Under the action of a constant force of 10 H, the body moves rectilinearly so that the dependence of the velocity on time

Under the action of a constant force of 10 H, the body moves rectilinearly so that the dependence of the velocity on time is described by the equation V = 2 + 0.5t1. With what acceleration does the body move?

F = 10 N.

V (t) = 2 + 0.5 * t.

a -?

m -?

Under the influence of a constant force F, according to Newton’s 2 law, the body moves uniformly.

With uniformly accelerated motion, the speed of the body V (t) changes according to the law: V (t) = V0 + a * t, where V0 is the initial speed of the body, and is the acceleration during motion.

Since V (t) = 2 + 0.5 * t, the initial velocity of the body is V0 = 2 m / s, the acceleration of the body is a = 0.5 m / s2.

According to 2 Newton’s law, the mass of a body m is equal to the ratio of the force F to the acceleration a, which is imparted by this force: m = F / a.

m = 10 N / 0.5 m / s2 = 20 kg.

Answer: a body with a mass of m = 20 kg moves with an acceleration a = 0.5 m / s2.