3.) The 200-kg snowmobile with passenger is traveling down the hill such that when it is at point A, it is traveling at 4 m/s and increasing its speed at 2 m/s². Determine the resultant normal force and the resultant frictional force exerted on the tracks at this instant. Neglect the size of the snowmobile. 10 m 5 m X - y = -5(10-³)x³ Ans. NA 924.8 N = fA= 1232 N (Directed opposite the direction of travel for the snowmobile)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem Statement:**

The 200-kg snowmobile with a passenger is traveling down the hill such that when it is at point A, it is traveling at 4 m/s and increasing its speed at 2 m/s². Determine the resultant normal force and the resultant frictional force exerted on the tracks at this instant. Neglect the size of the snowmobile.

**Diagram Description:**

- The diagram features a slope with a snowmobile positioned on it.
- The slope's curve is defined by the equation \( y = -5(10^{-3})x^3 \).
- Point A, where calculations are to be made, is 10 meters along the x-axis from the origin and 5 meters down the slope.
- Coordinate axes are labeled \( x \) and \( y \).

**Solution:**

Given:
- Mass of snowmobile (including passenger) = 200 kg
- Velocity at point A = 4 m/s
- Acceleration at point A = 2 m/s²

**Answers:**

- Resultant normal force, \( N_A = 924.8 \, \text{N} \)
- Resultant frictional force, \( f_A = 1232 \, \text{N} \) (Directed opposite the direction of travel for the snowmobile)
Transcribed Image Text:**Problem Statement:** The 200-kg snowmobile with a passenger is traveling down the hill such that when it is at point A, it is traveling at 4 m/s and increasing its speed at 2 m/s². Determine the resultant normal force and the resultant frictional force exerted on the tracks at this instant. Neglect the size of the snowmobile. **Diagram Description:** - The diagram features a slope with a snowmobile positioned on it. - The slope's curve is defined by the equation \( y = -5(10^{-3})x^3 \). - Point A, where calculations are to be made, is 10 meters along the x-axis from the origin and 5 meters down the slope. - Coordinate axes are labeled \( x \) and \( y \). **Solution:** Given: - Mass of snowmobile (including passenger) = 200 kg - Velocity at point A = 4 m/s - Acceleration at point A = 2 m/s² **Answers:** - Resultant normal force, \( N_A = 924.8 \, \text{N} \) - Resultant frictional force, \( f_A = 1232 \, \text{N} \) (Directed opposite the direction of travel for the snowmobile)
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