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What is the acceleration of a 15 kg object pushed with a force of 30 N?Select one:a.45 m/s²b.0.5 m/s²c.15 m/s²d.2 m/s²

Question

What is the acceleration of a 15 kg object pushed with a force of 30 N?

Select one:

  • a. 45 m/s²
  • b. 0.5 m/s²
  • c. 15 m/s²
  • d. 2 m/s²
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Solution

Break Down the Problem

  1. Identify the mass of the object: m=15kg m = 15 \, \text{kg}
  2. Identify the applied force: F=30N F = 30 \, \text{N}
  3. Use Newton's second law of motion: F=ma F = m \cdot a , where a a is the acceleration.

Relevant Concepts

  • Newton's Second Law states that the acceleration a a of an object is directly proportional to the net force F F acting on it and inversely proportional to its mass m m : a=Fm a = \frac{F}{m}

Analysis and Detail

  1. Rearranging the formula to calculate acceleration: a=Fm=30N15kg a = \frac{F}{m} = \frac{30 \, \text{N}}{15 \, \text{kg}}
  2. Perform the calculation: a=2m/s2 a = 2 \, \text{m/s}^2

Verify and Summarize

  • The calculation has been verified. By using Newton’s second law, the acceleration of the 15 kg object pushed with a force of 30 N is indeed 2 m/s².

Final Answer

The correct answer is d. 2 m/s².

This problem has been solved

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