Kai uses 850 N of force to push Joe and his wheelchair. Joe accelerates at 3 m/s2. What is the mass of Joe and his wheelchair? Show your work and use correct units in your answer.(2 points)

Answer 1

To find the mass of Joe and his wheelchair, we can use Newton's second law of motion, which states:

\[ F = m \cdot a \]

where:

• \( F \) is the force applied (in newtons, N),
• \( m \) is the mass (in kilograms, kg),
• \( a \) is the acceleration (in meters per second squared, m/s²).

In this problem, we know:

• \( F = 850 , \text{N} \)
• \( a = 3 , \text{m/s}^2 \)

We want to find \( m \). Rearranging the equation for mass gives us:

\[ m = \frac{F}{a} \]

Now, substituting the known values:

\[ m = \frac{850 , \text{N}}{3 , \text{m/s}^2} \]

Calculating this:

\[ m = \frac{850}{3} \approx 283.33 , \text{kg} \]

Thus, the mass of Joe and his wheelchair is approximately 283.33 kg.