Math Problem Statement
The friction force affecting the body in the opposite figure is
5 N
10 N
20 N
40 N
Solution
To solve this problem, we need to determine the frictional force acting on the object based on the given information. Let's break it down step-by-step:
Information given:
- Mass of the block () = 4 kg
- Applied force () = 50 N
- Acceleration () = 10 m/s²
- Frictional force opposes the motion.
Step 1: Calculate the net force () acting on the object.
Using Newton's second law of motion:
Substituting the given values:
Step 2: Relating the forces.
The net force is the result of the applied force minus the frictional force: Rearranging to find the frictional force:
Substitute the values:
Final Answer:
The frictional force is 10 N.
Let me know if you want further clarification! 😊
Related Questions:
- What is the significance of frictional force in motion problems?
- How does Newton's second law help in analyzing forces?
- What happens if there is no friction in the given scenario?
- How would the result change if the applied force increased to 60 N?
- Can frictional force ever exceed the applied force? Why or why not?
Tip:
Always break down force problems into components using a free-body diagram to identify all acting forces clearly!
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Math Problem Analysis
Mathematical Concepts
Newton's Second Law of Motion
Frictional Forces
Net Force
Formulas
Newton's Second Law: F_net = m * a
Frictional Force: F_friction = F_applied - F_net
Theorems
Newton's Second Law of Motion
Suitable Grade Level
Grades 9-11
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