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Aloiza [94]
4 years ago
7

Students are studying the two-dimensional motion of objects as they move through the air. Specifically, they are examining the b

ehavior of a sphere that is launched horizontally from a location above the floor with an initial velocity vo in the +3 direction, as shown in the figure. The students assume that the positive directions are along the sphere's initial velocity for horizontal motion and downward for vertical motion.
The horizontal displacement of the object from its starting point is x, and the vertical displacement of the object from its starting point is y. One of the students derives an equation for y in terms of xx and other quantities. After examining the equation, the student claims that y is proportional to x^2.

Required:
Derive an equation for the vertical coordinate y of the sphere as a function of x, v0, and physical constants, as appropriate.
Physics
1 answer:
kupik [55]4 years ago
7 0

Answer:

   y = - (½ g / v₀²)   x²

Explanation:

This is a projectile launch exercise where there is no acceleration on the x-axis so

        x = v₀ₓ t

        v₀ₓ = v₀ cos tea

        y = v_{oy} t - ½ g t2

        v_{oy} = v₀ sin θ

as the sphere is thrown horizontally, the angle is tea = 0º, so the initial velocity remains

          v₀ₓ = v₀

           v_{oy} = 0

we substitute in our equations

          x = v₀ t

          y = - ½ g t²

we eliminate the time from these equations, we substitute the first in the second

      y = - ½ g (x / v₀)²

      y = - (½ g / v₀²)   x²

this is the equation of a parabola

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668 bright fringes

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Are sinkhole fatalities common?
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In an elastic collision momentum is conserved as well as the kinetic energy

Explanation:

In physics, there are two types of collisions:

  • Elastic collision: in an elastic collision, the total momentum of the system is  conserved, and the total kinetic energy of the system is conserved as well. This is because there are no internal frictions acting on the system, so the energy is conserved. An example of elastic collision is (approximately) that occurring between two billiard balls.
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