The snowmobile accelerates from standstill to a speed of 20 m / s in 10 seconds. In this case, the average resistance

| September 23, 2021 | education

The snowmobile accelerates from standstill to a speed of 20 m / s in 10 seconds. In this case, the average resistance force acting on the sleigh with a passenger is 200 N. What work does the engine perform during this time, if the mass of the sleigh with a passenger is 200 kg?

To find out the operation of the engine of the considered snowmobile, we will use the formula: A = Ftag * S = (F + Fcopr) * V ^ 2 / 2a = (m * a + Fcopr) * V ^ 2 / (2V / t) = (m * V / t + Fcopr) * V * t / 2.

Data: m is the mass of the considered snowmobile with a passenger (m = 200 kg); V is the speed reached by the aerosleds (V = 20 m / s); t – acceleration duration (t = 10 s); Fsopr – resistance force (Fsopr = 200 N).

Let’s calculate: A = (m * V / t + Fcopr) * V * t / 2 = (200 * 20/10 + 200) * 20 * 10/2 = 60 * 10 ^ 3 J.

Answer: The engine of the aerosled under consideration had to perform work of 60 kJ.



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