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?

Answers: 2

Show answers

Answers

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

Alkaline earth metals are found in group 2 of the periodic table.

Answer from: Quest

learn it on the intertant so you can solve

Another question on Physics

Physics, 20.06.2019 18:04

In a bumper car arena, two cars of equal mass are heading straight toward each other. the orange one is traveling at a speed of 5 meters per second. the green one is traveling at a speed of 2 meters per second. which of the forces most affects the motion of the bumper cars after they collide? a) gravity b) friction c) the other car d) wind resistance

Answers: 1

Answer

Physics, 21.06.2019 17:30

Awheel rotates without friction about a stationary horizontal axis at the center of the wheel. a constant tangential force equal to 82.0 n is applied to the rim of the wheel. the wheel has radius 0.150 m . starting from rest, the wheel has an angular speed of 12.8 rev/s after 3.88 s. what is the moment of inertia of the wheel?

Answers: 3

Answer

Physics, 22.06.2019 14:30

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.

Answers: 2

Answer

Physics, 22.06.2019 19:20

Two kilograms of air within a piston–cylinder assembly executes a carnot power cycle with maximum and minimum temperatures of 800 k and 300 k, respectively. the heat transfer to the air during the isothermal expansion is 60 kj. at the end of the isothermal expansion the volume is 0.4 m3. assume the ideal gas model for the air. determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kj.

Answers: 1

Answer

You know the right answer?

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

Questions