The car starting from a place after 100 m has reached a speed of 72 km / h, find the mass of the car if its traction force is 2kN
| March 8, 2021 | education
Initial data: S (distance traveled) = 100 m; V0 (initial speed) = 0 m / s, the car started moving from a standstill; V (final speed) = 72 km / h = 20 m / s; F (engine thrust) = 2 kN = 2000 N.
1) Let’s calculate the acceleration of the car.
S = (V ^ 2 – V0) / 2a = V ^ 2 / 2a.
a = V ^ 2 / 2S.
a = 20 ^ 2 / (2 * 100) = 400/200 = 2 m / s2.
2) Calculate the mass of the car using Newton’s second law:
F = m * a and m = F / a.
m = 2000/2 = 1000 kg or 1 t.
Answer: The mass of the car is 1 ton.
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