Investigation of the Relationship Between Mass of a Vehicle and Its Stopping Distance

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Investigation of the Relationship Between Mass of a Vehicle and Its Stopping Distance

Problem

The problem to be investigated is "how does the mass of a vehicle

affect its stopping distance when brakes are applied?" This problem is

related to the conservation of energy and will be investigated through

a trolley going down a ramp. A simple trolley will be used to

represent the vehicle and weights attached to the rear of the trolley

via a pulley system will act as the brakes. Throughout the experiment

energy will be transferred into many forms but no energy will be lost

or gained. As the trolley is raised it gains potential energy, when

released down the ramp this energy is converted to kinetic energy.

When the trolley hits the horizontal surface all the energy will be

kinetic. As the trolley continues to roll the kinetic energy within

it, raises the weights on the pulley system. The kinetic energy is

therefore converted to potential energy in the weights. The stopping

distance of the trolley can be measured, therefore allowing us to

measure the potential energy in the trolley.

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When any mass is raised it gains gravitational potential energy. The

formula used to calculate potential energy is as follows: -

PE = mgh

Potential energy = Mass x Gravitational Pull x Height Raised

If there are no opposing forces acting upon the trolley then kinetic

energy should be equal to potential energy. The formula used to

calculate kinetic energy is as follows: -

KE = ½mv 2

Kinetic energy = ½ x mass x velocity 2

Planning

Apparatus

· Stool

· 2 ramps

· Trolley

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