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klemol [59]
3 years ago
15

Comets travel in orbits around the Sun. Some comets take less than 200 years to orbit the Sun. They are called short-period come

ts. Short-period comets are thought to originate in the Kuiper Belt, which is a belt of icy objects just beyond the orbit of the planet _____. The dwarf planet ______ is located in this belt.
Physics
2 answers:
Nina [5.8K]3 years ago
5 0

the planet neptune

The dwarf planet pluto.

The question literally has the words dwarf planet in it.  Pluto is the only dwarf in the solar system. All you had to do was look up which planet is in front of Pluto.

Elenna [48]3 years ago
5 0

Answer:

Planet: Neptune

Dwarf Planet: Pluto

Explanation:

Kuiper belt starts just after the orbit of planet Neptune at a distance of around 30 AU (1AU = 150 Million km) and extends up to 50AU from the Sun. This is home to billions of comet as well as lot of rocky bodies. Most famous of them is Pluto, which was earlier designated as a planet. In 2006, when the criteria for declaring a celestial body as a planet were reworked, Pluto was designated as a dwarf Planet.

The comet are thought to have formed at the time of the Solar system formation and resides in Kuiper Belt and Oort's cloud. The comets which reside in Kuiper belt are known as short period or periodic comets.

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A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0 N/m. At the moment t = 0, th
svp [43]

a) x(t)=2.0 sin (10 t) [m]

The equation which gives the position of a simple harmonic oscillator is:

x(t)= A sin (\omega t)

where

A is the amplitude

\omega=\sqrt{\frac{k}{m}} is the angular frequency, with k being the spring constant and m the mass

t is the time

Let's start by calculating the angular frequency:

\omega=\sqrt{\frac{k}{m}}=\sqrt{\frac{50.0 N/m}{0.500 kg}}=10 rad/s

The amplitude, A, can be found from the maximum velocity of the spring:

v_{max}=\omega A\\A=\frac{v_{max}}{\omega}=\frac{20.0 m/s}{10 rad/s}=2 m

So, the equation of motion is

x(t)= 2.0 sin (10 t) [m]

b)  t=0.10 s, t=0.52 s

The potential energy is given by:

U(x)=\frac{1}{2}kx^2

While the kinetic energy is given by:

K=\frac{1}{2}mv^2

The velocity as a function of time t is:

v(t)=v_{max} cos(\omega t)

The problem asks as the time t at which U=3K, so we have:

\frac{1}{2}kx^2 = \frac{3}{2}mv^2\\kx^2 = 3mv^2\\k (A sin (\omega t))^2 = 3m (\omega A cos(\omega t))^2\\(tan(\omega t))^2=\frac{3m\omega^2}{k}

However, \frac{m}{k}=\frac{1}{\omega^2}, so we have

(tan(\omega t))^2=\frac{3\omega^2}{\omega^2}=3\\tan(\omega t)=\pm \sqrt{3}\\

with two solutions:

\omega t= \frac{\pi}{3}\\t=\frac{\pi}{3\omega}=\frac{\pi}{3(10 rad/s)}=0.10 s

\omega t= \frac{5\pi}{3}\\t=\frac{5\pi}{3\omega}=\frac{5\pi}{3(10 rad/s)}=0.52 s

c) 3 seconds.

When x=0, the equation of motion is:

0=A sin (\omega t)

so, t=0.

When x=1.00 m, the equation of motion is:

1=A sin(\omega t)\\sin(\omega t)=\frac{1}{A}=\frac{1}{2}\\\omega t= 30\\t=\frac{30}{\omega}=\frac{30}{10 rad/s}=3 s

So, the time needed is 3 seconds.

d) 0.097 m

The period of the oscillator in this problem is:

T=\frac{2\pi}{\omega}=\frac{2\pi}{10 rad/s}=0.628 s

The period of a pendulum is:

T=2 \pi \sqrt{\frac{L}{g}}

where L is the length of the pendulum. By using T=0.628 s, we find

L=\frac{T^2g}{(2\pi)^2}=\frac{(0.628 s)^2(9.8 m/s^2)}{(2\pi)^2}=0.097 m






5 0
3 years ago
(a) Write the energy equation for an elastic collision. (b) For an inelastic collision.
velikii [3]

Answer:

Explanation:

There are two types of collision.

(a) Elastic collision: When there is no loss of energy during the collision, then the collision is said to be elastic collision.

In case of elastic collision, the momentum is conserved, the kinetic energy is conserved and all the forces are conservative in nature.

The momentum of the system before collision = the momentum of system after collision

The kinetic energy of the system before collision = the kinetic energy after the collision

(b) Inelastic collision: When there is some loss of energy during the collision, then the collision is said to be inelastic collision.

In case of inelastic collision, the momentum is conserved, the kinetic energy is not conserved, the total mechanical energy is conserved and all the forces or some of the forces are non conservative in nature.

The momentum of the system before collision = the momentum of system after collision

The total mechanical energy of the system before collision = total mechanical of the system after the collision

5 0
3 years ago
A 25.0-kg child is standing at the edge of a horizontal merry-go-round with a radius of 2.40 m and a moment of inertia of 356 kg
motikmotik

Answer:

\omega_{f}=1.634\ rad/s  

Explanation:

given,  

diameter of merry - go - round = 2.40 m  

moment of inertia = I = 356 kg∙m²

speed of the merry- go-round = 1.80 rad/s

mass of child = 25 kg  

initial angular momentum of the system  

L_i = I\omega_i  

L_i =356\times 1.80  

L_i =640.8\ kg.m^2/s  

final angular momentum of the system  

L_f = (I_{disk}+mR^2)\omega_{f}  

L_f = (356 + 25\times 1.2^2)\omega_{f}  

L_f= (392)\omega_{f}  

from conservation of angular momentum  

L_i = L_f  

640.8= (392)\omega_{f}  

\omega_{f}=1.634\ rad/s  

8 0
3 years ago
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How are velocity, wavelength, and frequency related
Readme [11.4K]

Answer:

The wave velocity and the wavelength are related to the wave's frequency and period by vw=λT or vw=fλ. The time for one complete wave cycle is the period T. The number of waves per unit time is the frequency ƒ. The wave frequency and the period are inversely related to one another.

Explanation:

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3 years ago
According to prevailing gender stereotypes describe the most important characteristics associated with men and woman
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Answer

According to prevailing gender stereotypes most important characteristics associated with men and woman are as follows

1. Domestic behaviors is one of the basic stereotypes. Some people have thinking that women will  cook for family, she will take care of the children, she will do loundary and will clean the house. About man they thought he will take care of finances, will pay the bills and do the home repairs.

2. Some people thought that women are emotional and submissive, while men are thought to be self-confident and aggressive.

3.Some people thought that the most common occupation for women are teaching and nursing while the rest of the occupation are for men like pilots, doctors, and engineers are men.

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5. Dressing of men and women also thought to be different. Usually men expected to wear pants and short hairstyles whele  women are expected to wear goun, frouks  and make-up.

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3 years ago
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