The coordinate of a rectilinearly moving body changes according to the law x = 500-10t. Find the body impulse if the body mass is 500 kg.
x (t) = 500 – 10 * t.
m = 500 kg.
The momentum of the body p is called a vector physical quantity equal to the product of the mass of the body m by the speed of its movement m: p = m * V.
The coordinate of the body with uniform rectilinear motion is described by the formula: x (t) = х0 + V * t, where х0 is the initial coordinate of the body, V is the speed of its movement.
In our dependence x (t) = 500 – 10 * t, the initial coordinate x0 = 500 m and the speed of movement is V = 10 m / s. Since there is a “-” sign in front of the speed, this means that the body is moving in the opposite direction of the OX axis.
p = 500 kg * 10 m / s = 5000 kg * m / s.
Answer: the momentum of the body is p = 5000 kg * m / s and directed in the opposite direction of the direction of the OX axis.
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