a) The custodian needs to apply 200 N of force
b) The custodian needs to apply 115.4 N of force
Explanation:
a)
We can solve this problem by applying Newton's second law: in fact, the net force along the horizontal direction must be equal to the product between the mass of the desk and the horizontal acceleration. Mathematically,
where
is the net force on the horizontal direction, with F being the magnitude of the force applied by the custodian, and
the angle at which the force is applied
m is the mass of the desk
is the horizontal acceleration
In this problem we have:
m = 100 kg
Solving for F, we find the force that the custodian must apply:
b)
In this case, the rope has an angle of with the horizontal: this means that the force is applied at an angle of
with the horizontal.
As before, we can apply Newton's second law:
And we have again
m = 100 kg (mass of the desk)
(horizontal acceleration)
This can be rewritten as
And solving for F, we find
Learn more about Newton's second law:
brainly.com/question/3820012
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