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calculate the acceleration in each of the following situations. 1. a bo…

Question

calculate the acceleration in each of the following situations.

  1. a bowling ball with a mass of 7.2 kg is rolled with a force of 108 n.

m/s²

  1. a soccer ball with a mass of 0.45 kg is kicked with a force of 22.5 n.

m/s²

  1. a golf ball with a mass of 0.05 kg is struck with a force of 3 n.

m/s²

  1. a baseball with a mass of 0.15 kg is hit with a force of 6 n.

m/s²

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, so $a=\frac{F}{m}$

Step2: Solve for the acceleration of the bowling ball

Given $F = 108N$ and $m = 7.2kg$, then $a_1=\frac{108}{7.2}=15m/s^{2}$

Step3: Solve for the acceleration of the soccer ball

Given $F = 22.5N$ and $m = 0.45kg$, then $a_2=\frac{22.5}{0.45}=50m/s^{2}$

Step4: Solve for the acceleration of the golf ball

Given $F = 3N$ and $m = 0.05kg$, then $a_3=\frac{3}{0.05}=60m/s^{2}$

Step5: Solve for the acceleration of the baseball

Given $F = 6N$ and $m = 0.15kg$, then $a_4=\frac{6}{0.15}=40m/s^{2}$

Answer:

  1. $15$
  2. $50$
  3. $60$
  4. $40$