A 12,000 kg truck moving to the right at 22 m/s collides with and sticks to a 1200 kg car moving to the right at 16 m/s. What speed do the two vehicles move after the collision in what direction
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Calculate the Kinetic energy converted to heat sound and instructive work in the collision described
M1*V1 + M2*V2 = M1*V + M2*V.
M1 = 12,000 kg, V1 = 22 m/s.
M2 = 1200 kg, V2 = 16 m/s.
V = ?.
To determine the speed of the two vehicles 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: momentum = mass × velocity.
We are given:
Mass of the truck (m₁) = 12,000 kg
Initial velocity of the truck (v₁) = 22 m/s
Mass of the car (m₂) = 1200 kg
Initial velocity of the car (v₂) = 16 m/s
Let's first calculate the total momentum before the collision:
Initial momentum of the truck = m₁ × v₁ = 12,000 kg × 22 m/s
Initial momentum of the car = m₂ × v₂ = 1200 kg × 16 m/s
Total initial momentum = Initial momentum of the truck + Initial momentum of the car
Now, since the collision is inelastic and the two vehicles stick together, the final velocity would be the same for both vehicles. Let's assume the final velocity after the collision is v.
Final momentum of the truck and car = (m₁ + m₂) × v
Now, applying the principle of conservation of momentum:
Total initial momentum = Total final momentum
m₁ × v₁ + m₂ × v₂ = (m₁ + m₂) × v
Plugging in the given values, we have:
(12,000 kg × 22 m/s) + (1200 kg × 16 m/s) = (12,000 kg + 1200 kg) × v
Now, we can solve for v to find the speed of the two vehicles after the collision.
To calculate the kinetic energy converted to heat, sound, and instructive work in the collision, we need additional information about the collision (e.g., coefficient of restitution, loss of kinetic energy, etc.). Without that specific information, it is difficult to determine the exact amount of energy that would be converted into those forms.