Two friends are trying to move a heavy desk. Sally is pulling on it with a rope at 30 degrees above the horizontal, while Bob is pushing on the other side at 20 degrees (slightly downward and forward). Sally pulls with a force of 150 N and Bob pushes with a force of 180 N. The desk is 25 kg and the coefficient of kinetic friction between the desk and floor is 0.80. Bob 200 Sally 30⁹0, a) What is the acceleration of the desk? b) If the desk starts at rest at t=0, how far has it moved 2 seconds later?

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**Problem Statement:**

Two friends are trying to move a heavy desk. Sally is pulling on it with a rope at 30 degrees above the horizontal, while Bob is pushing on the other side at 20 degrees (slightly downward and forward). Sally pulls with a force of 150 N and Bob pushes with a force of 180 N. The desk is 25 kg and the coefficient of kinetic friction between the desk and floor is 0.80.

**Diagram Explanation:**

- The diagram shows a rectangular desk with two force vectors acting on it.
- Bob's force is represented by an arrow at a 20-degree angle below the horizontal, labeled "Bob."
- Sally's force is represented by another arrow at a 30-degree angle above the horizontal, labeled "Sally."

**Questions:**

a) What is the acceleration of the desk?

b) If the desk starts at rest at t=0, how far has it moved 2 seconds later?
Transcribed Image Text:**Problem Statement:** Two friends are trying to move a heavy desk. Sally is pulling on it with a rope at 30 degrees above the horizontal, while Bob is pushing on the other side at 20 degrees (slightly downward and forward). Sally pulls with a force of 150 N and Bob pushes with a force of 180 N. The desk is 25 kg and the coefficient of kinetic friction between the desk and floor is 0.80. **Diagram Explanation:** - The diagram shows a rectangular desk with two force vectors acting on it. - Bob's force is represented by an arrow at a 20-degree angle below the horizontal, labeled "Bob." - Sally's force is represented by another arrow at a 30-degree angle above the horizontal, labeled "Sally." **Questions:** a) What is the acceleration of the desk? b) If the desk starts at rest at t=0, how far has it moved 2 seconds later?
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