Under the action of a force of 150 N, the body moves rectilinearly so that its coordinate changes

Under the action of a force of 150 N, the body moves rectilinearly so that its coordinate changes according to the law x = 100 + 5t + 0.5t2. What is body weight?

Initial data: F (force acting on the body) = 150 N; the law of variation of the coordinates of the body x = 100 + 5t + 0.5t ^ 2.

1) Let’s calculate the acceleration with which the body will move (you need to take the second-order derivative of the law of coordinate change): a = V ‘= x’ ‘= (100 + 5t + 0.5t ^ 2)’ ‘= (0 + 5 * 1 + 0.5 * 2 * t) ‘= (5 + t)’ = (0 + 1 * 1) = 1 m / s ^ 2.

2) Determine the body mass: F = m * a, whence m = F / a = 150/1 = 150 kg.

Answer: Body weight is 150 kilograms.