Question

Тело массой 2 кг движется вдоль оси ОХ. Его координата меняется в соответствии с уравнением х = А +Bt + Ct^3, где А = 2 м, В = 3 м/с, С = 5 м/с^2. Чему равен импульс тела в момент времени t = 2 c?

Answer 1

Ответ:

Объяснение:

Дано:

m = 2 кг

x(t) = A + B·t +C·t³

A = 2 м

B = 3 м/с

С = 5 м/с²

t = 2 c

___________

p - ?

1)

Запишем общее уравнение с учетом данных:

x(t) = 2 + 3·t +5·t³

Найдем уравнение скорости как первую производную от координаты:

V(t) = x' = 3 + 15·t²

2)

В момент времени t = 2 c :

V(2) =  3 + 15·2² = 63 м/с

Импульс:

p = m·V = 2·63 = 126 кг·м/с

Answer 2

Ответ:

импульс - это m*V. V=B+Ct, следовательно получим 2*(3+5*2)=2*13=26кг*м/с

Answer 3

Calculation of the Momentum of an Object

To calculate the momentum of an object at a specific time, we need to use the equation p = m * v, where p represents momentum, m represents mass, and v represents velocity.

In this case, we are given that the mass of the object is 2 kg. To find the velocity at a specific time, we can use the equation x = A + Bt + Ct^3, where x represents the position of the object, A represents 2 m, B represents 3 m/s, and C represents 5 m/s^2.

To find the velocity, we need to take the derivative of the position equation with respect to time. Taking the derivative of x = A + Bt + Ct^3 gives us v = B + 3Ct^2.

Now, we can substitute the given values into the equations to find the momentum at a specific time.

At time t = 2 s, the equation for velocity becomes v = 3 + 3(5)(2)^2.

Let's calculate the momentum using the given values:

Mass (m) = 2 kg

Velocity (v) = 3 + 3(5)(2)^2 = 3 + 3(5)(4) = 3 + 3(20) = 3 + 60 = 63 m/s

Now, we can calculate the momentum using the equation p = m * v:

Momentum (p) = 2 kg * 63 m/s = 126 kg*m/s

Therefore, the momentum of the object at time t = 2 s is 126 kg*m/s.

Please note that the calculations provided above are based on the given information and equations.