It's a homogeneous mixture
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Answer:
a) 145.6kgm^2
b) 158.4kg-m^2/s
c) 0.76rads/s
Explanation:
Complete qestion: a) the rotational inertia of the merry-go-round about its axis of rotation
(b) the magnitude of the angular momentum of the child, while running, about the axis of rotation of the merry-go-round and
(c) the angular speed of the merry-go-round and child after the child has jumped on.
a) From I = MK^2
I = (160Kg)(0.91m)^2
I = 145.6kgm^2
b) The magnitude of the angular momentum is given by:
L= r × p The raduis and momentum are perpendicular.
L = r × mc
L = (1.20m)(44.0kg)(3.0m/s)
L = 158.4kg-m^2/s
c) The total moment of inertia comprises of the merry- go - round and the child. the angular speed is given by:
L = Iw
158.4kgm^2/s = [145kgm^2 + ( 44.0kg)(1.20)^2]
w = 158.6/208.96
w = 0.76rad/s
Answer:
Number of slices of pizza is 993.
Explanation:
It is given that, in one slice of "everything" pizza there are 650 Calories. The conversion factor from calories to joules is :
1 calorie = 4.184 joules
650 calories = 2719.6 joules
Total energy in the pizza, E = 2700000 J
Let there are n number of slices of pizza. It is given by :
n = 992.79
or
n = 993
So, there are 993 slices of pizza. Hence, this is the required solution.
