A man wants to accelerate a child on a sled. The combined mass of the child and the sled is 30.0 kg, and the coefficient of kinetic friction between the snow and the sled is 0.150. In case (1), the man applies a force of 200.0 Newtons at an angle of 30.0° below the horizontal. In case (2), he applies the same force at an angle of 30.0° above the horizontal. What is the acceleration of the sled in each case? (1) (2) 730 F 30°

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**Problem 23**

A man wants to accelerate a child on a sled. The combined mass of the child and the sled is 30.0 kg, and the coefficient of kinetic friction between the snow and the sled is 0.15. In case (1), the man applies a force of 200 Newtons at an angle of 30.0° below the horizontal. In case (2), he applies the same force at an angle of 30.0° above the horizontal. What is the acceleration of the sled in each case?

**Diagrams Explained:**

- **Photographs:**
  - Image (1): Shows a man applying a force at a 30.0° angle downward to the sled.
  - Image (2): Shows a man applying a force at a 30.0° angle upward to the sled.

- **Graphic:**
  - A block on a ramp with an angle labeled as 25°, indicating a typical mechanics problem setup involving angles and forces. However, the connection to the text is unclear, as the problem concerns forces directly applied to a sled on a horizontal surface. 

The task is to calculate the acceleration for each scenario, considering the angle of force application and friction.
Transcribed Image Text:**Problem 23** A man wants to accelerate a child on a sled. The combined mass of the child and the sled is 30.0 kg, and the coefficient of kinetic friction between the snow and the sled is 0.15. In case (1), the man applies a force of 200 Newtons at an angle of 30.0° below the horizontal. In case (2), he applies the same force at an angle of 30.0° above the horizontal. What is the acceleration of the sled in each case? **Diagrams Explained:** - **Photographs:** - Image (1): Shows a man applying a force at a 30.0° angle downward to the sled. - Image (2): Shows a man applying a force at a 30.0° angle upward to the sled. - **Graphic:** - A block on a ramp with an angle labeled as 25°, indicating a typical mechanics problem setup involving angles and forces. However, the connection to the text is unclear, as the problem concerns forces directly applied to a sled on a horizontal surface. The task is to calculate the acceleration for each scenario, considering the angle of force application and friction.
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