What force acts on a material point (mass 6 kg) if the equation of its motion is x = 7-7t + 8t ^ 2?
| June 17, 2021 | education
m = 6 kg.
x (t) = 7 – 7 * t + 8 * t ^ 2.
F -?
According to 2 laws, the force F, which acts on a body, is determined by the product of its mass m by the acceleration a: F = m * a.
From the dependence of the coordinates of the body on time x (t) = x0 + V0 * t + a * t ^ 2 we see that the body moves uniformly with the initial coordinate x0 = 7 m, initial velocity V0 = -7 m / s, acceleration a = 16 m / s2.
The “-” sign in front of the speed shows that the body first decelerates and then starts to accelerate.
F = 6 kg * 16 m / s2 = 96 N.
Answer: a force F = 96 N acts on the body, directed in the opposite direction of the body’s movement.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
