A student is testing the kinematic equations for uniformly accelerated motion by measuring the time it takes for light-weight pl
1 answer:
Answer: Conclusion E
Explanation:
In this study we need to keep several things is mind.
First, the atracttion between two objects can be calculated using Newton's Universal Gravitation Equation:
Where the Force of attraction between two objects can be calculate by the product of the Gravitational Constant (G), their masses between the square of the distance. This same equation can be used to obtain the acceleration caused by gravity.
If we take in account this equation, we know that the Earth Mass is so big that any other will be attracted using the same force, no matter his size. Because of this, while the attraction between a Plastic Ball and a Rock should be different, the Earth's Mass makes irrelevant any weight like a little fluctuation.
Because of this, the Acceleration due Gravity should be constant between any object. A 70% bias is imposible. This made conclusions A, B and D Falses.
However the previous equation doesn't take in count the medium on which the two objects move. It is know that a object moving inside a fluid will experience friction which a force that oposses movemente and goes on the contrary direction, While the Plastic ball falls, the air around it will cause friction. This friction will always slow a falling object. Proving then, Conclusion C is false
In the case that a object falls, the air can provide resistant as proved before, however any irregularity on the surface of the ball can cause the ball to move and making the fall not truly straight, this can increase the time travel of the ball and slowing the ball fall. For this Conclusion E is the most likely to cause the error
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1) The potential energy is the most at the highest position and the least at the equilibrium position
2) The kinetic energy is the most at the equilibrium position and the least at the highest position
Explanation:
1)
The potential energy of an object is the energy possessed by the object due to its position in a gravitational field; mathematically, it is given by
where
m is the mass of the object
g is the strength of the gravitational field
h is the height of the object relative to the ground
For the pendulum in this problem, m is the mass of the bob, and h is the height of the above relative to the ground. We see from the formula that the potential energy is directly proportional to the height:
This means that:
- The potential energy is the most when the bob is at the highest position
- The potential energy is the least when the bob is at the equilibrium position, which is the lowest position
2)
We can solve this part by applying the law of conservation of energy: in fact, the total mechanical energy of the pendulum (sum of potential and kinetic energy) is constant at any time during the motion,
where KE is the kinetic energy.
From the equation above, we observe that:
- When PE is maximum, KE must be at minimum
- When PE is minimum, KE must be maximum
Therefore, this implies that:
- The kinetic energy is the most when the potential energy is the least, i.e. at the equilibrium position
- The kinetic energy is the least when the potential energy is the most, i.e. at the highest position
Learn more about kinetic and potential energy:
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