A net force of (2.5 N)i hat − (4.7 N)j hat acts on a 3.2 kg object.
Find the acceleration a with arrow.
a = F/m
To find the acceleration of an object, you 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. Mathematically, this can be represented as:
ΣF = m * a
In this case, the net force acting on the object is given as (2.5 N)i hat − (4.7 N)j hat and the mass of the object is 3.2 kg.
To determine the acceleration, we need to isolate the acceleration term in the equation:
a = ΣF / m
Substituting the given values, you can calculate the acceleration as:
a = ((2.5 N)i hat − (4.7 N)j hat) / 3.2 kg
Now, let's perform the vector division:
a = (2.5 N / 3.2 kg)i hat − (4.7 N / 3.2 kg)j hat
And simplify the expression:
a = 0.78125 (N / kg)i hat − 1.46875 (N / kg)j hat
Therefore, the acceleration vector is 0.78125 (N / kg)i hat − 1.46875 (N / kg)j hat.