Grade 11Mechanics
What is the net force acting on a 3900-1b automobile accelerating at 13 ft/s2?
What is the net force acting on a 3900-1b automobile accelerating at 13 ft/s2?
1 Answer
Aditi Chauhan
We can solve this using Newton's Second Law of Motion:
F = m × a
Where:
F = net force (in pounds-force, lbf)
m = mass of the object (in slugs)
a = acceleration (in ft/s²)
Step 1: Convert the weight to mass
Weight (W) is related to mass by the relation:
W = m × g
Where:
W = weight in pounds (lbf)
m = mass in slugs
g = acceleration due to gravity (32.17 ft/s²)
Rearranging for mass:
m = W / g
m = 3900 lbf / 32.17 ft/s²
m ≈ 121.26 slugs
Step 2: Calculate the net force
Now use Newton's second law:
F = m × a
F = 121.26 slugs × 13 ft/s²
F ≈ 1576.4 lbf
Final Answer:
The net force acting on the automobile is approximately 1576.4 lbf.
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