### Problem Statement:A 173-lb snowboarder has speed \( v = 15 \, \text{ft/sec} \) when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value \( \mu_k = 0.06 \) for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center \( G \) of the snowboarder is 2.2 feet from the surface of the snow.### Illustration:The diagram illustrates a snowboarder in a halfpipe. The snowboarder is located on the curved side of the halfpipe with the following details:- The angle of inclination at the point of interest is 27°.- The radius from the center of the halfpipe to the point where the snowboarder is located is 21 feet.### Answers:The problem provides the following solutions:- The normal force \( N \) is 2682.49 lb.- The total acceleration \( a \) is 27.756 ft/sec².### Detailed Diagram Description:- The snowboarder is depicted moving along the left side of a halfpipe, with the center of gravity \( G \) indicated.- The angle formed by the tangent at the snowboarder’s position and the horizontal is 27°.- The radius from the center of the pipe to the snowboarder's position is indicated as 21 feet.

Answered: Image /qna-images/answer/723849f3-79a3-42c2-9666-f13bbc12c39d.jpg

A 173-lb snowboarder has speed v = 15 ft/sec when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value HK = 0.06 for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center G of the snowboarder is 2.2 feet from the surface of the snow.

A 173-lb snowboarder has speed v = 15 ft/sec when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value HK = 0.06 for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center G of the snowboarder is 2.2 feet from the surface of the snow.

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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Conservation of Energy

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Question

### Problem Statement:
A 173-lb snowboarder has speed \( v = 15 \, \text{ft/sec} \) when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value \( \mu_k = 0.06 \) for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center \( G \) of the snowboarder is 2.2 feet from the surface of the snow.

### Illustration:
The diagram illustrates a snowboarder in a halfpipe. The snowboarder is located on the curved side of the halfpipe with the following details:

- The angle of inclination at the point of interest is 27°.
- The radius from the center of the halfpipe to the point where the snowboarder is located is 21 feet.

### Answers:
The problem provides the following solutions:

- The normal force \( N \) is 2682.49 lb.
- The total acceleration \( a \) is 27.756 ft/sec².

### Detailed Diagram Description:
- The snowboarder is depicted moving along the left side of a halfpipe, with the center of gravity \( G \) indicated.
- The angle formed by the tangent at the snowboarder’s position and the horizontal is 27°.
- The radius from the center of the pipe to the snowboarder's position is indicated as 21 feet.

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A 173-lb snowboarder has speed v = 15 ft/sec when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value HK = 0.06 for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center G of the snowboarder is 2.2 feet from the surface of the snow. 27° G 21' Answers N = a = i i 21' lb ft/sec²
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