Answer:
(a) ω = 1.57 rad/s
(b) ac = 4.92 m/s²
(c) μs = 0.5
Explanation:
(a)
The angular speed of the merry go-round can be found as follows:
ω = 2πf
where,
ω = angular speed = ?
f = frequency = 0.25 rev/s
Therefore,
ω = (2π)(0.25 rev/s)
<u>ω = 1.57 rad/s
</u>
(b)
The centripetal acceleration can be found as:
ac = v²/R
but,
v = Rω
Therefore,
ac = (Rω)²/R
ac = Rω²
therefore,
ac = (2 m)(1.57 rad/s)²
<u>ac = 4.92 m/s²
</u>
(c)
In order to avoid slipping the centripetal force must not exceed the frictional force between shoes and floor:
Centripetal Force = Frictional Force
m*ac = μs*R = μs*W
m*ac = μs*mg
ac = μs*g
μs = ac/g
μs = (4.92 m/s²)/(9.8 m/s²)
<u>μs = 0.5</u>
Answer:
Most interstellar clouds are much bigger than our solar system.
Explanation:
An interstellar cloud refers:
- It is generally an accumulation of gas, plasma, and dust in our and other galaxies.
- It is basically a denser-than-average region of the interstellar medium (ISM).
Interstellar clouds can be large up to 106 solar masses
It is also often said to be the most massive entities in the galaxy.
Hence
we can say about Interstellar clouds,
They are much bigger than our solar system.
learn more about interstellar clouds here:
<u>brainly.com/question/14726563</u>
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#SPJ4
Answer:
1.327363 m/s
0.00090243 m
Explanation:
u = Initial velocity
v = Final velocity
m = Mass of flea
Energy

The velocity of the flea when leaving the ground is 1.327363 m/s

The flea will travel 0.00090243 m upward
Given required solution
M=10kg W=? W=Fd
v=5.0m/s F=mg
t=2.40s =10*10=100N
S=VT
=5m/s*2.4s
=12m
so W=12*100
W=1200J
Friction is causing the skateboard to stop rolling.