A car weighing 2 tons moves at a speed of 36 km / h. How long does it take to stop the car completely after turning

univerkov | December 28, 2020 | education

A car weighing 2 tons moves at a speed of 36 km / h. How long does it take to stop the car completely after turning off the engine, if the friction force of the wheels on the road is 5880.

Data: m (mass of a moving vehicle) = 2 t (2000 kg); V0 (vehicle speed before turning off the engine) = 36 km / h (10 m / s); Ftr (friction force of wheels on the road) = 5880 N.
1) Determine the acceleration of the vehicle during braking: Ftr. = F = m * a and a = F / m = 5880/2000 = 2.94 m / s2.
2) Let’s calculate the time until the car stops completely: V = V0 – a * t; 0 = V0 – a * t and t = V0 / a = 10 / 2.94 = 3.4 s.
Answer: It will take 3.4 seconds for the vehicle to come to a complete stop.

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