What is the resultant(net) force needed to accelerate a 400 kg object by 2.5 m/s2?Group of answer choices1000 N160 N2500 N400 N

1. Break Down the Problem

We need to find the resultant force required to accelerate a 400 kg object at an acceleration of 2.5 m/s². To do this, we can use Newton's Second Law of Motion, which states that $F = m \cdot a$, where:

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

2. Relevant Concepts

Using the formula from Newton's Second Law: $F = m \cdot a$

3. Analysis and Detail

Let’s plug in the values:

• $m = 400$ kg
• $a = 2.5$ m/s²

Now, calculate the force: $F = 400 \, \text{kg} \cdot 2.5 \, \text{m/s}^2$

Calculating the values: $F = 1000 \, \text{N}$

4. Verify and Summarize

The calculated force of 1000 N is derived from direct application of the formula. As all values were inserted correctly, this confirms that the resultant force needed to accelerate the object is indeed accurate.

Final Answer

The resultant net force needed is 1000 N.