Which properties do all metals on the periodic table share?

A gymnast is in a tucked position to complete her somersaults. While tucked her moment of inertia about an axis through the cent

torisob [31]

Answer:

$\omega_s=12.8886\ rad.s^{-1}$

Explanation:

Given that:

moment of inertia of tucked body, $I_t=16\ kg.m^2$

rotational speed of the body, $N_t=2.5\ rev.s^{-1}$

i.e. $\omega_t=2\pi\times 2.5=15.708\ rad.s^{-1}$

moment of inertia of the straightened body, $I_s=19.5\ kg.m^2$

<u>Now using the law of conservation of angular momentum:</u>

angular momentum of tucked body=angular momentum of straight body

$I_t.\omega_t=I_s.\omega_s$

$16\times 15.708=19.5\times \omega_s$

$\omega_s=12.8886\ rad.s^{-1}$

8 0

3 years ago

Now suppose the initial velocity of the train is 4 m/s and the hill is 4 meters tall. If the train has a mass of 30000 kg, what

hoa [83]

Answer:

Explanation:

From the question, the kinectic energy of the train will be equal to the energy stored in the spring.

Kinetic energy = 1/2 mv² and energy stored in a spring E = 1/2 ke².

Equating both we will have;

1/2 mv² = 1/2ke²

mv² = ke²

m is the mass of the train

v is the velocity of then train

k is the spring constant

e is the extension caused by the spring.

Given m = 30000kg, v = 4 m/s, e = 4 - 2.4 = 1.6m

Substituting this values into the formula will give;

30000*4² = k*1.6²

$k = \frac{30,000*16}{1.6^2}\\ \\k = \frac{480,000}{2.56}\\ \\k = 187,500Nm^{-1}$

The value of the spring constant is 187,500N/m

7 0

3 years ago

What is static electricity

navik [9.2K]

Static electricity is electricity produced locally that does not flow. It is produced by electrons being rubbed off one object and collecting on another. It cannot flow through a wire like the electricity in your home.

Example:

1) Rub a balloon on your hair and it will stick to the wall. The balloon rubs electrons off your hair and picks up a negative charge. Your hair, in turn, is left with a positive charge. You may even notice your hair has "static" and is standing out from your head.

2) Comb your hair with a plastic comb then use it to pick up small pieces of paper. The comb picks up electrons from your hair and becomes negatively charged. It uses this charge to attract the pieces of paper.

3) Rub your slippered feet on the carpet and then touch something metal like a door knob. The "shock" you feel is static electricity. You pick up electrons from the carpet and discharge them on to the door knob.

3 0

3 years ago

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The light-gathering capacity of a telescope is dependent upon the: magnification focal length size of human iris area of apertur

lilavasa [31]

<span>Well, light gathering capacity of a telescope is dependent upon the area of aperture</span>

8 0

3 years ago

Read 2 more answers

A block of mass 0.404 0.404 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result, the spring

VARVARA [1.3K]

To solve this problem it is necessary to apply the concepts related to the Force from Hook's law as well as the definition of the period provided by the same definition.

We know that the Force can be defined as

$F = xk \rightarrow mg = kx \Rightarrow k = \frac{mg}{x}$