Final answer:
The applied force on a 16 kg mass with an acceleration of 3 m/s² is 48 Newtons. If the same 48 Newton force is applied to a 24 kg object, the acceleration would be 2 m/s².
Step-by-step explanation:
To calculate the applied force on an object with a mass of 16 kg moving with an acceleration of 3 m/s², use Newton's second law of motion, which states that force (F) is equal to the mass (m) of the object multiplied by the acceleration (a) of the object. The formula is F = m × a.
For the given mass of 16 kg and acceleration of 3 m/s²:
F = 16 kg × 3 m/s²
F = 48 N
The applied force on the object is 48 Newtons. If the same force of 48 Newtons is applied to an object of mass 24 kg, the acceleration can be found by rearranging the formula to a = F / m:
a = 48 N / 24 kg
a = 2 m/s²
Hence, the acceleration of the 24 kg object would be 2 m/s².