Consider a lawnmower of mass m which can slide across a horizontal surface with a coefficient of friction µ. In this problem the lawnmower is pushed using a massless handle, which makes an angle 0 with the horizontal. Assume that Fn, the force exerted by the nandle, is parallel to the handle. Take the positive x direction to be to the right and the postive y direction to be upward. Use g for the magnitude of the acceleration due to gravity. Part A Find the magnitude, Fh, of the force required to slide the lawnmower over the ground at constant speed by pushing the handle. Express the required force in terms of given quantities. You did not open hints for this part. ANSWER: Fh =

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Chapter1: Units, Trigonometry. And Vectors
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**Consider a lawnmower of mass \( m \) which can slide across a horizontal surface with a coefficient of friction \( \mu \). In this problem, the lawnmower is pushed using a massless handle, which makes an angle \( \theta \) with the horizontal. Assume that \( \vec{F_h} \), the force exerted by the handle, is parallel to the handle.**

**Take the positive \( x \) direction to be to the right and the positive \( y \) direction to be upward. Use \( g \) for the magnitude of the acceleration due to gravity.**

### Part A
**Find the magnitude, \( F_h \), of the force required to slide the lawnmower over the ground at constant speed by pushing the handle.**

**Express the required force in terms of given quantities.**

**You did not open hints for this part.**

**ANSWER:**

\[ F_h = \]

---

### Diagram Description:
The diagram illustrates a red lawnmower being pushed by a handle. The handle forms an angle \( \theta \) with the horizontal. The force \( \vec{F_h} \) exerted by the handle is shown as a vector along the direction of the handle. The base of the lawnmower is shown in contact with the ground, indicating that it slides across the horizontal surface.
Transcribed Image Text:**Consider a lawnmower of mass \( m \) which can slide across a horizontal surface with a coefficient of friction \( \mu \). In this problem, the lawnmower is pushed using a massless handle, which makes an angle \( \theta \) with the horizontal. Assume that \( \vec{F_h} \), the force exerted by the handle, is parallel to the handle.** **Take the positive \( x \) direction to be to the right and the positive \( y \) direction to be upward. Use \( g \) for the magnitude of the acceleration due to gravity.** ### Part A **Find the magnitude, \( F_h \), of the force required to slide the lawnmower over the ground at constant speed by pushing the handle.** **Express the required force in terms of given quantities.** **You did not open hints for this part.** **ANSWER:** \[ F_h = \] --- ### Diagram Description: The diagram illustrates a red lawnmower being pushed by a handle. The handle forms an angle \( \theta \) with the horizontal. The force \( \vec{F_h} \) exerted by the handle is shown as a vector along the direction of the handle. The base of the lawnmower is shown in contact with the ground, indicating that it slides across the horizontal surface.
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