- If You Where To Shrink Jupiter And Put All Of Its Mass Into A Small Enough Radius You Could Form A Black Hole With Mass 1 (41.07 KiB) Viewed 47 times
- If You Where To Shrink Jupiter And Put All Of Its Mass Into A Small Enough Radius You Could Form A Black Hole With Mass 2 (104.38 KiB) Viewed 47 times
- If You Where To Shrink Jupiter And Put All Of Its Mass Into A Small Enough Radius You Could Form A Black Hole With Mass 3 (62.16 KiB) Viewed 47 times
Question 5 2 pts First you need find an equation for the escape velocity and then solve for the radius r. The escape velocity is that at which the Kinetic Energy KE = 1 mv’is equal to the Potential Energy PE = mgr (notice that you are used to see PE = mgh, since we usually measure potential energy relative to the surface, now we want to find the potential at the surface, so h=r). Notice though that the gravitational acceleration g is not constant if you change the radius r, we can find how g depends on rusing Newton's Law F, GmM GM of Gravitation and Newton's 2nd Law: g = m גמל Set KE = PE and solve for r, what do you get? GM HINT: Remember to set g= Or 2G 11 Ora GM OT- 2GM OT 2GM
D Question 6 2 pts Now that you have an equation for r, set the escape velocity to the speed of light, i.e. v = c(that is how we define a black hole), and the mass M to the mass of Jupiter. Use the values below in the equation and calculate r. C = 3 x 108 m/s Gravitational Constant = 6.7 * 10-11 mkg 1 2 Mass of Jupiter = 2 x 10^27 kg Give your answer in units of meters