Question

Consider two cars that are on course for a head-on collision. If they have masses

m1 = 1,250 kg and m2 = 1,800 kg and are both traveling at 29 m/s, what is the magnitude of the total momentum?

Answer 1

To find the magnitude of the total momentum of the two cars, we can use the principle of conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision, assuming no external forces are acting on the system.

The momentum (p) of an object is given by the product of its mass (m) and velocity (v):

p = m * v

For car 1:

Mass (m1) = 1,250 kg

Velocity (v1) = 29 m/s

For car 2:

Mass (m2) = 1,800 kg

Velocity (v2) = 29 m/s

The total momentum (ptotal) is the sum of the individual momenta:

ptotal = p1 + p2

ptotal = (m1 * v1) + (m2 * v2)

ptotal = (1,250 kg * 29 m/s) + (1,800 kg * 29 m/s)

Calculating the total momentum:

ptotal = 36,250 kg·m/s + 52,200 kg·m/s

ptotal = 88,450 kg·m/s

Therefore, the magnitude of the total momentum of the two cars is 88,450 kg·m/s.

Step-by-step explanation:

Hehe sorry for no explain