Answer:

Explanation:
The marble released through the trap door inside the elevator going upward at a speed vo would have an upward velocity of vo, but begins to experience a downward acceleration g = 9.81m/s^2. This is essentially same as throwing the marble up at a speed of vo. We can solve for the greatest height using the law of energy conservation.
When the marble is traveling up, its potential energy is converted to kinetic energy:


where m is the marble mass and h is the vertical distance traveled from the releasing point to the maximum height.
We can divide both sides by m


This is only partial of the height from the ground. To find the total height we need to add the height from the ground to the release point, which is the distance traveled by the elevator within time t = 2.35s at speed vo

Plug in the value for vo and we can calculate the maximum height
v1f = -0.16 ms
Explanation:
Use the conservation law of linear momentum:
m1v1i + m2v2i = m1v1f + m2v2f
where
v1i = v2i = 0
m1 = 160 kg
m2 = 0.50 kg
v2f = 50m/s
v1f = ?
So we have
0 = (160 kg)v1f + (0.5 kg)(50 m/s)
v1f = -(25 kg-m/s)/(160 kg)
= -0.16 m/s
Note: the negative sign means that its direction is opposite that of the arrow.
What condition alone is necessary so that the final kinetic energy of the system is zero after the collision?
<u>Option(a). </u>The objects must have initial momenta with the same magnitude but opposite directions.
What is a momentum?
- In Newtonian mechanics, linear momentum, translational momentum, or simply momentum is the product of the mass and velocity of an object.
- It is a vector quantity, possessing a magnitude and a direction.
- If m is an object's mass and v is its velocity (also a vector quantity), then the object's momentum p is :p=mv.
- In the International System of Units (SI), the unit of measurement of momentum is the kilogram metre per second (kg⋅m/s), which is equivalent to the newton-second.
To know more about momentum, refer:
brainly.com/question/1042017
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The SI unit of energy is the Joule .
Any kind of energy ... electrical, mechanical, nuclear, solar,
wind etc. It's easy to change from one form to another ... we
do it every day ... and they all have the same unit.
The answer is C Because it is just C