An object rests on an inclined slope. Which of the following statements is true?

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BlackTom AI · Accepted Answer

Question restatement: An object rests on an inclined slope. Which of the following statements is true?
Answer option provided: a. The net force acting on the object is equal to zero

Analysis of the option:
- Understanding the scenario: Since the object is resting on an incline, it is in static equilibrium if it remains at rest. In static equilibrium, the sum of all forces must be zero, both perpendicular and parallel to the slope.
- Force components: Gravity can be decomposed into a component perpendicular to the plane and a component parallel to the plane. The normal force from the plane balances the perpendicular component, while static friction (up to its maximum value) balances the parallel component.
- Net force consideration: If the object is at rest and not accelerating, the net force on the object must be zero. Therefore, the parallel component of gravity is balanced by static friction along the plane, and the perpendicular components are balanced by the normal force, yielding a total net force of zero.

Reason this is correct: Under static conditions on an incline (the object remains at rest), the forces sum to zero, so the net force is indeed zero. This aligns with the concept of static equilibrium where gravity, normal force, and friction balance out.

Why other possibilities might be incorrect (even though not provided here):
- If there were no friction or insufficient friction, the object would slide, and the net force along the plane would be nonzero, contradicting rest. Since the statement asserts the object rests, that scenario is inconsistent with the given fact.
- If there were any unbalanced external force (e.g., an applied push), the object might not be at rest, which would again make the net force nonzero. The given condition of resting implies the absence of such unbalanced forces.
- A statement claiming a nonzero net force would contradict the premise that the object is at rest on the incline.

Notes on options visibility: The provided data lists only one option and an empty set of answer choices. Given the premise that the object rests on the incline, the condition of static equilibrium supports the truth of the provided option. If more options were available, each would need similar analysis to determine whether it aligns with static equilibrium on an incline.

MUF0121 Physics Unit 1 - Semester 2, 2025 4.5 Newton's First Law

An object rests on an inclined slope. Which of the following statements is true?

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