Question

!!ТЕРМІНОВО!! Рух матеріальної точки описується рівнянням x = 10-1,5 г. Вважаючи, що маса точки дорівнює 200 г, визначте імпульс тіла та сили через 6 с від початку відліку часу. !!ТЕРМІНОВО!!

Answer 1

Як я зрозумів формула руху така x=10-1.5t

швідкість v=-1.5 м/с з рівняння руху x=x₀±vt , але для імпульса беремо скалярни значення, тобто по модулю ⇒ v=1.5 м/c

p=mv=0,2 кг×1,5 м/с=3 кг*м/с

Формула імпульсу по другому закону Ньютона буде

mv=FΔt

F=mv/Δt=3кг*м/с ÷ 6с=0,5 Н

Answer 2

Calculation of Impulse and Force

To determine the impulse and force of an object described by the equation x = 10 - 1.5t, where x is the position of the object and t is the time, we need to consider the mass of the object.

Given that the mass of the object is 200 g (0.2 kg), we can calculate the impulse and force using the following formulas:

Impulse (J) = Change in momentum (Δp) = mΔv

Force (F) = Rate of change of momentum (dp/dt)

To find the velocity of the object, we can differentiate the equation x = 10 - 1.5t with respect to time (t):

dx/dt = -1.5

This gives us the velocity of the object as -1.5 m/s.

Now, we can calculate the impulse and force at a specific time, which is 6 seconds from the start of the time measurement.

Impulse (J) = mΔv = (0.2 kg)(-1.5 m/s) = -0.3 kg·m/s

Force (F) = dp/dt = m(dv/dt) = (0.2 kg)(0) = 0 N

Therefore, at 6 seconds from the start of the time measurement, the impulse of the object is -0.3 kg·m/s, and the force acting on the object is 0 N.

Please note that the negative sign indicates the direction of the impulse and force, but since we don't have information about the direction in this case, we can only provide the magnitudes of the impulse and force.