A car with a mass of 4 tons moves uphill with an acceleration of 0.2 m / s2.

A car with a mass of 4 tons moves uphill with an acceleration of 0.2 m / s2. Find the pulling force if the slope is 0.02 and the coefficient of friction is 0.04. * Slope means: sin α ≈ 0.02 and cos α ≈ 1.

1. Let’s write down the formulas for solving the problem:
m * a = F + N + F + m * g;
2. Find:
x: m * a = F – F – m * g * sin a;
y: 0 = N – m * g * cos a;
F = u * N;
3.F = m * a + m * g * (u * cos a + sin a);
Let’s substitute:
F = 4000 * 0.2 + 4000 * 10 * (0.004 + 0.02);
F = 3200 N;
F = 3.2 kN.
Answer: F = 3.2 kN.