a) Force exerted by the rope on the crate is equal to 312 N.
b) Force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s² is 472N.
<h3>What is force?</h3>
In science, a force is a push or a pull in a specific direction. When one object interacts with another object, forces are created.
In physics, arrows are used to represent forces. An arrow pointing in the same direction will indicate the force's direction.
Given,
mass of a crate, m = 40 kg
Acceleration of crate, a = 2 m/s²
a) As carte is falling down, net force exerted by rope on the carte is given by : F = m(g-a)
F = 40(9.8-2)
F = 312 N
∴ required force exerted by the rope on the crate is equal to 312 N.
b) If the crate was raised with an acceleration of 2.0 m/s², than:
F = m(g+a)
F = 40 (9.8 + 2)
F = 472 N
∴ required force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s² is 472N.
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