A box rests on a frozen pond, which serves as a frictionless horizontal surface.
If a fisherman applies a horizontal force with magnitude 44.0 N to the box and produces an acceleration of magnitude 2.80 m/s^{2}, what is the mass of the box?
To find the mass of the box, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Mathematically, it can be expressed as:
F = m * a
Where:
F is the force applied (44.0 N)
m is the mass of the box (unknown)
a is the acceleration (2.80 m/s^2)
Rearranging the equation, we have:
m = F / a
Substituting the given values into the equation:
m = 44.0 N / 2.80 m/s^2
m ≈ 15.714 kg
Therefore, the mass of the box is approximately 15.714 kg.
To find the mass of the box, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
The formula for Newton's second law is:
F = m * a
where:
F is the force applied (44.0 N),
m is the mass of the box (unknown),
and a is the acceleration produced (2.80 m/s^2).
To find the mass of the box, divide both sides of the equation by the acceleration (a):
m = F / a
Now we can substitute the given values:
m = 44.0 N / 2.80 m/s^2
m ≈ 15.71 kg
Therefore, the mass of the box is approximately 15.71 kg.