Question

the 80 kg person experiences -40 n of reaction force from the ball. what is the acceleration of the person? remember: f = ma +4 m/s² -4 m/s² -0.5 m/s² +0.5 m/s²

Explanation:

Step1: Recall the formula

We know the formula \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration. We need to solve for \( a \), so we can rearrange the formula to \( a=\frac{F}{m} \).

Step2: Identify values

The mass of the person \( m = 80\space kg \) and the force \( F=- 40\space N \) (the negative sign indicates the direction of the force).

Step3: Calculate acceleration

Substitute the values of \( F \) and \( m \) into the formula \( a=\frac{F}{m} \). So \( a=\frac{- 40\space N}{80\space kg}=- 0.5\space m/s^{2} \).

Answer:

\(-0.5\space m/s^{2}\) (corresponding to the option \(-0.5\space m/s^{2}\))