A 200 kg motorcycle accelerates at 4 m/s2. What is the magnitude of the force required to produce this acceleration?Group of answer choices3200N0.02 N800 N50 N

1. Break Down the Problem

To determine the magnitude of the force required to accelerate the motorcycle, we will use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). Therefore, the problem can be broken down into:

• Identify the mass of the motorcycle.
• Identify the acceleration.
• Apply the formula $F = m \cdot a$.

2. Relevant Concepts

The relevant formula we will use is: $F = m \cdot a$ where:

• $F$ is the force,
• $m$ is the mass,
• $a$ is the acceleration.

3. Analysis and Detail

We have:

• Mass $m = 200 \, \text{kg}$
• Acceleration $a = 4 \, \text{m/s}^2$

Now, substituting the values into the formula: $F = 200 \, \text{kg} \cdot 4 \, \text{m/s}^2$ Calculating the force: $F = 800 \, \text{kg} \cdot \text{m/s}^2 = 800 \, \text{N}$

4. Verify and Summarize

Our calculations indicate that the force required to accelerate the motorcycle is 800 N. This verifies with our input values and application of the formula is accurate.

Final Answer

The magnitude of the force required to produce this acceleration is 800 N.