Answer:
Explanation:
Tension in the rope in upward direction = 30.2 N .
weight of bucket in downward direction = mg
net force in upward direction = 30.2 - mg
30.2 - 2.89 x 9.8
= 1.878 N
acceleration = net force / mass
= 1.878 / 2.89
= .65 m /s² .
= 65 cm /s²
The acceleration of the bucket will be "65 cm/s²".
Whenever the rope, thread, or cable is expanded underneath an applied force, a force is created in that as well, is a tension force.
Tension acts anywhere along the lengths of the string throughout the opposing directly proportional to the force acting upon that.
According to the question,
Tension in the rope = 30.2 N
Mass of bucket, m = 2.89 kg
Acceleration due to gravity, g = 9.8
Now,
The net force will be:
= Tension - mg
= [tex]30.2-(2.89\times 9.8)[/tex]
= [tex]1.878[/tex] N
hence,
The acceleration of the bucket be:
= [tex]\frac{Net \ force}{Mass}[/tex]
By substituting the values,
= [tex]\frac{1.878}{2.89}[/tex]
= [tex]0.65[/tex] m/s²
or,
= [tex]65[/tex] cm/s²
Thus the above approach is correct.
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