What acceleration will you give to a 25.8 kg box if you push it horizontally with a net force of 89.6 N?
F=ma
To determine the acceleration of the box, we can use Newton's second law of motion, which states that the net force acting on 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 net force applied to the object (in Newtons),
m is the mass of the object (in kilograms), and
a is the acceleration of the object (in meters per second squared).
In this case, we are given:
F = 89.6 N (net force)
m = 25.8 kg (mass of the box)
Now we can plug these values into the formula to calculate the acceleration (a):
89.6 N = 25.8 kg * a
To isolate the acceleration, we divide both sides of the equation by 25.8 kg:
a = 89.6 N / 25.8 kg
Using a calculator, we can find the numerical value of the acceleration.
a ≈ 3.47 m/s²
Therefore, if you push the 25.8 kg box horizontally with a net force of 89.6 N, the box will experience an acceleration of approximately 3.47 m/s².