The time after it starts spinning, that the box will slip off is 0.1 s.
<h3>Apply the principle of conservation of angular momentum</h3>
I₁ω₁ - I₂ω₂ = 0
I₁ω₁ = I₂ω₂
where;
- I₁ is initial moment of inertia
- I₂ is final moment of inertia
- ω₁ is initial angular speed
- ω₂ is final angular speed
The final angular speed when the box slides off;
ω₂ = I₁ω₁ / I₂
ω₂ = [0.5(m₁ + m₂)(R + r)²] / (0.5MR²)
ω₂ = [0.5(30 + 0.3)(3.1 + 1.4)²] / (0.5 x 30 x 3.1²)
ω₂ = 2.13 rad/s
Time taken for the for box to slide off;
τ = Iα
τ = I(ω/t)
τ = (Iω)/t
t = (Iω)/τ
t = (0.5 x 0.3 x 1.4² x 2.13)/6
t = 0.1 s
Thus, the time after it starts spinning, that the box will slip off is 0.1 s.
Learn more about moment of inertia here: brainly.com/question/3406242
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In order for work to be done a force must be exerted on an object causing it to move
<h2>About 1 trillion billion stars (21 0's)</h2><h2 />
There is an average of 100 billion stars per galaxy. But you are looking for a universe, which is bigger than a galaxy.
According to UCSB Science Line, there are about 1 trillion billion stars in the observable universe. That's one 1 and twenty-one 0's.
Having a high birth rate and a slow death rate would lead to an increase of population but a low birth rate and a high death rate would lead to the decrease of a population.
Answer:
Negative acceleration
Explanation:
Let us assume a vehicle is moving with a constant velocity u and then it comes to a sudden stop.
The initial velocity of the vehicle is u and finally it comes to rest, it means final velocity is 0.
As we know that,
Acceleration is equal to change in velocity divided by time taken.
We can see that the value of acceleration is negative. Hence, it leads to negative acceleration.
