A force of 30 N accelerates an object with a mass of 1218 g. What is the acceleration of the objects in m/s2, correct to one decimal place?
Question
A force of 30 N accelerates an object with a mass of 1218 g. What is the acceleration of the objects in m/s2, correct to one decimal place?
Solution
First, we need to convert the mass from grams to kilograms because the standard unit of mass in physics is kilograms.
1 kg = 1000 g
So, 1218 g = 1218/1000 = 1.218 kg
Next, we use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. Mathematically, this is expressed as:
a = F/m
where: a is the acceleration, F is the force, and m is the mass of the object.
Substituting the given values into this equation gives:
a = 30 N / 1.218 kg = 24.63157894736842 m/s²
Rounding this to one decimal place gives an acceleration of 24.6 m/s².
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