SCI 224 - Scientific Equations Examine Guide

Medical Equations Study Guide

Week 1

Gravitational Force

Calculate the gravitational force between a a thousand kg object and a 1300 kg object segregated by a length of your five m.

Option:

The gravitational constant G = 6th. 67 Г— 10-11 Nm2/kg2

F

GM1M 2

d2

6. 67 10 14 1000 toll free

3. 47 10 6th N

two

5

Round Speed

Calculate the spherical speed associated with an object that orbits the Sun at a distance of 6. 7 AU. Remedy:

The astronomical unit 1 AU sama dengan 1 . five Г— 1011 m

The solar mass M sama dengan 1 . 989 Г— 1030 kg

Vc

GM

d

6. 67 10 11 1 . 989 1030

6. 7 1 . 5 1011

1 . 15 104 m/s 11. your five km/s

1

SCI 224 - Clinical Equations Study Guide

Week 2

Wien's Law

Precisely what is the heat of a star whose brightness peaks at 480 nm? Solution:

The Wien's Law constant can be 2 . on the lookout for Г— 10-3 m T

= 480 nm sama dengan 4. almost 8 Г— 10-7 m

To

constant

Capital t

constant

installment payments on your 9 10-3

4. almost eight 10 six

6000K

The typical Speed of the Molecule

Calculate the average speed of a nitrogen molecule (mass is 4. 7 Г— 10-26 kg) at temp 320 K. Solution:

The Boltzmann's continuous k sama dengan 1 . 38 Г— 10-23 kg m2/K s2

v

8kT

meters

8 1 . 38 twelve 23 320

= 489 m/s

several. 14 5. 7 twelve 26

2

SCI 224 - Medical Equations Analyze Guide

Week 3

Denseness of a Gas

What is the density of any gas with a temperature of 300K as well as its atmospheric pressure is 1 ) 5 Г— 105 Pa?

Solution:

P=nkT

n

L

kT

1 . 5 105

3. 6 1025 substances per cubic meter

1 ) 38 twelve 23 300

The Stefan-Boltzmann Law

Precisely what is the electromagnetic flux from the surface of any 4500K blackbody? Solution:

The Stefan-Boltzmann frequent

E=

sama dengan 5. 67 Г— 10-8 W/ m2K4

T4

Electronic = a few. 67 Г— 10-8 Г— 45004 sama dengan 2 . a few Г— 107 W/m2

a few

SCI 224 - Clinical Equations Study Guide

Week 4

Kepler's Third Regulation

A small ordinary is orbiting the asteroid ABC1 at a distance of 14, 500 yards and with an orbital period of 18, 000 mere seconds. Calculate the mass of ABC1.

Solution:

P = 18000 s

a = 11500 meters

P2

4 2a3

G (m M )

Presume m = 0; to sum up equation

Meters

4 2a3

GP 2

4 several. 142 115003

6. 67 10-11 180002

2 . 8 1015 kg

4

SCI 224 - Scientific Equations Study Guideline

Parallax and Distance

Precisely what is the distance in parsecs of your object that includes a parallax position of zero. 15 arcseconds? Solution:

m

1

s

1

0. 15

six. 7 parsecs

Luminosity and Absolute Degree

What is the apparent size of a superstar with an absolute magnitude of 8. zero located at distance of 15. zero parsecs?

m

M

five log

deb

10

12-15. 0

12

8. 9

5

SCI 224 -- Scientific Equations Study Guideline

Week 6

What is the slanted resolution of your 10 m diameter telescope when seeing orange mild with a wavelength of 600 nm.

250000

Deb

250000 6th. 5 twelve 7

a couple of

0. 08125seconds of arc

Hubble's Regulation

What is the length in megaparsecs to a galaxy that has a recession velocity of 20, 500 km/s? Solution:

Assume the Hubble rules constant L = 75 km/s/Mpc.

m

v

They would

20000

286 Mpc

70

6

SCI 224 - Scientific Equations Study Information

Week several

The Enlargement Age of the Universe

In the event the Hubble regular is 140 km/s/Mpc instead of 70 km/s/Mpc what is age the World? Solution:

In the event that Hubble frequent is 150 km/s/Mpc, twice as large while 70 km/s/Mpc, then the Hubble time can be is 50 percent as long as the Hubble time for H sama dengan 70 km/s/Mpc. Thus,

you

H

t

1

13. 8 billion years six. 9 billion years

a couple of

The Doppler Effect

The galaxy emits light using a wavelength of 19 cms. That lumination is observed at the Earth to be 21 years old centimeters. Precisely what is the family member velocity with the galaxy with respect to the Earth? Answer:

vr

c

o

vr

c

o

3 one zero five (21 19)

19

a few. 2 107 m/s

7