¿Por que una una tapa pequeña de agua purificada se mantiene quieta por más tiempo sobre una rampa, en comparación al tiempo red
1 answer:
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Answer:
Velocity of the two balls after collision: .
of kinetic energy would be lost.
Explanation:
<h3>Velocity</h3>Because the question asked about energy, convert all units to standard units to keep the calculation simple:
- Mass of the first ball:
.
- Mass of the second ball:
.
The two balls stick to each other after the collision. In other words, this collision is a perfectly inelastic collision. Kinetic energy will not be conserved. The velocity of the two balls after the collision can only be found using the conservation of momentum.
Assume that the system of the two balls is isolated. Thus, the sum of the momentum of the two balls will stay the same before and after the collision.
The momentum of an object of mass and velocity
is:
.
Momentum of the two balls before collision:
- First ball:
.
- Second ball:
.
- Sum:
given that the two balls are moving in the same direction.
Based on the assumptions, the sum of the momentum of the two balls after collision should also be . The mass of the two balls, combined, is
. Let the velocity of the two balls after the collision
. (There's only one velocity because the collision had sticked the two balls to each other.)
- Momentum after the collision from
:
.
- Momentum after the collision from the conservation of momentum:
.
These two values are supposed to describe the same quantity: the sum of the momentum of the two balls after the collision. They should be equal to each other. That gives the equation about :
.
.
In other words, the velocity of the two balls right after the collision should be .
The kinetic energy of an object of mass and velocity
is
.
Kinetic energy before the collision:
- First ball:
.
- Second ball:
.
- Sum:
.
The two balls stick to each other after the collision. Therefore, consider them as a single object when calculating the sum of their kinetic energies.
- Mass of the two balls, combined:
.
- Velocity of the two balls right after the collision:
.
Sum of the kinetic energies of the two balls right after the collision:
.
Therefore, of kinetic energy would be lost during this collision.
Answer: -4.4 m/s
Explanation:
This problem can be solved by the Conservation of Momentum principle, which establishes that the initial momentum must be equal to the final momentum
:
(1)
Where:
(2)
(3)
is the mass of the child
is the initial velocity of the child
is the mass of the adult
is the initial velocity of the adult (it is sitting still)
is the final velocity of the child
is the final velocity of the adult
Substituting (2) and (3) in (1):
(4)
Isolating :
(5)
(6)
Finally:
This means the velocity of the child is in the opposite direction