Answer:
23.98 rpm
Explanation:
d = diameter of merry-go-round = 2.4 m
r = radius of merry-go-round = (0.5) d = (0.5) (2.4) = 1.2 m
m = mass of merry-go-round = 270 kg
I = moment of inertia of merry-go-round
Moment of inertia of merry-go-round is given as
I = (0.5) m r² = (0.5) (270) (1.2)² = 194.4 kgm²
M = mass of john = 34 kg
Moment of inertia of merry-go-round and john together after jump is given as
I' = (0.5) m r² + M r² = 194.4 + (34) (1.2)² = 243.36 kgm²
w = final angular speed
w₀ = initial angular speed of merry-go-round = 20 rpm = 2.093 rad/s
v = speed of john before jump
using conservation of angular momentum
Mvr + I w₀ = I' w
(34) (5) (1.2) + (194.4) (2.093) = (243.36) w
w = 2.51 rad/s
w = 23.98 rpm
The maximum force of static friction is the product of normal force (P) and the coefficient of static friction (c). In a flat surface, normal force is equal to the weight (W) of the body.
P = W = mass x acceleration due to gravity
P = (0.3 kg) x (9.8 m/s²) = 2.94 kg m/s² = 2.94 N
Solving for the static friction force (F),
F = P x c
F = (2.94 N) x 0.6 = 1.794 N
Therefore, the maximum force of static friction is 1.794 N.
force goes as 1/d^2 ... (2d)^2 => 4d^2 ...
C) decrease by a factor of four
Answer:
Explanation:
Ions are formed when an atom of an element that lacks stable configuration or octet configuration, looses or gains electrons to attain stability.
Magnesium atom contains 12 electrons, with an electron configuration of 2:8:2. Therefore, it requires to loose two electrons to attain stability, thus forming an ion. During ion formation, the number of protons and neutrons are not affected thus they do not change.
Therefore; Magnesium atom contain 12 electrons, 12 protons and 12 Neutrons. While magnesium atom contains 12 protons, 10 electrons, and 12 neutrons.
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Well, the quantity alone doesn't point to any one particular process.
I mean, you could get 3.826 x 10²⁶ watts of heat out of a pile of
smoldering charcoal IF the pile was big enough and you kept it
supplied with enough oxygen.
The thing about the sun is that ==> it can churn out energy at that rate
from the mass that it has, ==> it has already been doing that for so many
billions of years, and ==> it will continue doing that for so many more
billions of years in the future.
The only possible process able to accomplish that is nuclear fusion.