Physics, 23.01.2020 21:31 originalbeast6p2799m

Acat is on a merry-go-round that completes 1 full rotation in 6 seconds. the cat sits at a radius of 8.4 metres from the centre.
find the minimum coefficient of friction to prevent the cat from sliding off.

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To solve this problem we will use the concepts related to the uniform circular movement from where we will obtain the speed of the object. From there we will go to the equilibrium equations so that the friction force must be equal to the centripetal force. We will clear the value of the coefficient of friction sought.

The velocity from the uniform circular motion can be described as

$v = \frac{2 \pi r}{T}$

Here,

r = Radius

T = Period

Replacing,

$v = \frac{2\pi (8.4)}{6}$

v =8.7964 m/s

From equilibrium to stay in the circle the friction force must be equivalent to the centripetal force, therefore

F_f = F_c

$\mu N = \frac{mv^2}{r}$

Here,

$\mu =$ Coefficient of friction

N = Normal Force

m = mass

v = Velocity

r = Radius

The value of the Normal force is equal to the Weight, then

$\mu(mg) = \frac{mv^2}{r}$

Rearranging to find the coefficient of friction

$\mu = \frac{v^2}{gr}$

Replacing,

$\mu = \frac{(8.7964)^2}{(9.8)(8.4)}$

$\mu =0.9399$

Therefore the minimum coefficient of friction to prevent the cat from sliding off is 0.9399

Answer from: Quest

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

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The best answer is (a) which is universal law is in effect at all times. it is constantly at play in everything we do and governs our lives. it is also important to note that universal law applies to not only everything on earth, but everything in the universe as well, which is another reason why it is in effect at all times.

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Acat is on a merry-go-round that completes 1 full rotation in 6 seconds. the cat sits at a radius of...