The characteristics of the conservation of energy and momentum allow to find the result for the movement of the balls, the correct answer is:
D. The mechanical energy of the ball on the left is transferred through
the other balls to the ball on the right.
Mechanical energy is the sum of the kinetic energy and the potential energies. In the case that there is no friction, the mechanical energy is conserved.
The momentum is defined by the product of the mass and the velocity of the body, in an isolated system the momentum is conserved and the shocks can be of two types:
- Inelastic. Where part of the energy is transformed into internal energy and the kinetic energy is not conserved.
- Elastic. Where kinetic energy is conserved.
In the case indicated, when removing the ball, it gains a height, therefore if the initial mechanical energy is
Em₀ = mgh
When it reaches the lowest point, just before it hits the ball its energy is:
[tex]Em_f[/tex] = 1 / 2m v²
Em₀ = Em_f
v = [tex]\sqrt{2gh}[/tex]
collides with the other ball and transfers its momentum in an elastic collision, the balls do not stick, as all the energy of the ball is kinetic, this energy is transferred to each ball until it reaches the last one, where the kinetic energy is transformed into potential energy a increases its height.
Let's analyze the answers:
A. False. This is a collision of particles there are no waves.
B. False. At the lowest point the ball on the left has kinetic energy.
C. False. It is a collision of particles, there are no waves.
D. True. The energy from the elastic collisions is transferred through each ball until it reaches the last ball.
In conclusion, using the characteristics of the conservation of energy and momentum, we can find the result for the movement of the balls, the correct answer is:
D. The mechanical energy of the ball on the left is transferred through the other balls to the ball on the right
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