Answer:
<u><em>note:</em></u>
<u><em>find the attached solution:</em></u>
2. Suppose you are on an elevator accelerating upwards. You feel as if your weight has:
1 answer:
You feel your weight has a) increased
Explanation:
There are two forces acting on you when you are standing on the elevator:
- The force of gravity (weight), given by
(where m is your mass and g the acceleration of gravity), acting downward
- The normal reaction exerted by the floor of the elevator on you, N, acting upward
Therefore, we can write Newton's second law applied to this situation as:
where is the acceleration of the elevator (positive since it is upward).
The weigth that you feel is actually the magnitude of the normal force exerted by the floor on you, N. Re-writing the equation,
Here for the convention used, both g and a are positive: this means that the normal reaction is actually larger than your real weight,
so, you feel that your weight has increased.
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The final kinetic energy of the ball is 2.45 J
Explanation:
We can solve this problem by using the law of conservation of energy.
In absence of frictional effect, the mechanical energy of the apple must be conserved during the fall. So we can write:
where :
is the initial potential energy, at the top
is the initial kinetic energy, at the top
is the final potential energy, at the bottom
is the final kinetic energy, at the bottom
By explicing the potential energy, we can rewrite the equation as:
where:
m = 0.5 kg is the mass of the apple
is the acceleration of gravity
is the initial height
is the final height
The initial kinetic energy is zero, since the ball starts from rest:
Therefore we can solve the equation for , the final kinetic energy of the ball:
Learn more about kinetic energy and potential energy:
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