Newton's 2nd Law stipulates that "the sum of all forces acting on an object are equal to the mass times the acceleration of that object." Given the force diagram below, calculate the acceleration of the object (both magnitude and direction). The object is the smiley face, which has a mass of 18.2 kg (it's a very heavy smiley face). FPush = 42.0 N Fg = Weight
Newton's 2nd Law stipulates that "the sum of all forces acting on an object are equal to the mass times the acceleration of that object." Given the force diagram below, calculate the acceleration of the object (both magnitude and direction). The object is the smiley face, which has a mass of 18.2 kg (it's a very heavy smiley face). FPush = 42.0 N Fg = Weight
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![**Understanding Newton's Second Law of Motion: A Force Diagram**
*Newton's 2nd Law stipulates that "the sum of all forces acting on an object are equal to the mass times the acceleration of that object."*
Given the force diagram below, calculate the acceleration of the object (both magnitude and direction). The object is the smiley face, which has a mass of 18.2 kg (it's a very heavy smiley face).
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**Diagram Explanation:**
The diagram features a smiley face representing an object with two forces acting on it:
1. **F_push:** A horizontal force of 42.0 N directed to the left.
2. **F_g:** The weight of the object, acting vertically downward.
To determine the acceleration, use the formula from Newton's 2nd Law:
\[ F_{\text{net}} = m \cdot a \]
Where:
- \( F_{\text{net}} \) is the net force.
- \( m \) is the mass (18.2 kg).
- \( a \) is the acceleration.
Calculate the net force by considering all horizontal and vertical forces, then solve for acceleration. Note that the vertical force does not affect horizontal acceleration unless specified otherwise.
This analysis provides a practical understanding of how forces apply to real-world objects in motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ac4d50d-ffd4-4dcb-9d33-d2fd2043efb4%2F4568f6ee-ee93-447a-85fb-32783e1441ef%2Ffmokceu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Newton's Second Law of Motion: A Force Diagram**
*Newton's 2nd Law stipulates that "the sum of all forces acting on an object are equal to the mass times the acceleration of that object."*
Given the force diagram below, calculate the acceleration of the object (both magnitude and direction). The object is the smiley face, which has a mass of 18.2 kg (it's a very heavy smiley face).
---
**Diagram Explanation:**
The diagram features a smiley face representing an object with two forces acting on it:
1. **F_push:** A horizontal force of 42.0 N directed to the left.
2. **F_g:** The weight of the object, acting vertically downward.
To determine the acceleration, use the formula from Newton's 2nd Law:
\[ F_{\text{net}} = m \cdot a \]
Where:
- \( F_{\text{net}} \) is the net force.
- \( m \) is the mass (18.2 kg).
- \( a \) is the acceleration.
Calculate the net force by considering all horizontal and vertical forces, then solve for acceleration. Note that the vertical force does not affect horizontal acceleration unless specified otherwise.
This analysis provides a practical understanding of how forces apply to real-world objects in motion.
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