If a mass of 1 kg is accelerated 1 m/s
2 by a
force of 1 N, what would be the acceleration
of a 42 kg mass acted on by a force of 42 N?
as usual, F=ma
42N = 42kg * a
a = 1 ms^2
To find the acceleration of a mass, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
To determine the acceleration, we can use the formula:
acceleration (a) = force (F) / mass (m)
For the first scenario, we have a 1 kg mass being accelerated by a force of 1 N. Using the formula, we can calculate the acceleration:
a = F / m
a = 1 N / 1 kg
a = 1 m/s²
So, the acceleration of a 1 kg mass acted upon by a force of 1 N is 1 m/s².
Now, let's apply this principle to the second scenario. We have a 42 kg mass being acted upon by a force of 42 N. Again, we can use the formula to find the acceleration:
a = F / m
a = 42 N / 42 kg
a = 1 m/s²
Therefore, the acceleration of a 42 kg mass acted upon by a force of 42 N is also 1 m/s².
In both scenarios, the acceleration remains constant at 1 m/s².