An ambulance with a siren emitting a whine at 1800 hz overtakes and passes a cyclist pedaling a bike at 2.23 m/s. after being pa
1 answer:
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a) Object C (the disk) has the greatest rotational inertia ()
b) Object B (the sphere) has the smallest rotational inertia ()
Explanation:
The moments of inertia of the three objects are the following:
1) For a hoop of negligible thickness, it is
where M is its mass and R its radius. For the hoop in this problem,
M = m
R = r
Therefore, its moment of inertia is
2) For a solid sphere, the moment of inertia is
where M is its mass and R its radius. For the sphere in this problem,
M = 2m
R = r
Therefore, its moment of inertia is
3) For a disk of negligible thickness, the moment of inertia is
where M is its mass and R its radius. For the disk in this problem,
M = 3m
R = r
Therefore, its moment of inertia is
So now we can answer the two questions:
a) Object C (the disk) has the greatest rotational inertia ()
b) Object B (the sphere) has the smallest rotational inertia ()
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Answer:
h = 5.09 m
Explanation:
Applying the Law of conservation of energy to this situation, we can write:
where,
h = height of the hill = ?
v = speed of cart at the end = 10 m/s
g = acceleration due to gravity = 9.81 m/s²
Therefore,
<u>h = 5.09 m</u>