Under the action of a force of 150N, the body moves in a straight line. Find its mass if the coordinate changes according to the law x = 100 + 5t + 0.5t ^ 2
F = 150 N.
x (t) = 100 + 5 * t + 0.5 * t ^ 2.
To find the body mass m, we will use Newton’s 2 law. The mass of a body m is the ratio of the force F, which acts on it, to the acceleration a, which this force imparts: m = F / a.
When moving with constant acceleration a, the coordinate of the body changes according to the law: x (t) = x0 + V0 * t + a * t ^ 2/2, where x0 is the initial coordinate of the body, V0 is the initial velocity of the body.
For the dependence x (t) = 100 + 5 * t + 0.5 * t ^ 2, x0 = 100 m, V0 = 5 m / s, a = 1 m / s2.
m = 150 N / 1 m / s2 = 150 kg.
Answer: the body has a mass m = 150 kg.
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