
Людина масою 60 кг біжить з швидкістю 8 м/с і доганяє візок масою 100кг і заскакує на нього. З якою
швидкістю будуть після цього рухатись візок з людиною?

Ответы на вопрос

Ответ: 3 м/с
Объяснение:




Calculation of the Final Velocity of the Cart with the Person
To determine the final velocity of the cart with the person after the person jumps onto it, we can use the principle of conservation of momentum. According to this principle, the total momentum before the person jumps onto the cart is equal to the total momentum after the person jumps onto the cart.
The momentum of an object is calculated by multiplying its mass by its velocity. In this case, the momentum of the person before jumping onto the cart is given by the product of their mass (60 kg) and their initial velocity (8 m/s). The momentum of the cart before the person jumps onto it is given by the product of its mass (100 kg) and its initial velocity (0 m/s, as it is initially at rest).
Using the principle of conservation of momentum, we can set up the following equation:
(mass of person * initial velocity of person) + (mass of cart * initial velocity of cart) = (mass of person and cart * final velocity of person and cart)
Substituting the given values into the equation, we have:
(60 kg * 8 m/s) + (100 kg * 0 m/s) = (60 kg + 100 kg) * final velocity
Simplifying the equation, we get:
480 kg*m/s = 160 kg * final velocity
Dividing both sides of the equation by 160 kg, we find:
final velocity = 480 kg*m/s / 160 kg = 3 m/s
Therefore, after the person jumps onto the cart, the cart with the person will move with a velocity of 3 m/s.
Note: The search results did not provide direct information about this specific scenario, so the calculation is based on the principle of conservation of momentum.


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