physics

At the local grocery store, you push a 14.0-kg shopping cart. You stop for a moment to add a bag of dog food to your cart. With a force of 12.0N, you now accelerate the cart from rest through a distance of 2.30m in 2.55s. What was the mass of the dog food?

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  1. Mc = 14 kg = Mass of cart
    Md = Mass of dog food.

    d = 0.5a*t^2 = 2.30 m.
    0.5a*2.55^2 = 2.3
    3.25a = 2.3
    a = 0.707 m/s^2.

    F = M*a
    M = F/a
    (Mc+Md) = F/a

    F = 12 N.
    a = 0.707 m/s^2
    Solve for Md.

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