A 1000kg space craft at 500m/s is on a collision course with a 400kg satellite travelling at 700m/s. Their paths are converging at a 45 degree angle. After the collision, they remain locked together.
a) calculate their final speed
b) calculate the quantity of non-kinetic energy that is created by the collision
a) using conservation of momentum, i found the final speed to be 518m/s.
b) because it is a completely inelastic collision, kinetic energy is not conserved so..
initial energy=final energy
sum of kinetic energy of the space craft and satellite(initial)= sum of kinetic energy final (mass of the space craft and satellite X 518m/s) + non-kinetic energy
and then solve for non-kinetic energy.. but i didn't get the right answer? can someone help me out please?
from the conservation of momentum, you get the new velocity. Use that velocity to compute energy.
initial KE-heat=finalke
solve for heat.
To solve for the non-kinetic energy created by the collision, you need to calculate the initial and final kinetic energies separately.
a) The initial kinetic energy of the spacecraft can be calculated using the formula:
Kinetic energy = 0.5 * mass * velocity^2
Initial kinetic energy of spacecraft = 0.5 * 1000 kg * (500 m/s)^2 = 125,000,000 J
The initial kinetic energy of the satellite can be calculated using the same formula:
Initial kinetic energy of satellite = 0.5 * 400 kg * (700 m/s)^2 = 98,000,000 J
The total initial kinetic energy before the collision is the sum of the kinetic energies of the spacecraft and the satellite:
Total initial kinetic energy = 125,000,000 J + 98,000,000 J = 223,000,000 J
b) After the collision, the spacecraft and satellite remain locked together, which means they move as a single entity. So, their final mass is the sum of their individual masses:
Final mass = 1000 kg + 400 kg = 1400 kg
To find the final kinetic energy, you can use the formula:
Final kinetic energy = 0.5 * mass * velocity^2
Using the final speed calculated in part a (518 m/s), the final kinetic energy is:
Final kinetic energy = 0.5 * 1400 kg * (518 m/s)^2 = 188,226,000 J
To calculate the non-kinetic energy created by the collision, subtract the final kinetic energy from the total initial kinetic energy:
Non-kinetic energy = Total initial kinetic energy - Final kinetic energy
Non-kinetic energy = 223,000,000 J - 188,226,000 J = 34,774,000 J
Therefore, the quantity of non-kinetic energy created by the collision is 34,774,000 J.