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Kruka [31]
3 years ago
5

Interestingly, there have been several studies using cadavers to determine the moments of inertia of human body parts, informati

on that is important in biomechanics. In one study, the center of mass of a 5.7 kg lower leg was found to be 18 cm from the knee. When the leg was allowed to pivot at the knee and swing freely like a pendulum, the oscillation frequency was 1.7 Hz.
What was the moment of inertia of the lower leg?
Physics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

0.08821 kgm²

Explanation:

f = Frequency = 1.7 Hz

m = Mass of lower leg = 5.7 kg

d = Distance of center of mass = 18 cm

g = Acceleration due to gravity = 9.81 m/s²

I = Moment of inertia

Frequency is given by

f=\frac{1}{2\pi}\sqrt{\frac{mgd}{I}}\\\Rightarrow I=\frac{mgd}{(2\pi f)^2}\\\Rightarrow I=\frac{5.7\times 9.81\times 0.18}{(2\pi 1.7)^2}\\\Rightarrow I=0.08821\ kgm^2

The moment of inertia of the lower leg is 0.08821 kgm²

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The force applied while lifting a box would be ?
V125BC [204]
Don’t quite know what answer you’re looking for since I can think off couple straight off the bat. But the best answer I can think of is maybe Kinetic energy? If that sounds wrong then sorry, I don’t quite know what it is you’re learning about
3 0
3 years ago
You apply a 150 N push on a frictionless sled over a period of 2 seconds. Show that the sled’s momentum changes by 300 kg·m/s.
Savatey [412]

Explanation:

Given parameters:

Force applied = 150N

Time  = 2s

Unknown:

Momentum change = ?

Solution:

The momentum change of a body is the difference between its initial and final momentum.

Momentum is the same as the impulse exerted on a body which is the product of force  and time

   Momentum = mass x velocity = force x time

The body initially at rest has a momentum of 0, as the momentum changes;

      Momentum change = Final momentum - initial momentum

                                         = f x t - (0)

                                         = (150 x 2) - 0

     Momentum change = 300kgm/s

Since the body is a frictionless surface, the net force is the same as the applied force.

learn more

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8 0
3 years ago
In the Bohr model of the hydrogen atom, an electron orbits a proton in a circular orbit of radius 0.53 X 10^-10 m. What is elect
maxonik [38]

Answer:

a) 27.2 V

b)27.2 V

Explanation:

Charge of the electron =charge of the proton = q = 1.6 × 10⁻¹⁹ C

Radius = r = 0.53×10⁻¹⁰ m

Electric Potential = V = k q/r

k = 9 ×10⁹ N m²/C² = Coulomb's constant.

V = (9 ×10⁹)(1.6 × 10⁻¹⁹)/( 0.53×10⁻¹⁰) = 27.2 V

b) Potential Energy of the electron =  k q × q / r

   = [(9 ×10⁹)(1.6 × 10⁻¹⁹)(1.6 × 10⁻¹⁹) / (0.53×10⁻¹⁰)] / (1.6 × 10⁻¹⁹) eV,

since 1 electron volt = (1.6 × 10⁻¹⁹)joules

   = 27.2 eV

7 0
4 years ago
Obsidian is a volcanic glass that forms when lava cools very quickly and consists of a solid mass of glass through and through.
zysi [14]

Answer:

Obsidian is classified by mineralogy as glass, since its atoms do not form a crystalline structure; It is hard and fragile, attractive, transparent and translucent, but its main feature is its type of fracture, sharp, straight and very sharp, which allows the development of various types of carved instruments and precious polished objects.

Explanation:

Obsidian is a volcanic glass that forms when incandescent lavas, at 600 ° C, with a high silica and aluminum content cool rapidly; If the temperature drop is slow, then the minerals crystallize and give rise to the rocks known as rhyolites, which are light colors: gray, brown, pink, reddish and yellowish.

The obsidian is usually black or gray, but it can also be reddish, brown, green or with different colored eyes; its transparency, translucency and brightness depend on the thickness of the fragment and the light under which it is observed. Obsidian is the most efficient natural material for the elaboration of cutting instruments, such as knives, and impact penetration, such as arrowheads. Due to its particular physical properties, obsidian was widely used by pre-Hispanic cultures in the elaboration of instruments such as sharp knives and uniform edges, for cutting plant fibers, feathers, wood and skins; maguey scrapers; leather, bone and wood perforators. It was also used to carve penetrating arrowheads, dart, spearheads and knives of various shapes. Aztec warriors, priests and gods carried various obsidian objects, such as necklaces, earmuffs, bezotes and scepters; also, urns and sculptures were made with that material.

8 0
4 years ago
A 15 g toy car moving to the right at 24 cm/s has a head-on nearly elastic collision with a 21 g toy car moving in the opposite
11111nata11111 [884]

Answer:

The speed of the second toy car after collision is v_2 = 0.155 \ m/s

Explanation:

Let movement to the right be positive and the opposite negative

From the question we are told that

   The mass of the car is  m_1 =  15 \ g =  \frac{15}{1000}  =  0.015 \ kg

    The initial velocity of the car is  u_1 =  24 \ cm /s  =  0.24 m/s

    The mass of the second toy car  m_2 = 21 g =  0.021 \ kg

    The initial velocity of the car is u_2 =  31 \ cm/s =- 0.31 m/s

    The final velocity of the first car is  v = 41cm/s = - 0.41 m/s

     From law of momentum conservation we have that

     m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2

substituting values

       (0.015*  0.24) +( 0.021 * -0.31) = (0.015 * -0.41 ) + 0.021 v_2

      -0.00291 = -0.0615 + 0.021 v_2

      v_2 = 0.155 \ m/s

 

3 0
3 years ago
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