Determine the mass and displacement of the body for 10 s of movement, if the force of 100 N
Determine the mass and displacement of the body for 10 s of movement, if the force of 100 N imparts to it an acceleration of 0.2 m / s2 and the initial velocity is zero.
t = 10 s.
F = 100 N.
a = 0.2 m / s ^ 2.
V0 = 0 m / s.
m -?
S -?
We find the mass of the body m from 2 Newton’s law, according to which the mass of the body m is determined by the formula: m = F / a, where F is the force that acts on the body, a is the acceleration of the body under the action of the force.
m = 100 N / 0.2 m / s ^ 2 = 500 kg.
When moving with constant acceleration a and initial zero speed V0 = 0 m / s, the movement of the body S is determined by the formula: S = a * t ^ 2/2, where t is the time of movement.
S = 0.2 m / s ^ 2 * (10 s) ^ 2/2 = 10 m.
Answer: the body has a mass m = 500 kg and moves S = 10 m.