A sled with total mass m = 46.3 kg is pulled a distance d = 17.1 m across a horizontal surface for which the corficcient of kinetic friction with the sled is = 0.196. The pulling force is constant and makes an angle 0 = 31.2º above the horizontal and the sled moves at a constant velocity. Find an expression for the work done by the pulling force in terms of m, acceleration due to gravity g. 9, P, and d, and use it find the work done in Joules by the pulling force. Find an expression for the work done on the sled by friction in terms of m, acceleration due to gravity g. 8, μ, and d, and use it to find the work done in Joules by the friction force. What is the net work in Joules done on the sled?

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Chapter1: Units, Trigonometry. And Vectors
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A sled with a total mass \( m = 46.3 \, \text{kg} \) is pulled a distance \( d = 17.1 \, \text{m} \) across a horizontal surface, where the coefficient of kinetic friction with the sled is \( \mu_k = 0.196 \). The pulling force is constant and makes an angle \( \theta = 31.2^\circ \) above the horizontal, and the sled moves at a constant velocity.

1. **Expression for Work by Pulling Force**:  
   Find an expression for the work done by the pulling force in terms of \( m \), acceleration due to gravity \( g \), \( \theta \), \( \mu_k \), and \( d \). Use it to find the work done in Joules by the pulling force.

2. **Expression for Work by Friction Force**:  
   Find an expression for the work done on the sled by friction in terms of \( m \), acceleration due to gravity \( g \), \( \theta \), \( \mu_k \), and \( d \). Use it to find the work done in Joules by the friction force.

3. **Net Work on the Sled**:  
   Determine the net work in Joules done on the sled.
Transcribed Image Text:A sled with a total mass \( m = 46.3 \, \text{kg} \) is pulled a distance \( d = 17.1 \, \text{m} \) across a horizontal surface, where the coefficient of kinetic friction with the sled is \( \mu_k = 0.196 \). The pulling force is constant and makes an angle \( \theta = 31.2^\circ \) above the horizontal, and the sled moves at a constant velocity. 1. **Expression for Work by Pulling Force**: Find an expression for the work done by the pulling force in terms of \( m \), acceleration due to gravity \( g \), \( \theta \), \( \mu_k \), and \( d \). Use it to find the work done in Joules by the pulling force. 2. **Expression for Work by Friction Force**: Find an expression for the work done on the sled by friction in terms of \( m \), acceleration due to gravity \( g \), \( \theta \), \( \mu_k \), and \( d \). Use it to find the work done in Joules by the friction force. 3. **Net Work on the Sled**: Determine the net work in Joules done on the sled.
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