Car A of mass 1200kg traveling at 10m/s , collided in too the back of the car B, which is stationary. Following the collision,. The two cars

Question

Car A of mass 1200kg traveling at 10m/s , collided in too the back of the car B, which is stationary. Following the collision,. The two cars stick together and travel at 6m/s. What is the mass of a car B?

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Gerda 6 months 2021-08-04T13:08:52+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-04T13:10:04+00:00

    Answer:

    Explanation:

    Caraofmass1200kg

    0
    2021-08-04T13:10:22+00:00

    Answer:

    Car B has a mass of 800 kg.

    General Formulas and Concepts:

    Momentum

    Law of Conservation of Momentum: \displaystyle m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_{f}

    Explanation:

    Step 1: Define

    Identify variables

    [Given] m₁ = 1200 kg

    [Given] v₁i = 10 m/s

    [Solve] m₂

    [Given] v₂i = 0 m/s

    [Given] vf = 6 m/s

    Step 2: Solve for m₂

    1. Substitute in variables [Law of Conservation of Momentum]:                       (1200 kg)(10 m/s) + m₂(0 m/s) = (1200 kg + m₂)(6 m/s)
    2. Multiply:                                                                                                             12000 kg · m/s = (1200 kg + m₂)(6 m/s)
    3. Isolate m₂ term:                                                                                                2000 kg = 1200 kg + m₂
    4. Isolate m₂:                                                                                                         800 kg = m₂

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )