Physics, 02.09.2019 02:50 Kimb9820

What is the final velocity of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest?

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In every natural phenomena existing, there are three law of conservations that must always be follows: the Law of Conservation of Mass, Energy and Momentum. Let's focus particularly in the conservation of energy. Energy is neither created nor destroyed, it just transferred from one form to another. With that being said, the energy from the hoop from start to finish does not change. When ti was on top of the hill, it possesses potential energy. As it moves down the hill, potential energy is transformed to kinetic energy. So, the conservation is presented in this equation:

Potential energy = Kinetic energy
mgh = 1/2*mv²
where
m is the mass of the hoop
g is the acceleration due to gravity equal to 9.81 m/s²
h is the height
v is the final velocity

Simplifying the equation, we cancel out m at both sides:
gh = 1/2*v²
Substituting the values:
(9.81)(5) = 1/2*v²
v² = 98.1
v = √98.1
v = 9.9 m/s

Answer from: Boris1002

The final speed of the hoop will be $7\sqrt{2}m/s$

Explanation:

As, the hoop is rolling down the hill which is 5 m high, ts initial potential energy is getting converted to the kinetic energy because the energy is conserved in the system.

Law of conservation of energy states that energy can neither be created nor be destroyed, but it can only be transformed from one form to another form. Here, potential energy is getting transformed from potential energy to kinetic energy.

So, writing the equation for conservation of mass, we get:

$mgh=\frac{1}{2}mv^2$

where,

m = mass of the hoop

h = height of the hoop = 5 m

g = acceleration due to gravity = 9.8 m/s

v = final velocity of the hoop = ? m/s

Putting values in above equation, we get:

$m\times 9.8\times 5=\frac{1}{2}\times m\times v^2\\\\v^2=9.8\times 5\times 2\\\\v=\sqrt{98}=7\sqrt{2}m/s$

Hence, the final speed of the hoop will be $7\sqrt{2}m/s$

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

Answer from: Quest

firearm identification is the process of analyzing the bullets and cartridge cases left at a crime scene to determine if they came from a particular firearm. marks on the bullets and cartridges may be common to every firearm of that type. these are called class characteristics.

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