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Physics Answers

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QUESTION FIVE<br />

New car models are crash tested under laboratory conditions to<br />

ensure that safety standards are met. A 1500 kg car is accelerated<br />

to a speed of 30 ms -1 from stationary in 6 seconds, before hitting a<br />

brick wall without braking.<br />

(a) Calculate the force the causes the car to accelerate.<br />

Modern cars are built with crumple zones, this means that the cars<br />

are designed to fold up (crumple) as they hit an object. This results<br />

in a lot more damage to the car, but reduces injury to the<br />

passengers by increasing the TIME the car takes to stop completely<br />

during a crash.<br />

(b)<br />

Crumple zone<br />

Discuss the energy and forces involved as the car drives<br />

towards the wall, then crashes into it. In your answer:<br />

Describe the energy transformations that take<br />

place<br />

Calculate the energy the car has the instant<br />

before it hits the wall<br />

Explain how the crumple zone works to reduce the<br />

force on impact and reduce injury<br />

QUESTION FIVE ANSWERS<br />

(a) Achievement requires correct acceleration calculation (a)<br />

a = 30/6 = 5 ms -2<br />

Merit requires correct force calculation from acceleration (m)<br />

F = ma = 1500 x 5<br />

= 7500 N<br />

(b) Achievement requires ONE correct statement (a)<br />

Eg:<br />

Kinetic energy heat energy (as friction) + sound (a)<br />

(sound not required)<br />

OR<br />

Kinetic energy calculated<br />

Energy E k = 1/2mv 2 = ½ x 1500 x 30 2 = 675000 J (675kJ)<br />

Merit requires Energy transformation AND kinetic energy calculation OR<br />

explanation of crumple zone (m) Eg:<br />

Kinetic energy heat energy (as friction) + sound AND<br />

Energy E k = 1/2mv 2 = ½ x 1500 x 30 2 = 675000 J (675kJ) (m)<br />

OR<br />

Crumple zone increases stopping time, ie. deceleration is less which decreases<br />

the forces (F = ma) (m)<br />

Excellence needs discussion energy transformation, with kinetic energy or<br />

force linked to explanation of crumple zone (e) Eg:<br />

The car has a large amount of kinetic energy, ie.<br />

E k = 1/2mv 2 = ½ x 1500 x 30 2<br />

= 675000 J (675kJ) just before it hits the wall.<br />

All of this energy must be transformed as the car stops, mostly into heat through<br />

friction, and some sound. As the car hits the wall, it decelerates rapidly, giving a<br />

very large force. A crumple zone allows the car to stop more slowly, ie. it<br />

decreases the deceleration by allowing the energy to be releases as heat over a<br />

longer time. Using F = ma, if a is smaller due to longer stopping time, then force<br />

must be less. If a passenger’s body decelerates more slowly with less force, less<br />

damage/injury will result. A car with no crumple zone will stop completely more<br />

quickly, ie. large deceleration so a larger force and greater damage. (e)

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