3. A 0.200 kg air-track glider moving at 1.20 m/s bumps into a 0.600 kg glider at rest.
a.) Find the total kinetic energy after collision if the collision is elastic. .144J I got that one.
b.) Find the total kinetic energy after collision if the collision is completely inelastic.
To find the total kinetic energy after a completely inelastic collision, you need to understand the principle of conservation of momentum. In an inelastic collision, the two objects stick together and move with a common velocity after the collision.
Here are the steps to find the total kinetic energy after an inelastic collision:
1. Determine the initial momentum:
The momentum of an object is calculated as the product of its mass and velocity. The initial momentum of the 0.200 kg glider is given as:
p1 = m1 * v1 = 0.200 kg * 1.20 m/s
2. Determine the final momentum:
Since the 0.600 kg glider is at rest, its initial momentum is zero (p2 = 0). After the collision, the two gliders stick together and move with a common velocity (v_f). Thus, the final momentum is:
p_f = (m1 + m2) * v_f
3. Apply the principle of conservation of momentum:
The principle of conservation of momentum states that in a closed system, the total momentum before and after the collision remains constant. Thus, the initial momentum of the system (p1) is equal to the final momentum of the system (p_f):
p1 = p_f
Substituting the values we know, we get:
0.200 kg * 1.20 m/s = (0.200 kg + 0.600 kg) * v_f
4. Solve for the final velocity (v_f):
Rearranging the equation, we have:
v_f = (0.200 kg * 1.20 m/s) / (0.800 kg)
Calculate the value of v_f to find the final velocity of the combined gliders after the collision.
5. Calculate the total kinetic energy after the collision:
The total kinetic energy of a system is calculated by summing the kinetic energies of the individual objects. In this case, after the collision, the two gliders have the same velocity (v_f). The kinetic energy of an object is calculated as half the product of its mass and the square of its velocity.
The total kinetic energy after an inelastic collision is given by:
KE = (m1 + m2) * (v_f)^2
Substitute the values we know to find the total kinetic energy after the completely inelastic collision.
Remember to perform the calculations accurately to obtain the correct answer for the total kinetic energy after the collision in a completely inelastic scenario.
a. yes.
b. on this solve the Velocityies after the collision by conservation of momentum. I don't see enough information to do it.