Can someone PLEASE help me with these ASAP?! I have been struggling trying to fi

Question

Can someone PLEASE help me with these ASAP?! I have been struggling trying to figure them out for hours and this assignment is due in 45 minutes and I am running out of time. If someone could please work them out and help me I would grately apreciate it!

20. 1/2 points I Previous Answers My Notes Near the center of our galaxy, the Milky way, there is a supermassive black hole with a mass of about 4.2 million times the mass of the Sun. The mass of the Sun is 300 kg.) What is the radius of this black hole? 1.2e10 m what is that, expressed in astronomical units? (One AU is the average Earth-sun distance, 150 million kilometers.) 0.0802 x AU

Explanation / Answer

20)

radius of black hole = 1.2 *10^10 m

in AU

radius = 1.2 *10^10/(150 *10^6 * 10^3)

radius = 0.08 AU

11) let the speed of the spaceship is v

and it's rest length is Lo

Now , for length to be 8 % shorter

Using the formula for length contraction

(1 - 0.08) * Lo = Lo * sqrt(1 - (v/c)^2)

(1 - 0.08) = sqrt(1 - (v/c)^2)

solving for v

v = 0.392c

the speed of spaceship must be 0.392c

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---