A car weighing 1000 kg accelerates from a standstill and reaches a speed of 20 m / s.
May 19, 2021 | education
| A car weighing 1000 kg accelerates from a standstill and reaches a speed of 20 m / s. How long did it take him for this, if the resultant of all the forces acting on the car is 500 N.
m = 1000 kg.
V0 = 0 m / s.
V = 20 m / s.
Fr = 500 N.
t -?
According to 2 Newton’s law, the resultant of all forces Fр, which act on the body, is equal to the product of the body’s mass m by its acceleration a: Fр = m * a.
Vehicle acceleration a shows how its speed V changes over time t: a = (V – V0) / t.
Fр = m * (V – V0) / t.
The car acceleration time t will be determined by the formula: t = m * (V – V0) / Fр.
t = 1000 kg * (20 m / s – 0 m / s) / 500 N = 40 s.
Answer: the car acceleration time is t = 40 s.
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