Question

Произошло столкновение грузовика массой 4 т и легкового автомобиля массой 1,6 т. Грузовик получил ускорение ускорение 5 м/c (в квадрате). С каким ускорением двигался легковой автомобиль после столкновения?

Answer 1

M₁=4 т=4 000 кг          отношение взаимодействующих масс, обратно про-
a₁=5 м/с₂                     порционально их ускорениям, взятых со знаком "-"
m₂=1,6 т=1 600 кг            m₁/m₂= - a₂/a₁; выразим (а₂),
a₂-?                                   m₂a₂= - m₁a₁;
                                          a₂= - m₁a₁/m₂;  
                                          a₂= - 4 000*5/1 600= - 12,5 м/с².
                                          Ответ: а₂= - 12,5 м/с².

Answer 2

Calculation of the Acceleration of the Car After the Collision

To calculate the acceleration of the car after the collision, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

The momentum of an object is calculated by multiplying its mass by its velocity. In this case, we have a truck with a mass of 4 tons (or 4000 kg) and an acceleration of 5 m/s^2, and a car with a mass of 1.6 tons (or 1600 kg).

Before the collision, the truck has an initial velocity of 0 m/s, so its momentum is 0. The car also has an initial velocity of 0 m/s, so its momentum is also 0.

After the collision, the truck and the car move together with the same velocity. Let's assume this velocity is v.

According to the conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision:

(0 kg * 0 m/s) + (1600 kg * 0 m/s) = (4000 kg + 1600 kg) * v

Simplifying the equation:

0 + 0 = 5600 kg * v

Since the left side of the equation is 0, we can solve for v:

0 = 5600 kg * v

v = 0 m/s

Therefore, the car has zero velocity (and zero acceleration) after the collision. This means that the car comes to a stop after the collision with the truck.

Please note that the assumption made in this calculation is that there are no external forces acting on the car and the truck after the collision, such as friction or air resistance. This assumption allows us to simplify the calculation and focus on the conservation of momentum.

In summary, the car has zero acceleration after the collision with the truck.