a pick up truck that has a mass of 500kg travels at 8 mph it hits a motor cycle with mass of 100kg. assuming momentum is conserv
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Answer:
vₓ = 6.73 m/s
Explanation:
- Assuming no other external influences than gravity, in the horizontal direction (which we make to coincide with the x- axis) , speed is constant, so, applying the definition of average velocity, we can write the following equation:
- Now, in the vertical direction (coincident with the y- axis) , as both movements are independent each other, initial velocity is zero, so we can write the following equation for the vertical displacement:
- where Δh = -37.0 m , g = -9.8 m/s2
- Solving (2) for t, we get:
- Taking t₀ = 0, ⇒ Δt = t
- Replacing (3) in (1), we get:
- As the horizontal velocity is constant, the initial horizontal velocity is just the average one, i.e., 6.73 m/s.