physics

A) What is the minimum speed, relative to the Sun, necessary for a spacecraft to escape the solar system if it starts at the Earth's orbit? B) Voyager I achieved a maximum speed of 125 000 km/h on its way to photograph Jupiter. Beyond what distance from the Sun is this speed sufficient to escape the solar system? so for part A I used the equation... V(esc)=square root of (2*G*M(earth))/(distance from the earth to the sun) is that right? and i don't understand how to do the second part. The escape velocity from Earth's orbit into interstellar space is 42 km/sec. Source: For you other question try: If no help repost that question and a physics expert probably will get it tomorrow. On both parts, start with the PE due to Sun PE= INT Force*dx from inf to r, For the A, r will be Earth orbit radius, and for B), r will be the unknown. INT GMs*M/r^2 dr= GMs*M/r Set that equal to 1/2 GMv^2 in the first, with r= rearth orbit. In Part A) This will change what Mass is in the equation. In part B) you know the KE, set that equal to GMs/r and solve for r.