Math Problem Statement
Solution
The problem states that you are pushing a 200 kg boulder up a hill with a force of 90 N applied up and to the left. Based on the question and the diagram choices:
- The correct diagram must depict a 90 N force applied at an angle up and to the left, rather than directly horizontal or vertical.
- The 200 kg label indicates the object's weight, which is not part of the force direction in this case but still represents its mass.
Correct Answer:
The middle diagram shows the force 90 N at an upward and leftward angle, which aligns with the problem's description.
Would you like a breakdown of why the other options are incorrect or more details about force diagrams? Here are five related questions to consider:
- How is the resultant force calculated when multiple forces act on an object at angles?
- How does the force of gravity factor into pushing an object up a slope?
- What additional forces (e.g., friction, normal force) might act on the boulder in this scenario?
- How do you calculate the acceleration of the boulder if only this 90 N force acts on it?
- What is the relationship between the angle of the applied force and its effectiveness in moving the boulder?
Tip: Always resolve forces into components (e.g., horizontal and vertical) when analyzing force diagrams!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Force diagrams
Vector components
Newton's Laws of Motion
Formulas
Force components: F_x = F * cos(θ), F_y = F * sin(θ)
Newton's second law: F = ma
Theorems
Vector resolution theorem
Newton's second law of motion
Suitable Grade Level
Grades 9-12
Related Recommendation
Solving Newton's Second Law with Force Diagrams
Will a 20 kg box remain at rest with a 100 N angled force applied?
Physics Problem: Force and Motion on an Inclined Plane with Constant Speed
Solving Force Equilibrium Problems for Suspended Objects and Inclined Planes
Projectile Motion: 10 kg Weight with 10 N Applied at 45 Degrees