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3 years ago

Can y’all please help

Physics

1 answer:

TiliK225 [7]3 years ago

5 0

Answer:

<em>The cat's speed when it slid off the table was 2.53 m/s</em>

Explanation:

<u>Horizontal Motion</u>

When an object is thrown horizontally at a speed v, from a height h, it describes a curved path ruled by gravity, until it hits the ground.

the range or maximum horizontal distance traveled by the object can be calculated as follows:

$\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}$

The situation described in the problem fits into the concept of a horizontal launch when the cat slides off the table and gets to the ground some distance ahead.

It's given the range as d=1.3m and the height h=1.3 m, thus we can find the cat's speed by solving the equation for v:

$\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}$

Where $g=9.81\ m/s^2$

Substituting values:

$\displaystyle v=1.3\cdot\sqrt{\frac {9.81}{2\cdot 1.3}}$

$\displaystyle v=1.3\cdot\sqrt{\frac {9.81}{2.6}}$

Calculating:

v = 2.53 m/s

The cat's speed when it slid off the table was 2.53 m/s

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What is Moment of inertia?

The term "moment of inertia" refers to a physical quantity that quantifies a body's resistance to having its speed of rotation along an axis changed by the application of a torque (turning force). The axis might be internal or exterior, fixed or not.

A) The moment of inertia about an axis passing through the point where the two segments meet is $I_A=\frac{1}{12} M L^2$ given that the rod is bent at the center and distance from all the points to the axis remains the same, the moment of inertia about the center will remain the same.

B) Determine the moment of inertia about an axis passing through the point midpoint of the line which connects the two ends

First step: determine the distance between the ends ( d )

After applying Pythagoras theorem $\mathrm{d}=\frac{\sqrt{2}}{2} L$

Next step : determine distance between the two axis $(\mathrm{x})$

After applying Pythagoras theorem

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Final step : Calculate the value of $\mathrm{I}_{\mathrm{x}}$

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