An automobile is sliding across an icy street at a speed of 66.9 km/h and it collides with a parked car. The two cars lock up and they slide together with a speed of 36.1 km/h. If the mass of the parked car is 1280 kg, then what is the mass of the first car

The mass of the first car is 1498.31 kg.

Explanation:

Given that,

Initial speed of an automobile,

Initial speed of the car is 0 as it is at rest,

After the collision, the two cars lock up and they slide together with a speed of, V = 36.1 km/h = 10.02 m/s

The mass of the parked car,

We need to find the mass of the first car. It is a case of inelastic collision in which two objects stick together. The conservation of momentum follows here. So,

is the mass of the first car

After rearranging we get :

So, the mass of the first car is 1498.31 kg. Hence, this is the required solution.

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