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  1. #1
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    mechanics

    A railway wagon of mass 12 tonnes moving freely at 4m/s collides with an empty stationary wagon of mass 4 tonnes at the base of a slope inclined at an angle Ѳ to the horizontal of sinѲ=1/50. The wagons move up the slope together against a constant frictional resistance of 50N per tonne. Calculate the distance they travel up the slope before coming to instantaneous rest.
    any help would be great
    thanks
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  2. #2
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    inelastic collision ... momentum is conserved

    m_1v_0 = (m_1 + m_2)v_f<br />

    let x be the distance both cars travel up the incline and f be the force of friction ... use energy concepts to determine x

    kinetic energy after the collision - work done by friction = final gravitational potential energy

    \frac{1}{2}(m_1 + m_2)v_f^2 - f \cdot x = (m_1 + m_2)g \cdot x \sin{\theta}
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