A car weighing 500 kg, accelerating from a standstill with uniform acceleration, reached a speed of 20

| August 9, 2021 | education

A car weighing 500 kg, accelerating from a standstill with uniform acceleration, reached a speed of 20 m / s in 10 seconds. Find the resultant of all forces.

To find the resultant of all forces F, which causes acceleration a in a body with mass m, we use Newton’s second law: F = m ∙ a. Acceleration is defined as the ratio of the change in speed to the time during which it occurred: a = (v – v₀) / t, then:

F = m ∙ (v – v₀) / t.

From the condition of the problem, it is known that a car with a mass of m = 500 kg, accelerating from a standstill with uniform acceleration, that is, v₀ = 0 m / s, reached a speed of v = 20 m / s in a time t = 10 s. Substitute the values of the quantities into the calculation formula:

F = 500 kg ∙ (20 m / s – 0 m / s) / 10 s; F = 1000 N = 1 kN.

Answer: the resultant of all forces is 1 kN.



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