Question

На грузовик массой 4 тонны, движущейся прямолинейно со скоростью 5 м/с, насыпали 1000 кг песка. Какой стала скорость грузовика?

Answer 1

Ответ:

Объяснение:

Дано:

m₁ = 4 т = 4000 кг

m₂ = 1000 кг

V₁ = 5 м/с

_____________

V - ?

По закону сохранения импульса:

m₁·V₁ = (m₁ + m₂)·V

Скорость грузовика:

V = m₁·V₁ / (m₁ + m₂)

V = 4000·5 / (4000 + 1000) = 20 000 / 5 000 = 4 м/с

Answer 2

Ответ: 4м/с

Объяснение:

Дано:             СИ

m1=4т            4000кг

V1=5м/с

M=1000кг

___________

V2-?

m1*V1=(m1+M)*V2

V2=m1*V1/(m1+M)=4000*5/(4000+1000)=4м/с

Answer 3

Calculation of the final velocity of the truck

To calculate the final velocity of the truck after the sand is loaded onto it, we can use the principle of conservation of momentum. According to this principle, the total momentum before the sand is loaded is equal to the total momentum after the sand is loaded.

The momentum of an object is given by the product of its mass and velocity. Therefore, we can write the equation:

Initial momentum = Final momentum

The initial momentum of the truck is given by the product of its initial mass and velocity:

Initial momentum = (Mass of the truck) x (Initial velocity of the truck)

The final momentum of the truck is given by the product of its final mass (which includes the mass of the sand) and the final velocity of the truck:

Final momentum = (Mass of the truck + Mass of the sand) x (Final velocity of the truck)

Since the initial momentum is equal to the final momentum, we can set up the equation:

(Mass of the truck) x (Initial velocity of the truck) = (Mass of the truck + Mass of the sand) x (Final velocity of the truck)

Plugging in the given values:

- Mass of the truck = 4 tons = 4000 kg - Initial velocity of the truck = 5 m/s - Mass of the sand = 1000 kg

We can solve for the final velocity of the truck.

Calculation:

(4000 kg) x (5 m/s) = (4000 kg + 1000 kg) x (Final velocity of the truck)

Simplifying the equation:

20000 kg m/s = 5000 kg x (Final velocity of the truck)

Dividing both sides of the equation by 5000 kg:

Final velocity of the truck = 20000 kg m/s / 5000 kg

Final velocity of the truck = 4 m/s

Therefore, the final velocity of the truck after 1000 kg of sand is loaded onto it is 4 m/s.