Until a train is a safe distance from the station, it must travel at 5 m/s. Once the train is on open track, it can speec
1 answer:
Answer:
The acceleration of the train is 5 m/s².
Explanation:
Given:
let the initial velocity of a train = 5 m/s and
final velocity of a train = 45 m/s
time taken = 8 s
To find:
acceleration: ?
Solution:
We define acceleration as change in velocity per unit time that is the difference between the final velocity and initial velocity divided by time.
On substituting the above values we get the required acceleration
Therefore,the acceleration of the train is 5 m/s².
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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 ()
Learn more about inertia:
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