A wire 1.0 m long experiences a magnetic force of 0.50 N due to a
1 answer:
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The concepts required to solve this problem are those related to the conservation of the angular momentum and the moment of inertia of the disk. We will begin by calculating the moment of inertia of the disc, then the moment of inertia of the disc after the two two blocks hits and sticks to the edges of the turn table. In the end we will apply the conservation theorem.
The radius is given as,
When a block falls from above and sticks to the turn table, the moment inertia of the turntable increases.
Since two blocks are stick to the turn table, the total final moment of inertia of the turntable is the sum moment of inertias of individual turntable, and two blocks.
The moment of inertia of each block is
Total moment of inertia of two block is
The final moment of inertia of the turn table is
From the conservation of the angular momentum, the initial angular momentum of the system is equal to final angular momentum of the system,
Rearrange the equation we have that
The magnitude of the turntable's angular velocity is 66.67rpm
Answer:
B) Tommy had a positive acceleration between noon and 12:30 pm.
Explanation:
Acceleration is defined as the rate of change of velocity:
where
v is the final velocity
u is the initial velocity
t is the time
In the problem,
- At noon, Tommy is walking at a velocity of 4 mi/h
- At 12.30 pm, Tommy is walking at a velocity of 6 mi/h
- A time of half an hour (0.5 h) passed between the two moments
So Tommy's acceleration is
and the acceleration is positive, since the velocity has increased.