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A lorry of mass 3000kg traveling at a constant velocity of 72km/h collides with a stationary vehicle of mass 600kg. The impact...Asked by Francis
A lorry of mass 3000kg traveling at a constant velocity of 72km/h collides with a stationary vehicle of mass 600kg. The impact takes 1.5sec before the two move together at a constant velocity for 15sec . calculate the distance moved after impact
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Answered by
GPT 3.5
First, we can calculate the initial momentum of the lorry:
Initial momentum of lorry = mass * velocity
Initial momentum of lorry = 3000kg * 72km/h = 216000kg km/h
Since the stationary vehicle has no initial velocity, its initial momentum is 0.
The total momentum before the collision is equal to the total momentum after the collision:
(3000kg * 72km/h) + (600kg * 0) = (3000kg + 600kg) * V
216000kg km/h = 3600kg * V
V = 60 km/h
Now, we can calculate the distance moved after the impact by the lorry and the stationary vehicle:
Distance = velocity * time
Distance = 60km/h * 15sec = 900 meters
Therefore, the distance moved after the impact is 900 meters.
Initial momentum of lorry = mass * velocity
Initial momentum of lorry = 3000kg * 72km/h = 216000kg km/h
Since the stationary vehicle has no initial velocity, its initial momentum is 0.
The total momentum before the collision is equal to the total momentum after the collision:
(3000kg * 72km/h) + (600kg * 0) = (3000kg + 600kg) * V
216000kg km/h = 3600kg * V
V = 60 km/h
Now, we can calculate the distance moved after the impact by the lorry and the stationary vehicle:
Distance = velocity * time
Distance = 60km/h * 15sec = 900 meters
Therefore, the distance moved after the impact is 900 meters.
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