Question

what force is needed to give a 4.5 kg bowling ball an acceleration of 9 m/s²?

○ 0.5 n

○ 2 n

○ 36.5 n

○ 40.5 n

Explanation:

Step1: Recall Newton's Second Law

Newton's second law states that force \( F \) is equal to mass \( m \) multiplied by acceleration \( a \), so the formula is \( F = m \times a \).

Step2: Substitute the given values

We know the mass \( m = 4.5 \, \text{kg} \) and acceleration \( a = 9 \, \text{m/s}^2 \). Substituting these into the formula: \( F = 4.5 \, \text{kg} \times 9 \, \text{m/s}^2 \).

Step3: Calculate the force

\( 4.5 \times 9 = 40.5 \), so the force \( F = 40.5 \, \text{N} \).

Answer:

40.5 N (corresponding to the option: 40.5 N)