. An unbalanced force of 500 N is applied to a 75 kg object. What is the acceleration of the object?
1 answer:
The acceleration of the object is
Explanation:
We can solve the problem by using Newton's second law, which states that the net force exerted on an object is equal to the product between the mass of the object and its acceleration:
where
F is the net force
m is the mass of the object
a is its acceleration
For the object in this problem,
F = 500 N is the applied force
m = 75 kg is the force
Solving the equation for a, we find the acceleration:
Learn more about Newton's second law:
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Explanation:
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a) 1.57 m/s
The sock spins once every 2.0 seconds, so its period is
T = 2.0 s
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The linear speed of the sock is given by
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is the angular velocity
r = 0.50 m is the radius of the circular path of the sock
Substituting, we find:
B) Faster
In this case, the drum is twice as wide, so the new radius of the circular path of the sock is twice the previous one:
At the same time, the drum spins at the same frequency as before, therefore the angular frequency as not changed:
Therefore, the new linear speed would be:
And substituting,
So, we see that the linear speed has doubled.