If energy cannot go away, why don’t things move forever?)
1 answer:
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Answer:
I = 274.75 kg-m²
Explanation:
given,
mass of horizontal platform = 129 Kg
radius of the disk = 1.51 m
mass of the person(m_p) = 67.5 Kg
standing at distance(r_p) = 1.09 m
mass of dog(m_d) = 25.3 Kg
sitting near the person(r_d) = 1.37 m from center
moment of inertia = ?
Moment of inertia of disc =
Moment of inertia of the system
I = 274.75 kg-m²
Acceleration is given by:
where
v is the final velocity
u is the initial velocity
t is the time interval
Let's apply the formula to the different parts of the problem:
A)
Let's convert the quantities into SI units first:
t = 4.0 min = 240 s
So the acceleration is
B)
As before, let's convert the quantities into SI units first:
t = 94 s
So the acceleration is
C)
For this part we have to use a different formula:
where we have
v = 0 is the final velocity
u = 89.2 m/s is the initial velocity
a is the acceleration
d = 75 m is the distance covered
Solving for a, we find