X=4+20t+5t²
m=5кг. F=?

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вопрос

To solve for F, we need to first calculate the force acting on the mass m at a given time t. The force acting on a mass is equal to the mass times the acceleration.

Given that X = 4 + 20t + 5t^2, we can determine the acceleration by taking the derivative of X with respect to t twice:

X = 4 + 20t + 5t^2
V = dX/dt = 20 + 10t
a = dV/dt = 10

Therefore, the acceleration of the mass is a = 10.

Now, we can calculate the force acting on the mass m = 5kg:

F = m a
F = 5kg 10
F = 50 N

Therefore, the force acting on the mass m = 5kg is 50 Newtons.