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Ludmilka [50]
2 years ago
10

A merry-go-round has a small box placed on it at a distance R' from its axis of

Physics
1 answer:
Lady_Fox [76]2 years ago
7 0

The time after it starts spinning, that the box will slip off is 0.1 s.

<h3>Apply the principle of conservation of angular momentum</h3>

I₁ω₁ - I₂ω₂ = 0

I₁ω₁  =  I₂ω₂

where;

  • I₁ is initial moment of inertia
  • I₂ is final moment of inertia
  • ω₁ is initial angular speed
  • ω₂ is final angular speed

The final angular speed when the box slides off;

ω₂ = I₁ω₁ / I₂

ω₂  = [0.5(m₁ + m₂)(R + r)²] / (0.5MR²)

ω₂  = [0.5(30 + 0.3)(3.1 + 1.4)²] / (0.5 x 30 x 3.1²)

ω₂  = 2.13 rad/s

Time taken for the for box to slide off;

τ = Iα

τ = I(ω/t)

τ = (Iω)/t

t =  (Iω)/τ

t = (0.5 x 0.3 x 1.4² x 2.13)/6

t = 0.1 s

Thus, the time after it starts spinning, that the box will slip off is 0.1 s.

Learn more about moment of inertia here: brainly.com/question/3406242

#SPJ1

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Answer:

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How much work do you need to do if you use a force of 3 Newtons to move a table 25 meters?
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The work needed if a force of 3N is used to move a table 25 metres is 75Nm (joules).

<h3>How to calculate work done?</h3>

Work is a measure of energy expended in moving an object. This means that no work is done if the object does not move.

Force is a physical quantity that denotes the ability to push, pull, twist or accelerate a body and which has a direction and is measured in Newtons.

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