The following physics student pushes his lawnmower (m=50 kg) with constant velocity. If the mower is pushed with a force of 150 N as shown, determine the force of friction and the normal force. If the frictional force is removed, find the acceleration of the lawnmower. 55°

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Chapter1: Units, Trigonometry. And Vectors
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**Problem 7:**

A physics student pushes a lawnmower with a mass of 50 kg at a constant velocity. The lawnmower is pushed with a force of 150 N, as shown in the diagram. Determine the force of friction and the normal force acting on the lawnmower. Additionally, if the frictional force is removed, calculate the acceleration of the lawnmower.

**Diagram Explanation:**

The diagram depicts a person pushing a lawnmower. The force applied, labeled \( F \), is 150 N and is directed at an angle of 55° to the horizontal. The lawnmower is represented by a small rectangular box on wheels to illustrate its movement across a horizontal surface. The angle \( 55^\circ \) indicates the angle above the horizontal direction of the applied force.

**Key Concepts:**

- **Force of Friction:** Since the lawnmower moves at constant velocity, the force of friction must equal the horizontal component of the applied force.
- **Normal Force:** The normal force is affected by both the gravitational force on the lawnmower and the vertical component of the applied force.
- **Acceleration Calculation:** If the friction is removed, only the horizontal component of the applied force contributes to the acceleration of the lawnmower.
Transcribed Image Text:**Problem 7:** A physics student pushes a lawnmower with a mass of 50 kg at a constant velocity. The lawnmower is pushed with a force of 150 N, as shown in the diagram. Determine the force of friction and the normal force acting on the lawnmower. Additionally, if the frictional force is removed, calculate the acceleration of the lawnmower. **Diagram Explanation:** The diagram depicts a person pushing a lawnmower. The force applied, labeled \( F \), is 150 N and is directed at an angle of 55° to the horizontal. The lawnmower is represented by a small rectangular box on wheels to illustrate its movement across a horizontal surface. The angle \( 55^\circ \) indicates the angle above the horizontal direction of the applied force. **Key Concepts:** - **Force of Friction:** Since the lawnmower moves at constant velocity, the force of friction must equal the horizontal component of the applied force. - **Normal Force:** The normal force is affected by both the gravitational force on the lawnmower and the vertical component of the applied force. - **Acceleration Calculation:** If the friction is removed, only the horizontal component of the applied force contributes to the acceleration of the lawnmower.
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