The fastest speed before the string breaks is 9.5 m/s
Explanation:
The motion of the block is a uniform circular motion, which is a circular motion with constant speed. The force that keeps the block in circular motion is called centripetal force; its direction is towards the centre of the circle and its magnitude is given by:

where
m is the mass of the block
v is its speed
r is the radius of the circle
In this problem, the centripetal force is provided by the tension in the string, T, so we can write:

The string breaks when the centripetal force becomes larger than the maximum tension in the string:

Re-arranging the equation for v,

and here we have:
T = 450 N
m = 10 kg
r = 2 m
Substituting,

So, the fastest speed before the string breaks is 9.5 m/s.
Learn more about circular motion:
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Answer:
It can have many set of perpendicular component but the most important one is 3 AND 4
Explanation:
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Answer:
The density of the block is 7.4g/ml.
Explanation:
We can determine the volume of the metal block by taking the difference between the volumes measured in the graduated cylinder:

Now, as we know that the average density of an object is calculated dividing its mass by its volume, we can calculate the density ρ of the metal block using the expression:

Finally, it means that the density of the metal block is 7.4g/ml.
Explanation:
The given data is as follows.
Temperature of metal =
= (296 + 273) K
= 569 K
Density of the metal = 8.85
=
(as
)
Atomic mass = 51.40 g/mol
Vacancies = 
Formula to calculate the number of atomic sites is as follows.
n = 
= 
= 
Now, we will calculate the energy as follows.
E = 
where, K = 
E = 
= 
Therefore, we can conclude that energy (in eV/atom) for vacancy formation in given metal, M, is
.