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As part of a safety investigation, two 1300 kg cars traveling at 17 m/s are crashed into different barriers. Find the average forces exerted on:

a. the car that hits a line of water barrels and takes 1.5 s to stop
b. the car that hits a concrete barrier and takes 0.10 s to stop.

1 Answer

1 vote

Answer:

a. F = 14,733.33 N

b. F = 221,000 N

Step-by-step explanation:

Given;

mass of the cars, m = 1300 kg

velocity of the cars, v = 17 m/s

time taken for the first car to stop after hitting a barrier, t = 1.5 s

time taken for the second car to stop after hitting a barrier, t = 0.1 s

The average forces exerted on each car is calculated as follows;

a. the car that hits a line of water barrels and takes 1.5 s to stop


F = ma = m* (v)/(t) = 1300 * (17)/(1.5) = 14,733.33 \ N\\\\F = 14,733.33 \ N

b. the car that hits a concrete barrier and takes 0.10 s to stop


F = ma = m* (v)/(t)= 1300 * (17)/(0.1) = 221,000 \ N\\\\F = 221,000 \ N

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