Question

Материальная точка движется с ускорением 8 м/с^2, приняв её массу равной 2 кг, найти импульс через 2 с после начала отсчёта времени, а также силу, вызвавшую это изменение импульса

Answer 1

Дано:
a=8м/с^2
m=2кг
t=2c
P=?
F=?
Решение:
P=m*U
a=ΔU/t ⇒ U=a*t
P=m*a*t
P=2*8*2=32(кг*м/с)
По 2 Закону Ньютона:
F=ma
F=2*8=16(м/с)
Ответ: 32 кг*м/с; 16 м/с

Answer 2

Calculation of Impulse and Force

To find the impulse and force acting on a material point, we need to use the equations of motion. Given that the material point is moving with an acceleration of 8 m/s^2 and has a mass of 2 kg, we can calculate the impulse and force after 2 seconds.

The impulse (I) is defined as the change in momentum of an object and can be calculated using the equation:

I = m * Δv

where: - I is the impulse - m is the mass of the object - Δv is the change in velocity

In this case, the change in velocity (Δv) can be calculated using the equation of motion:

Δv = a * t

where: - a is the acceleration - t is the time

Substituting the given values, we have:

Δv = 8 m/s^2 * 2 s = 16 m/s

Now, we can calculate the impulse:

I = 2 kg * 16 m/s = 32 kg·m/s The impulse is equal to 32 kg·m/s.

To calculate the force (F) that caused this change in impulse, we can use the equation:

F = Δp / Δt

where: - F is the force - Δp is the change in momentum - Δt is the change in time

Since impulse is equal to the change in momentum, we can rewrite the equation as:

F = I / Δt

Substituting the given values, we have:

F = 32 kg·m/s / 2 s = 16 N

The force is equal to 16 Newtons.

Therefore, the impulse after 2 seconds is 32 kg·m/s, and the force that caused this change in impulse is 16 Newtons.