A 10N (weight) falling object encounters 8.0N of air resistance. What is the mass of the...
A 10N (weight) falling object encounters 8.0N of air resistance.
What is the mass of the object?
What is the acceleration?
Homework Answers
We can start by using the formula for net force:
Net force = mass x acceleration
In this case, the net force is the weight minus the air resistance:
Net force = 10 N - 8.0 N = 2.0 N
We know that the acceleration due to gravity is approximately 9.81 m/s^2. Therefore, we can calculate the mass of the object as:
mass = net force / acceleration
mass = 2.0 N / 9.81 m/s^2 = 0.204 kg (to three significant figures)
So the mass of the object is 0.204 kg.
To find the acceleration, we can rearrange the formula to solve for acceleration:
acceleration = net force / mass
acceleration = 2.0 N / 0.204 kg = 9.80 m/s^2 (to three significant figures)
Therefore, the acceleration of the object is 9.80 m/s^2.
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