### Physics Problem on Forces and AccelerationAn object of mass $ m = 1.00 \, \text{kg} $ is observed to have an acceleration $ \vec{a} $ with a magnitude of $ 24.2 \, \text{m/s}^2 $ in a direction $ \theta = 59.5^\circ $ east of north. The figure below shows a view of the object from above. The force $ \vec{F}_2 $ acting on the object has a magnitude of $ 12.3 \, \text{N} $ and is directed north. Determine the magnitude and direction of the force $ \vec{F}_1 $ acting on the object.**Input Fields:**- **Magnitude:** [Text box for input] N- **Direction:** [Drop-down menu for direction selection]#### Diagram Explanation:- **m:** A square representing the object.- **$ \vec{F}_2 $:** An upward arrow (blue) originating from the object, representing the force acting north with a magnitude of $ 12.3 \, \text{N} $.- **$ \vec{F}_1 $:** A rightward arrow (blue) originating from the object, representing the force whose magnitude and direction need to be determined.- **$ \vec{a} $:** A diagonal arrow (purple) at an angle $ \theta $ of $ 59.5^\circ $ east of north, representing the acceleration of the object with a magnitude of $ 24.2 \, \text{m/s}^2 $.Use the given data and figure to solve for the required force $ \vec{F}_1 $, considering the provided information and applying relevant physics principles such as Newton's Second Law of Motion and vector resolution.

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An object of mass m = 1.00 kg is observed to have an acceleration of a with a magnitude of 24.2 m/s2 in a direction 6 = 59.5° east of north. The figure below shows a view of the object from above. The force F, acting on the object has a magnitude of 12.3 N and is directed north. Determine the magnitude and direction of the force F, acting on the object. magnitude N direction ---Select--- m F

An object of mass m = 1.00 kg is observed to have an acceleration of a with a magnitude of 24.2 m/s2 in a direction 6 = 59.5° east of north. The figure below shows a view of the object from above. The force F, acting on the object has a magnitude of 12.3 N and is directed north. Determine the magnitude and direction of the force F, acting on the object. magnitude N direction ---Select--- m F

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### Physics Problem on Forces and Acceleration

An object of mass $ m = 1.00 \, \text{kg} $ is observed to have an acceleration $ \vec{a} $ with a magnitude of $ 24.2 \, \text{m/s}^2 $ in a direction $ \theta = 59.5^\circ $ east of north. The figure below shows a view of the object from above. The force $ \vec{F}_2 $ acting on the object has a magnitude of $ 12.3 \, \text{N} $ and is directed north. Determine the magnitude and direction of the force $ \vec{F}_1 $ acting on the object.

**Input Fields:**
- **Magnitude:** [Text box for input] N
- **Direction:** [Drop-down menu for direction selection]

#### Diagram Explanation:
- **m:** A square representing the object.
- **$ \vec{F}_2 $:** An upward arrow (blue) originating from the object, representing the force acting north with a magnitude of $ 12.3 \, \text{N} $.
- **$ \vec{F}_1 $:** A rightward arrow (blue) originating from the object, representing the force whose magnitude and direction need to be determined.
- **$ \vec{a} $:** A diagonal arrow (purple) at an angle $ \theta $ of $ 59.5^\circ $ east of north, representing the acceleration of the object with a magnitude of $ 24.2 \, \text{m/s}^2 $.

Use the given data and figure to solve for the required force $ \vec{F}_1 $, considering the provided information and applying relevant physics principles such as Newton's Second Law of Motion and vector resolution.

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