Answer:
Heya
Step-by-step explanation:
To calculate the work done by the tractor-trailer's brakes to stop it, we can use the work-energy principle.
The work done (W) is equal to the change in kinetic energy (ΔKE).
The initial kinetic energy (KEi) of the tractor-trailer can be calculated using the formula KE = (1/2)mv^2, where m is the mass and v is the velocity.
KEi = (1/2)(36,287.4 kg)(15.64 m/s)^2
To come to a complete stop, the final velocity (vf) is 0 m/s. Therefore, the final kinetic energy (KEf) is 0.
ΔKE = KEf - KEi = 0 - [(1/2)(36,287.4 kg)(15.64 m/s)^2]
Using this value of ΔKE, we can determine the work done by the brakes.
Work (W) = ΔKE = -[(1/2)(36,287.4 kg)(15.64 m/s)^2]
The negative sign indicates that work is done to oppose the motion of the tractor-trailer.
Calculating the expression above will give you the amount of work done by the tractor-trailer's brakes to bring it to a complete stop.
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