The force acting on the 400 kg mass is 20 N and the force acting on the 40 kg mass is 2 N. What can be said about the acceleration of the two masses?Group of answer choicesThe bigger mass undergoes a bigger accelerationThe acceleration of both masses are equal in magnitudeThe smaller mass undergoes a smaller accelerationThe smaller mass undergoes a bigger acceleration
Question
The force acting on the 400 kg mass is 20 N and the force acting on the 40 kg mass is 2 N. What can be said about the acceleration of the two masses?Group of answer choicesThe bigger mass undergoes a bigger accelerationThe acceleration of both masses are equal in magnitudeThe smaller mass undergoes a smaller accelerationThe smaller mass undergoes a bigger acceleration
Solution
The acceleration of an object is given by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula for this is:
Acceleration (a) = Force (F) / Mass (m)
Let's calculate the acceleration for both masses:
For the 400 kg mass: a = F/m = 20 N / 400 kg = 0.05 m/s²
For the 40 kg mass: a = F/m = 2 N / 40 kg = 0.05 m/s²
So, the acceleration of both masses are equal in magnitude.
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