A body weighing 2 kg moves along the x axis according to the law x = 7 + 10t + 5t². Determine the force acting on the body.

To determine the force acting on the considered moving body, we apply Newton’s second law: F = m * a = m * S (t) ”.

Variables and functions: m – mass of a moving body (m = 2 kg); the law of motion S (t) = x = 7 + 10t + 5t ^ 2.

Let’s perform the calculation: F = m * S (t) ” = 2 * (7 + 10t + 5t ^ 2) ” = 2 * (0 + 10 * 1 + 5 * 2t) ‘= 2 * (10 + 10t) ‘= 2 * (0 + 10 * 1) = 20 N.

Answer: The effective force is 20 N.