Verified answer

• According to Newton's second law of motion, force (F) is equal to mass (m) multiplied by acceleration (a), or

[tex]\sf{~~~~~{\boxed{F = m × a}}}[/tex]

• In the first scenario, we have a force that produces an acceleration of [tex]\sf{5 {m/s}^{2}}[/tex] in a body with a mass of [tex]\sf{5 kg}[/tex]. So, using the formula, we can calculate the force as

[tex]\sf{{~~~~~{\Longrightarrow{F = 5 kg × 5 m/s^2 = 25 N}}}}[/tex]

• Now, if we apply the same force of 25 N to a body with a mass of 10 kg, we can rearrange the formula to solve for the acceleration. It would be a

[tex]\sf{~~~~~{\Longrightarrow{F / m = {\frac{25 N }{10 kg}= 2.5 m/s^2}}}}[/tex]

• Therefore, the acceleration produced in the body with a mass of 10 kg would be [tex]\sf{2.5 m/s^2}[/tex].The larger mass causes a smaller acceleration, but it's still influenced by the same force.