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Answer :
Final answer:
A car moving at 120 km/h will skid 80 m with locked brakes since the skidding distance of a car is proportional to the square of its speed rather than directly proportional to the speed.
Explanation:
The behavior of a car skidding with locked brakes is an example of a physics concept known as 'uniform motion'.
It's important to understand that the skidding distance of a car with locked brakes isn't proportional to the speed,
but proportional to the square of the speed.
So,
if a car moving at 60 km/h skids 20 m,
then at 120 km/h (which is twice 60 km/h)
the skid distance won't be 2 times 20 m, but rather (2^2) times 20 m.
So, using this principle, we can calculate the skidding distance at 120 km/h. This is done by squaring the multiplier of the initial speed (which is 2 because we doubled the speed) and multiplying by the initial skid distance. Hence, 2^2 * 20 m which equals 80 m.
A car moving at 120 km/h with locked brakes will skid a distance of 80 m.
Learn more about Physics of car skidding here:
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