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Question 1 Railway level crossing accidents between vehicles and trains remain one of the greatest safety risks for rail operations in Australia....

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I need a full explaination including the formula that were used to solve this problem.

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Question 1 Railway level crossing accidents between vehicles and trains remain one of the greatest safety risks for rail operations in Australia. Over the period 2006-2011, 71% of collisions (64% of fatal collisions) involved light passenger and commercial road vehicles; to 4.5 tonne gross vehicle mass (Transport Safety Bulletin, August 2011, p1). In this case a light passenger vehicle weighing 1470 N collides with a train engine weighing 1.23 x 105 N, which was being moved from one rail siding to another. Figure 1 Railway Level Crossing Accidents (2012) As part of a rail incident investigation team, reviewing the potential of installing boom gates at railway level crossings, it is imperative you analyse the cause and outcomes of all incidences. The accompanying photograph was taken after clean up processes have commenced and the unconscious driver of the vehicle is about to be taken to hospital. Prior to this, you photographed and documented the accident scene; including generating a diagram of the accident scene highlighting measurements and positions of the vehicles. The train engine and the vehicle were entangled after the accident and from your measurements you have been able to determine they skidded 15 m before finally coming to rest at an angle of 68o to the crossing. The co-efficient of friction between the vehicle’s tyres and wet road surface are 0.25. The eyewitness reports highlight the passenger vehicle drove straight through the stop sign and ignored the warning horn blasts of the train and continued onto the railway level crossing without due care. You need to ascertain the vehicle’s actual entrance speed to the crossing and whether the driver has exceeded the speed limit of 60 km/hr.

Automobile-Train Crissing
Problem
Train weighing M g = 1.23 × 105 N collided with a car weighing mg = 1470N .
Given the friction coeﬃcient µ = 1 &amp; post collision, both vehicles were entan4...

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