Question

Человек массой 60 кг, бежавший со скоростью 4м/с, прыгнул в тележку. Какова масса тележки, если она начала двигаться со скоростью 1м/с? ( с полным решением пожалуйста )

Answer 1

M1V1=(m1+m2)V2

V - здесь скорость 
 получается 
60*4 =60+ m2
m2=180 кг 

Answer 2

Problem Analysis

We are given the following information: - A person with a mass of 60 kg is running with a speed of 4 m/s. - The person jumps into a cart. - The cart starts moving with a speed of 1 m/s.

We need to find the mass of the cart.

Solution

To solve this problem, we can use the principle of conservation of momentum. According to this principle, the total momentum before the person jumps into the cart is equal to the total momentum after the person jumps into the cart.

The momentum of an object is given by the product of its mass and velocity. Mathematically, momentum (p) is defined as:

p = m * v

where: - p is the momentum of the object, - m is the mass of the object, and - v is the velocity of the object.

Let's assume the mass of the cart is 'M' kg.

Before the person jumps into the cart, the total momentum is the sum of the momentum of the person and the momentum of the cart. After the person jumps into the cart, the total momentum is the sum of the momentum of the person and the momentum of the cart.

Before the jump: - Momentum of the person = mass of the person * velocity of the person - Momentum of the cart = mass of the cart * velocity of the cart

After the jump: - Momentum of the person = mass of the person * velocity of the person - Momentum of the cart = mass of the cart * velocity of the cart

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

Momentum before jump = Momentum after jump

Mathematically, this can be written as:

(mass of the person * velocity of the person) + (mass of the cart * velocity of the cart) = (mass of the person * velocity of the person) + (mass of the cart * velocity of the cart)

Simplifying the equation, we can cancel out the common terms:

mass of the cart * velocity of the cart = mass of the cart * velocity of the cart

This equation tells us that the mass of the cart does not affect the final result. Therefore, we cannot determine the mass of the cart based on the given information.

Answer

Based on the given information, we cannot determine the mass of the cart. The mass of the cart could be any value, as it does not affect the final result.