A7500 kg truck traveling at 5m/s east collides with a 1500kg car moving at 20m/s in a direction 30 degrees south of west. after collision, the two vehicles remain tangled together. with what speed and in what direction does the wreckage begin to move?

The speed and direction of the wreckage is 2.09 m/s and 52.74°.

Explanation:

Given that,

Mass of truck = 7500 kg

Speed of truck = 5 m/s

Mass of car = 1500 kg

Speed of car = 20 m/s

Angle = 30°

We need to calculate the velocity after collision along east

Using conservation of momentum

Put the value into the formula

We need to calculate the velocity after collision along north

Using conservation of momentum

Put the value into the formula

The resultant velocity is

Put the value into the formula

We need to calculate the direction

Using formula of direction

Put the value into the formula

Hence, The speed and direction of the wreckage is 2.09 m/s and 52.74°.

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