Newton's second law states that [tex]F=m \times a[/tex] (Force is mass times acceleration). Out of the given options, “a 10 kg ball thrown with a 50 Newton force”, an example have the greatest acceleration.
Explanation:
To do the calculation, we already have the formula given derived from Newton’s second law of motion. To know the acceleration, we can simply modify the formula as,
[tex]\text { Force }=\text { mass } \times \text { acceleration }[/tex]
[tex]\text {acceleration}=\frac{\text {Force}}{\text {mass}}[/tex]
For the 10kg ball threw in 50N, we have mass = 10 kg and Force = 50 N
Acceleration = [tex]\frac{50}{10}=5 \mathrm{m} / \mathrm{s}^{2}[/tex]
Similarly for 1 kg ball threw in 0.5N, substituting the values, we get ,
Acceleration = [tex]\frac{0.5}{1} = 0.5 \mathrm{m} / \mathrm{s}^{2}[/tex]
For launching 50kg student by catapult of 100N,
acceleration = [tex]\frac{100}{50}=2 m / s^{2}[/tex]
For accelerating 500 kg car in 1000N engine,
acceleration = [tex]\frac{1000}{500} = 2 m / s^{2}[/tex]
