A car weighing 10 tons moves downhill along the road, making an angle with the horizon equal to 4 °

A car weighing 10 tons moves downhill along the road, making an angle with the horizon equal to 4 °. Find the work of gravity on a path of 100 m.

To find the value of the work of gravity on the path of the presented car, we apply the formula: A = Fт * S * cosα = m * g * S * cos (90º – β) = m * g * S * sinβ; the reduction formula was used: cos (90º – β) = sinβ.

Variables and constants: m (mass of the presented car) = 10 t = 10 ^ 4 kg; g – acceleration of gravity (g = 9.81 m / s2); S – path (S = 100 m); β – angle of inclination of the road (β = 4º).

Calculation: A = m * g * S * sinβ = 10 ^ 4 * 9.81 * 100 * sin 4º = 684.3 * 10 ^ 3 J.

Answer: The work of gravity, according to the calculation, is 684.3 kJ.