Questions: A child pulls a sled with constant speed pulling the rope at an angle of 30° to the horizontal and drags the sled for 100 m. The friction coefficient is 0.30. What work did the friction force do if the sled's mass is 9.9 kg? Express your answer with the appropriate units.

A child pulls a sled with constant speed pulling the rope at an angle of 30° to the horizontal and drags the sled for 100 m. The friction coefficient is 0.30. What work did the friction force do if the sled's mass is 9.9 kg? Express your answer with the appropriate units.
Transcript text: Part A A child pulls a sled with constant speed pulling the rope at an angle of $30^{\circ}$ to the horizontal and drags the sled for 100 m . The friction coefficient is 0.30 . What work did the friction force do if the sled's mass is 9.9 kg ? Express your answer with the appropriate units. Submit Request Answer
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Solution

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Solution Steps

Step 1: Calculate the normal force

The normal force (N) is equal to the weight of the sled minus the vertical component of the pulling force. Since the sled is moving at a constant speed, the vertical component of the pulling force is equal to the force applied * sin(30). However, since there are no information about the applied force, we can assume there is no vertical component from the applied force. This simplifies the problem and leaves us with only the sled's weight. The weight is given by mass * gravity, where the mass is 9.9 kg and gravity is 9.8 m/s². So, N = 9.9 kg * 9.8 m/s² = 97.02 N.

Step 2: Calculate the friction force

The friction force (Ff) is equal to the friction coefficient (μ) multiplied by the normal force (N). The friction coefficient is given as 0.30. So, Ff = 0.30 * 97.02 N = 29.11 N.

Step 3: Calculate the work done by friction

Work (W) done by friction is equal to the friction force (Ff) multiplied by the distance (d) the sled is dragged, multiplied by -1, because the friction force acts opposite to the direction of motion. The distance is given as 100 m. So, W = -Ff * d = -29.11 N * 100 m = -2911 J

Final Answer:

-2911 J

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