When the mass of moving object is doubled with no change in speed, by what factor is its momentum changed? By what factor is its kinetic energy changed?

In this question you will use an energy approach to determine how the mass of a spring affects its motion. Normally we assume the spring has zero mass. But if we realize real springs have mass we can find the contribution to the kinetic energy of the system due to the motion of the spring. What makes this hard is that different parts of the spring move at different velocities. So, we must use a little calculus to find the result.Consider a vertical spring of mass m that has a mass M attached at its end. Let the position of the mass at the end of the spring relative to the point of attachment be given by Y and its velocity be given by V. a) What is the velocity of a small segment of the spring at the point of attachment?  b) What is the velocity of a small segment of the spring right next to the moving mass?  c) What is the velocity of a small segment of the spring that is exactly halfway between the top and the bottom?  d) Now let the mass of the spring be m and…

A mass of 700 kg moving at a speed of 36 km/h collides with a horizontally mounted spring of spring constant 6.26*10^3 N/m, what is the maximum compression (meters) of the spring?

Mike then takes his now 1175 kg car and crashes it at 50 m/s into the back of a 1600 kg Jeep traveling at 10 m/s.  They roll off together going 18 m/s.  How much work was done by the crumple zone of Mike’s car? Just a short simple answer will suffice.