text:### Physics Problem: Analyzing Motion on an Inclined Plane A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest and reaches the bottom in **1.67 seconds**. The mass of the book bag is **3.60 kg**, the length of the slide is **3.70 meters**, and the angle of incline is **28.0°**. (Assume the +x-axis to be parallel to and down the slide. For all values, enter the magnitude only.) #### Questions: (a) **With what acceleration (in m/s²) does the bag go down the slide?** \[ \text{Acceleration:} \quad \_\_\_\_ \, \text{m/s}^2 \] (b) **What is the friction force (in Newtons) acting on the bag?** \[ \text{Friction force:} \quad \_\_\_\_ \, \text{N} \] (c) **What is the coefficient of kinetic friction between the bag and the slide?** \[ \text{Coefficient of kinetic friction:} \quad \_\_\_\_ \] (d) **What is the speed (in m/s) of the bag when it reaches the bottom of the slide?** \[ \text{Speed:} \quad \_\_\_\_ \, \text{m/s} \] These questions prompt students to apply concepts of physics, such as Newton's laws of motion, friction, and kinematics, to solve real-world problems involving inclined planes.
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