A minibus of mass 3000kg,travelling at a speed of 30m.s to the right,collides with a car of mass 1600kg,travelling at 16m.s to the right. After collision the car continues to travel to the right at a speed of 17,2m.s. Calculate the speed of the minibus immidiately after the collision
conservation of momentum:
3000*30+1600*16=1600*17.2+3000V solve for V
To calculate the speed of the minibus immediately after the collision, we need to apply the law of conservation of momentum. According to this law, the total momentum before the collision is equal to the total momentum after the collision.
The momentum (p) of an object is calculated as the product of its mass (m) and velocity (v):
p = m * v
Before the collision, the total momentum is:
Initial momentum of the minibus = mass of minibus * velocity of minibus
Initial momentum of the car = mass of car * velocity of car
After the collision, the total momentum is:
Final momentum of the minibus = mass of minibus * final velocity of minibus
Final momentum of the car = mass of car * final velocity of car
Since the total momentum before the collision is equal to the total momentum after the collision, we can set up the following equation:
Initial momentum of the minibus + Initial momentum of the car = Final momentum of the minibus + Final momentum of the car
Let's plug in the given values:
Mass of minibus (m1) = 3000 kg
Velocity of minibus (v1) = 30 m/s
Mass of car (m2) = 1600 kg
Velocity of car (v2) = 16 m/s
Final velocity of car (v2') = 17.2 m/s (given)
Now we can solve for the final velocity of the minibus (v1').
m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'
3000 kg * 30 m/s + 1600 kg * 16 m/s = 3000 kg * v1' + 1600 kg * 17.2 m/s
90000 kg m/s + 25600 kg m/s = 3000 kg * v1' + 1600 kg * 17.2 m/s
115600 kg m/s = 3000 kg * v1' + 1600 kg * 17.2 m/s
115600 kg m/s - 1600 kg * 17.2 m/s = 3000 kg * v1'
115600 kg m/s - 27520 kg m/s = 3000 kg * v1'
88080 kg m/s = 3000 kg * v1'
v1' = 88080 kg m/s / 3000 kg
v1' ≈ 29.36 m/s
Therefore, the speed of the minibus immediately after the collision is approximately 29.36 m/s to the right.