# What work needs to be done to accelerate a stationary vehicle weighing

September 14, 2021 | education

| **What work needs to be done to accelerate a stationary vehicle weighing 1.5 tons to a speed of 36 km / h? Disregard the forces of resistance to movement.**

Task data: m (vehicle weight) = 1.5 t (1500 kg); V (the speed to which the car should be accelerated) = 36 km / h (10 m / s; the car was stationary (V0 (initial speed) = 0 m / s).

The work perfect for accelerating the car will be equal to the change in its kinetic energy and can be calculated by the formula: A = ΔEk = 0.5 * m * (V ^ 2 – V0 ^ 2).

Let’s make a calculation: A = 0.5 * 1500 * (10 ^ 2 – 0 ^ 2) = 75000 J (75 kJ).

Answer: To accelerate the car to 36 km / h, it will take 75 kJ work.

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