Question

Швидкість прямолінійного руху тіла під дією сили 15Н змінюється за законом vx=2+0,7⋅t (значення величин у формулі наведено в СІ). Визнач масу тіла.

Answer 1

Ответ:

≈ 21,4 кг

Объяснение:

Дано:

F = 15 H

v = 2 + 0.7t   (м/с)

Найти:

m - массу тела

Решение:

Ускорение тела

а = v' = 0.7 (м/с²)

По 2-му закону Ньютона

ma = F

откуда масса тела

m = F : a = 15 : 0.7 ≈ 21.4 (кг)

Answer 2

Calculation of Mass of the Body

To determine the mass of the body, we can use the equation of motion for the given linear motion:

vx = 2 + 0.7t

In this equation, vx represents the velocity of the body, t represents time, and the coefficient 0.7 is a constant.

The force acting on the body is given as 15 N. According to Newton's second law of motion, the force acting on an object is equal to the mass of the object multiplied by its acceleration:

F = m * a

In this case, the acceleration can be calculated as the derivative of velocity with respect to time:

a = d(vx)/dt

To find the mass of the body, we need to solve for m. We can start by differentiating the equation of motion with respect to time:

d(vx)/dt = d(2 + 0.7t)/dt

Differentiating the equation, we get:

a = 0 + 0.7

Now, we can substitute the value of acceleration into Newton's second law equation:

15 = m * 0.7

Solving for m, we find:

m = 15 / 0.7

Calculating the value, we get:

m ≈ 21.43 kg

Therefore, the mass of the body is approximately 21.43 kg.