What happens to the acceleration of an object if the net force acting on it is d

Practice Questions

Q1
What happens to the acceleration of an object if the net force acting on it is doubled while its mass remains constant?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

What happens to the acceleration of an object if the net force acting on it is doubled while its mass remains constant?
  • Step 1: Understand the formula F = ma, where F is the net force, m is the mass, and a is the acceleration.
  • Step 2: Identify that if the net force (F) is doubled, we can write it as 2F.
  • Step 3: Since the mass (m) remains constant, we can rewrite the formula with the new force: 2F = m * a_new.
  • Step 4: Compare the original formula F = ma with the new one 2F = m * a_new.
  • Step 5: From the original formula, we know F = ma, so we can substitute F in the new equation: 2(ma) = m * a_new.
  • Step 6: Simplify the equation: 2m * a = m * a_new.
  • Step 7: Since mass (m) is constant and not zero, we can divide both sides by m: 2a = a_new.
  • Step 8: This shows that the new acceleration (a_new) is double the original acceleration (a).
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