A heavy ball A of mass 10kg is moving at a velocity of 10m/s to the right. When it hits a stationary ball B of mass 5kg, ball B moves at a velocity of 10m/s to the right.
a) explain whether it is inelastic collision or not.
First, use conservation of momentum to find the velocity of ball A AFTER the collision, Va2.
10kg*10m/s = 5kg*10m/s + 10kg*Va2
Va2 = 50/10 = 5 m/s
Then, compare the sum of kinetic energies before and after collision.
before: KEtotal = (1/2)*10*10^2 = 500 J
after: KEtotal = KE(A) + KE(B) = ___
If the total KE decreases, the collsion is ineleastic. Do the numbers and find out if it is.
retetetgrhehhe
To determine whether the collision between ball A and ball B is inelastic, we need to examine if kinetic energy is conserved during the collision.
In an inelastic collision, the objects stick together and move as a single mass after the collision. While in an elastic collision, the objects bounce off each other and move independently after the collision.
To calculate the initial kinetic energy, we use the formula:
Kinetic energy = (1/2) * mass * (velocity)^2
For ball A:
Mass A = 10 kg
Velocity A = 10 m/s
Initial kinetic energy of ball A = (1/2) * 10 kg * (10 m/s)^2 = 500 J
For ball B:
Mass B = 5 kg
Velocity B = 10 m/s
Initial kinetic energy of ball B = (1/2) * 5 kg * (10 m/s)^2 = 250 J
Now, to determine the final kinetic energy, we calculate the velocity of the combined mass after the collision. Let the final velocity of the combined mass be V.
Since momentum is conserved in all collisions, we can equate the initial and final momenta:
Initial momentum = Final momentum
(Mass A * Velocity A) + (Mass B * Velocity B) = (Mass A + Mass B) * V
(10 kg * 10 m/s) + (5 kg * 10 m/s) = (10 kg + 5 kg) * V
100 kg·m/s + 50 kg·m/s = 15 kg * V
150 kg·m/s = 15 kg * V
V = 150 kg·m/s / 15 kg
V = 10 m/s
Now, we can calculate the final kinetic energy using the formula:
Final kinetic energy = (1/2) * (Mass A + Mass B) * (Velocity)^2
Final kinetic energy = (1/2) * (10 kg + 5 kg) * (10 m/s)^2 = 750 J
Since the initial kinetic energy (750 J) is not equal to the final kinetic energy (750 J), we can conclude that kinetic energy is not conserved during the collision.
Therefore, the collision between ball A and ball B is an inelastic collision.