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geniusboy [140]
2 years ago
9

A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of 0.60 m and a mass of 0.44 kg. The rod has a

length of 1.28 m and a mass of 0.48 kg. The rod is placed on a fulcrum (pivot) at X = 0.46 m from the left end of the rod. Calculate the moment of inertia (click for graphical table) of the contraption around the fulcrum.
Physics
1 answer:
siniylev [52]2 years ago
3 0

Answer:Moment of inertia is the property of a body due to which it resists angular acceleration. It is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Explanation: I = m*r*r

Given mass of sphere = 0.4kg

Radius of sphere = 0.6m

Moment of Inertia of sphere = (2/3)*0.4* 0.6

Inertia of sphere = 0.096 kgm2

Given mass of rod = 0.48kg

Length of rod = 1.28m

Inertia of rod = (m*L*L)/3

I = (0.48 * 1.28 * 1.28)/3

I = 0.218 kgm2

Total Moment of inertia I = 0.096 + 0.218

I = 0.314 kgm2

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When a perfume bottle is opened, some liquid changes to gas and the fragrance spreads around the room. Which sentence explains t
Vlada [557]

A.

Gases do not have a definite volume.

Explanation:

This observation suggests that the gases do not have a definite volume. Gases moves randomly and will expand to take up the shape of containers they are introduced into.

  • The particles of a gas are very far apart.
  • They are held together by very weak attractive forces
  • Gases are random and they frequently collide with one another and the walls of the containers they are put into.
  • They have no fixed volumes

learn more:

Kinetic theory of matter brainly.com/question/12362857

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3 0
2 years ago
The refractive index n of transparent acrylic plastic (full name Poly(methyl methacrylate)) depends on the color (wavelength) of
Novosadov [1.4K]

Answer:

The angle between the blue beam and the red beam in the acrylic block is  

 \theta _d  =0.19 ^o

Explanation:

From the question we are told that

     The  refractive index of the transparent acrylic plastic for blue light is  n_F  =  1.497

     The  wavelength of the blue light is F  =  486.1 nm  =  486.1 *10^{-9} \ m

    The  refractive index of the transparent acrylic plastic for red light is  n_C  =  1.488

       The  wavelength of the red light is C =  656.3 nm  = 656.3 *10^{-9} \  m

    The incidence angle is  i  =  45^o

Generally from Snell's law the angle of refraction of the blue light  in the acrylic block  is mathematically represented as

       r_F =  sin ^{-1}[\frac{sin(i) *  n_a }{n_F} ]

Where  n_a is the refractive index of air which have a value ofn_a =  1

So

     r_F =  sin ^{-1}[\frac{sin(45) *  1 }{ 1.497} ]

      r_F  =  28.18^o

Generally from Snell's law the angle of refraction of the red light in the acrylic block is mathematically represented as

       r_C =  sin ^{-1}[\frac{sin(i) *  n_a }{n_C} ]

Where  n_a is the refractive index of air which have a value ofn_a =  1

So

     r_C =  sin ^{-1}[\frac{sin(45) *  1 }{ 1.488} ]

      r_F  =  28.37^o

The angle between the blue beam and the red beam in the acrylic block

     \theta _d  =  r_C  - r_F

substituting values

       \theta _d  = 28.37 -  28.18

       \theta _d  =0.19 ^o

 

4 0
2 years ago
Two objects have masses m and 5m, respectively. They both are placed side by side on a frictionless inclined plane and allowed t
poizon [28]

Answer:

(E) The two objects reach the bottom of the incline at the same time.

Explanation:

Given;

first object with mass, m

second object with mass, 5m

The acceleration of gravity for both object is the same = 9.8 m/s²

Since both objects have the same acceleration of gravity, and no external force due friction (frictionless inclined plane), they will reach bottom of the inclined at the time.

Thus, the acceleration due to gravity is constant for all objects regardless of their masses.

Therefore, the correct option is E;

(E) The two objects reach the bottom of the incline at the same time.

5 0
2 years ago
Consider a very small hole in the bottom of a tank 17.0 cm in diameter filled with water to a heightof 90.0 cm. Find the speed a
umka21 [38]

Answer:

Speed of water, v = 4.2 m/s

Explanation:

Given that,

Diameter of the tank, d = 17 cm

It is placed at a height of 90 cm, h = 0.9 m

We need to find the speed at which the water exits the tank through the hole. It can be calculated using the conservation of energy as :

\dfrac{1}{2}mv^2=mgh

v=\sqrt{2gh}

v=\sqrt{2\times 9.8\times 0.9}

v = 4.2 m/s

So, the speed of water at which the water exits the tank through the hole is 4.2 m/s. Hence, this is the required solution.

5 0
2 years ago
Tyler stands at rest on a skateboard. He has a mass of 120 kg. His friend (m = 60 kg) jumps into his arms at a speed of 2 m/s. I
Andrews [41]
Momentum question. This is an inelastic collision, so 

m1v1+m2v2=Vf(m1+m2)
Vf=(m1v1+m2v2)/(m1+m2)=[(120kg)(0m/s)+(60kg)(2m/s)] / (120kg+60kg)
Vf=120kg m/s  /   180kg
Vf=0.67m/s

0.67m/s
5 0
2 years ago
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