You push with a force of 22.5 N on a loaded shopping cart that has a total mass of 80 kg. What is the acceleration of the cart?
A= f/m
22.5/80=?
To find the acceleration of the cart, 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. Mathematically, it can be expressed as:
F = m * a
Where:
F is the net force applied to the object,
m is the mass of the object, and
a is the acceleration of the object.
In this case, the net force applied to the cart is the force you are pushing it with, which is 22.5 N. The mass of the cart is given as 80 kg. We can substitute these values into the equation to find the acceleration:
22.5 N = 80 kg * a
Now, rearranging the equation to solve for a (acceleration):
a = 22.5 N / 80 kg
a ≈ 0.28125 m/s²
Therefore, the acceleration of the cart is approximately 0.28125 m/s².