Question

Тіло рухається згідно з рівнянням = 14 + 5 − 0,22 під дією сили 16 кН. Визначте його масу. Помогите пожалуйста нужно расписать решение ​

Answer 1

Можливо, є помилка у написанні задачі).

Answer 2

Problem Analysis

We are given the equation of motion for an object, as well as the force acting on it. We need to determine the mass of the object. To solve this problem, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

Solution

1. Given: - Equation of motion: 14t + 5t^2 - 0.22t^3 - Force: 16 kN

2. We know that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, the acceleration is the second derivative of the equation of motion with respect to time (t). So, we can write: - F = m * a - F = m * (d^2x/dt^2)

3. To find the acceleration, we need to take the second derivative of the equation of motion with respect to time (t). Let's calculate it: - d^2x/dt^2 = d/dt (d/dt (14t + 5t^2 - 0.22t^3)) - d^2x/dt^2 = d/dt (14 + 10t - 0.66t^2) - d^2x/dt^2 = 10 - 1.32t

4. Now, we can substitute the given force and the calculated acceleration into Newton's second law equation: - 16 kN = m * (10 - 1.32t)

5. We need to convert the force from kilonewtons (kN) to newtons (N) to match the units of mass (kg) and acceleration (m/s^2). Since 1 kN = 1000 N, the force can be written as: - 16 kN = 16,000 N

6. Substituting the force value into the equation: - 16,000 N = m * (10 - 1.32t)

7. Now, we need to solve the equation for mass (m). Since we don't have the value of time (t), we cannot determine the exact mass. However, we can solve for mass in terms of time: - m = (16,000 N) / (10 - 1.32t)

Conclusion

The mass of the object can be determined using the equation m = (16,000 N) / (10 - 1.32t), where t represents time. However, without knowing the value of time (t), we cannot determine the exact mass.