ASVAB · Force and Motion

A 5 kg object is pushed across a level floor with a force of 20 Newtons. What is its acceleration? (Ignore friction.)

Correct answer

4 m/s²

  1. A 0.25 m/s²
  2. B 15 m/s²
  3. C 4 m/s²
  4. D 100 m/s²

Why this is the answer

Newton's Second Law: F = ma. Solve for a: a = F/m = 20 N / 5 kg = 4 m/s². Always check units: Newton = kg·m/s², so N/kg = m/s² ✓. Common ASVAB MC F=ma scenarios: (1) Given mass and acceleration, find force; (2) Given force and mass, find acceleration (this question); (3) Given force and acceleration, find mass; (4) With friction or other opposing forces, NET force = ma. Example with friction: if friction force = 5 N opposing the 20 N push, net force = 15 N, acceleration = 15/5 = 3 m/s². Force units: Newton (SI, kg·m/s²) or pound-force (US customary, kg slugs × ft/s²). Mass vs weight: mass is matter (kg); weight is the force of gravity on mass (W = mg, in N). A 5 kg object weighs 5 × 9.8 = 49 N on Earth, 5 × 1.6 = 8 N on the Moon. Pounds: 'lb' often refers to weight (pound-force, lbf) but sometimes mass (pound-mass, lbm); ASVAB usually uses pounds as weight. Conversions: 1 kg ≈ 2.2 lbs; 1 lb ≈ 4.45 N. Friction: static friction prevents motion (up to a maximum); kinetic friction acts on moving objects (usually less than max static). Coefficient of friction (μ) × normal force = friction force. ASVAB MC may include friction conceptually but rarely calculation with μ.
Source: ASVAB MC, F=ma

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About this topic: Force and Motion

Force and motion questions cover Newton's laws, friction, gravity, acceleration and momentum, usually as pictures of objects being pushed, pulled, dropped or balanced. Identify every force acting before deciding what the object will do. This is one of 13 Mechanical Comprehension questions on force and motion, each with a full explanation on a single study page.

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