Question

4.0 kg
the bat experiences a reaction force of +78 n.
what is the acceleration of the bat?
+78 n -78 n
remember f = ma
-156 m/s² +19.5 m/s²
-19.5 m/s² +156 m/s²

Explanation:

Step1: Recall the formula \( F = ma \)

We know that \( F = ma \), so we can solve for acceleration \( a \) by rearranging the formula to \( a=\frac{F}{m} \).

Step2: Identify the values of \( F \) and \( m \)

The mass \( m \) of the bat is \( 4.0 \, \text{kg} \), and the force \( F \) acting on the bat is \( +78 \, \text{N} \).

Step3: Substitute the values into the formula

Substitute \( F = 78 \, \text{N} \) and \( m = 4.0 \, \text{kg} \) into \( a=\frac{F}{m} \). So \( a=\frac{78}{4.0} \).

Step4: Calculate the acceleration

\( \frac{78}{4.0}=19.5 \, \text{m/s}^2 \). Since the force is positive, the acceleration is also positive.

Answer:

+19.5 m/s²