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2 years ago

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A 100 kg cart goes around the inside of a vertical loop of a roller coaster. The radius of the loop is 3 m and the cart moves at

a speed of 6 m/s at the top. The force exerted by the track on the cart at the top of the loop is ________.

1 answer:

Sphinxa [80]2 years ago

8 0

Answer:

200 N

Explanation:

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Volcanoes change the earth by

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which of the following professionals would most likely be called upon to treat a person suffering from a dangerous level of schi

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2 years ago

Which of the following represents a chemical change to matter? A. digestion of food B. melting an ice cube C. shredding paper D.

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2 years ago

A cosmic ray (an electron or nucleus moving ar speeds close to the speed of light) travels across the Milky Way at a speed of 0.

Fiesta28 [93]

Answer:

Cosmic ray's frame of reference: 99,875 years

Stationary frame of reference: 501,891 years

Explanation:

First of all, we convert the distance from parsec into metres:

$d=30,000 pc =9.26\cdot 10^{20} m$

The speed of the cosmic ray is

$v=0.98 c$

where

$c=3.0 \cdot 10^8 m/s$ is the speed of light. Substituting,

$v=(0.98)(3.0\cdot 10^8)=2.94\cdot 10^8 m/s$

And so, the time taken to complete the journey in the cosmic's ray frame of reference (called proper time) is:

$T_0 = \frac{d}{v}=\frac{9.26\cdot 10^{20}}{2.94\cdot 10^8}=3.15\cdot 10^{12} s$

Converting into years,

$T_0 = \frac{3.15\cdot 10^{12}}{(365\cdot 24\cdot 60 \cdot 60}=99,875 years$

Instead, the time elapsed in the stationary frame of reference is given by Lorentz transformation:

$T=\frac{T_0}{\sqrt{1-(\frac{v}{c^2})^2}}$

And substituting v = 0.98c, we find:

$T=\frac{99,875}{\sqrt{1-(\frac{0.98c}{c})^2}}=501,891 years$

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2 years ago

If an ocean has a wavelength of 2 m and a frequency of 1 wave/s then it's speed is ___ m/s.

scoundrel [369]

V = f x lamda

Wave speed = frequency x wavelength
2x1 = 2 so wave speed = 2m/s

Let me know if you have any questions

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2 years ago