- #1
Mariesa Yeoman
- 14
- 3
Homework Statement
I have tried this several times, though I am going wrong someplace along the way. I have tried using these equations below but I cannot seem to get anywhere with it. I left the attempts below so that you may see what I have done, and maybe someone can tell me what I am doing wrong ?
Two manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first has a mass of 2.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. Assume that the positive direction is directed from the second satellite towards the first satellite.
(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.
(b) What is the loss of kinetic energy in this inelastic collision?
(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.
final velocity
(d) loss of kinetic energy = ?
Homework Equations
p1 + p2 = p′1 + p′2
m1 v1 + m2 v2 = m1 v′1 + m2 v′2 .
To solve for v' is m1 * v1 = m1+m2 * v'
v1= initial velocity
v' = final velocity
m1 = 2000kg
m2 = 7500 kg
The Attempt at a Solution
Attempt 1:
With the equation m2*v^2+m1+0 = (m1 +m2) * v ----> 7500kg * 0.100m/s + 0 = (9500kg) * v'
Attempt 2:
m1 * v1 = (m1 +m2)* v' rearranged to solve for v' ---> v' = m1 / m1+m2 * v1 =
plugging in my values led me to ---> v' = 2000kg / 2000kg + 7500kg *(v1) =0.02105263158 or 0.0210
I will leave the list here, I have many other attempts, since they are wrong I will spare you those details! Thank you for your help.