# Determine the force with which the boy moved the cart at a distance of l = 20.0 m. The force is constant and directed

March 29, 2021 | education

| **Determine the force with which the boy moved the cart at a distance of l = 20.0 m. The force is constant and directed at an angle a = 30 degrees to the horizon. The work that the force performed is equal to A = 1.73 kJ.**

Problem data: S (distance the boy moved the cart) = 20 m; α (the angle between the vector of the force applied by the boy and the vector of the trolley movement) = 30º; A (boy’s work) = 1.73 kJ (1.73 * 10 ^ 3 J).

The force with which the boy moved the cart can be expressed from the formula: A = F * S * cosα, whence F = A / (S * cosα).

Let’s calculate: F = 1.73 * 10 ^ 3 / (20 * cos 30º) ≈ 100 N.

Answer: The boy applied a force of 100 N. to the cart.

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