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Sergio039
3 months ago
15

A 72.0-kg person pushes on a small doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is loc

ated 0.800 m from axis of the frictionless hinges of the door. The door begins to rotate with an angular acceleration of 2.00 rad/s2. What is the moment of inertia of the door about the hinges?
Physics
1 answer:
Yuliya22 [3.3K]3 months ago
3 0

To tackle this issue it is essential to use principles related to Torque and Inertia.

Torque is defined as the force exerted at a certain radius, meaning

\tau = F*r

Substituting our values we calculate

\tau = 5*0.8

\tau = 4N.m

On the other hand, Inertia is described as being inversely proportional to angular acceleration and directly proportional to torque, which means

I = \frac{\tau}{\alpha}

I = \frac{4}{2}

I = 2 kg.m^2

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A 1,300 kg wrecking ball hits the building at 1.07 m/s2.
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7 0
3 months ago
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A force on a particle depends on position such that F(x) = (3.00 N/m2)x2 + (6.00 N/m)x for a particle constrained to move along
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The work performed by the particle traveling from x = 0 to x = 2 m totals 20 J.

Details:

The force impacting a particle, which is restricted to the x-axis, is expressed as follows:

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We need to calculate the work done on a particle moving from x = 0.00 m to x = 2.00 m.

The formula for the work done by the particle is defined as:

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Consequently, the work executed by the particle between x = 0 and x = 2 m amounts to 20 J. Thus, this is the solution sought.

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4 months ago
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