If a 4N weight is hung on a spring, and it extends by 0.2m, what is the spring constant (k)?

what is the rotational kinetic energy of the earth? use the moment of inertia you calculated in part a rather than the actual mo

Ivenika [448]

The Earth's rotational kinetic energy is the kinetic Energy that the Earth

has due to rotation.

The rotational kinetic energy of the Earth is approximately 3.331 × 10³⁶ J

Reasons:

The parameters required for the question are;

Mass of the Earth, M = 5.97 × 10²⁴ kg

Radius of the Earth, R = 6.38 × 10⁶ m

The rotational period of the Earth, T = 24.0 hrs.

$The \ moment \ of \ inertia \ of \ uniform \ sphere \ is \ I = \mathbf{\dfrac{2}{5} \cdot M \cdot R^2}$

Which gives;

$\mathbf{I_{Earth}} = \dfrac{2}{5} \times 5.97 \times 10 ^{24} \cdot \left(6.38 \times 10^6 \right)^2 = 9.7202107 \times 10^{37}$

$\mathrm{The \ rotational \ kinetic \ energy \ is} \ E_{rotational} = \mathbf{\dfrac{1}{2} \cdot I \cdot \omega^2}$

$\mathrm{The \ angular \ speed, \ \omega} = \mathbf{\dfrac{2 \dcdot \pi}{T}}$

Therefore;

$\omega = \dfrac{2 \cdot \pi}{24} = \dfrac{\pi}{24}$

Which gives;

$\mathbf{E_{rotational}} = \dfrac{1}{2} \times 9.7202107 \times 10^{37} \times \left( \dfrac{\pi}{12} \right)^2 = 3.331 \times 10^{36}$

The rotational kinetic energy of the Earth, $E_{rotational}$ = 3.331 × 10³⁶ Joules

Learn more here:

brainly.com/question/13623190

The moment of inertia from part A of the question (obtained online) is that of the Earth approximated to a perfect sphere.

Mass of the Earth, M = 5.97 × 10²⁴ kg

Radius of the Earth, R = 6.38 × 10⁶ m

The rotational period of the Earth, T = 24.0 hrs

3 0

3 years ago

ASAP TWENTY POINTS What type of image is formed by a mirror if m = -0.4?

nevsk [136]

Answer:

OPTION (C)

Explanation:

m(magnification) = -0.4 means a real, inverted and diminished image is formed in front of the mirror.

4 0

3 years ago

Determine the force the sun exerts on an object with a mass of 80.0 kg if that object is on the earth. What is the force exerted

MrRissso [65]

he has to read a tripple beam balence and mesure the pltates

3 0

3 years ago

Read 2 more answers

~ is the following statement true or false? Explain your answer.

USPshnik [31]

Answer: False

Explanation: The sun is one of earths primary energy sources. Without the sun, all animals, plants, humans would die. The sun's energy provides warmth for humans and plants and animals cannot grow without the sun.

7 0

3 years ago

How dose nail polish burnt in water?

vazorg [7]

Answer:

The reason behind fire in water when nail polish is added is the presence of acetone which is a flammable substance. Acetone, commonly known as dimethyl ketone or 2-propanone, is a flammable chemical in nail polish. Acetone is flammable as well as poisonous when it comes contact with moisture.

Explanation:

The reason behind fire in water when nail polish is added is the presence of acetone which is a flammable substance. Acetone, commonly known as dimethyl ketone or 2-propanone, is a flammable chemical in nail polish. Acetone is flammable as well as poisonous when it comes contact with moisture.

5 0

3 years ago