Two cars are travelling in the same direction along a street. Car A collides with Car B and they lock together. Calculate tgeur velocity after the collision.
Before: Car A: mass of 1001kg.
Velocity of 12m/s
Car B: mass of 1200kg
Velocity of 10m/s
After: V=?
momentum is conserved.
original momentum=final mometum
MassA*Va+MassB*Vb=(MassA+MassB)V
To calculate the velocity of the two cars after the collision, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is given by the product of its mass and velocity.
Before the collision, Car A has a mass of 1001 kg and a velocity of 12 m/s. The momentum of Car A before the collision is calculated as follows:
Momentum of Car A before = mass of Car A x velocity of Car A
= 1001 kg x 12 m/s
Similarly, Car B has a mass of 1200 kg and a velocity of 10 m/s. The momentum of Car B before the collision is:
Momentum of Car B before = mass of Car B x velocity of Car B
= 1200 kg x 10 m/s
Now, let's calculate the total momentum before the collision:
Total momentum before = Momentum of Car A before + Momentum of Car B before
After the collision, the two cars lock together, so their combined mass can be obtained by adding the individual masses:
Combined mass = mass of Car A + mass of Car B
To find the velocity after the collision (V), we divide the total momentum before the collision by the combined mass:
V = Total momentum before / Combined mass
Let's plug in the given values to calculate the velocity of the two cars after the collision.