The initial speed of the machine is 20 m / s. After shutdown, it stopped after 3 seconds.
| September 28, 2021 | education
The initial speed of the machine is 20 m / s. After shutdown, it stopped after 3 seconds. Resistance force 6000n. Weight?
V0 = 20 m / s.
V = 0 m / s.
t = 3 s.
Fcopr = 6000 N.
m -?
We express the mass of the car m according to Newton’s 2 law, the ratio of the resistance force Fcopr to the acceleration of the car a: m = Fcopr / a.
The acceleration of the machine a shows how its speed V changes over time t. We express the acceleration of the car by the formula: a = (V0 – V) / t.
Since the car at the end of its movement stopped V = 0 m / s, the formula for acceleration will take the form: a = V0 / t.
m = Fcopr * t / V0.
m = 6000 N * 3 s / 20 m / s = 900 kg.
Answer: the machine has a mass of m = 900 kg.
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