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kirza4 [7]
3 years ago
7

If two pendula have the same length but one has a 2 pound weight on its end while the other has only a 1 pound weight which will

have the longer period
Physics
1 answer:
Sergeu [11.5K]3 years ago
4 0

In calculations of the behavior of a pendulum, and in the formula that relates its period to its length, we always assume that it's swinging through "small angles", like less than 45 degrees.

Under this assumption, and the formulas we use every day for a pendulum, the mass doesn't matter.  If you can rig one pendulum holding a little stone and another pendulum holding a school bus, and make them the same length, and eliminate air resistance, they'll both have <em>the same period.</em>

The Pendulum Period formula is:

Time = 2π · √(length/gravity)

Mass is not even there in the formula.  It makes no difference !

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A wire is oriented along the x-axis. It is connected to two batteries, and a conventional current of 2.4 A runs through the wire
Deffense [45]

Answer:

\vec{F}=0.40176 N \hat{k}

Explanation:

To calculate the force we need to use this equation

\vec{F}=\int\limits^L_0 {i(\vec{dl}\times\vec{B})}

where L is the total length of the wire

So in this case the small element of current is

\vec{dl} = dx \hat{i}

Because x is the direction of the current flow.

As is said in the problem B is such that

\vec{B} = B \hat{j} = 0.62\hat{j} [ T]

so to use the equation above we first calculate the following cross product:

\vec{dl}\times\vec{B}=dx \hat{i}\times B \hat{j} = Bdx\hat{k}

so the force:

F = \int\limits^L_0 {i(\vec{dl}\times\vec{B})}=\int\limits^L_0{iBdx\hat{k}}

So here we use the fact that B=0 in any point of the x axis that is not x^{'}=0.27 [m], that means that we only need to do the integration between a very short distant behind the point x^{'}=0.27 [m] and a very short distant after that point, meaning:

\vec{F}= \lim_{h \to 0}{\int\limits^{x^{'}+h}_{x^{'}-h}{iBdx\hat{k}} }

so is the same as evaluating iBx at x=x^{'}

that is:

2,4 A * 0,62 T * 0,27 m \hat{k}

2,4 A * 0,62 (\frac{Kg}{A s^{2}}) * 0,27 m \hat{k}

2,4*0,62*2,7 ( \frac{ kgm }{ s^{2} } ) \hat{k}

\vec{F}=0.40176 N \hat{k}

5 0
3 years ago
Given all the positive characteristics of Venus, why has space exploration focused so much on Mars?
Zielflug [23.3K]

The reason space exploration focused more on Mars than Venus with all the advantages, Venus still has a huge disadvantage, which is that the super hot is there and we can actually land on Venus without exploding.

6 0
4 years ago
Read 2 more answers
Zac releases the air from a balloon. Which statement best describes what will happen to the air that was inside the balloon?
ehidna [41]

The air that was inside the balloon will expand to fill the room

Explanation:

Matter exists in three states:

  • Solid: in a solid, the molecules are bound to each other by strong intermolecular bonds, so they are not able to move freely, but only to vibrate around their fixed position. As a result, solids have a definite shape and a definite volume.
  • Liquid: in a liquid, the molecules are free to slide past each other, however there are still intermolecular forces acting between them that prevent them to move too far apart from each other. As a result, liquids have a definite volume, but not a definite shape.
  • Gas: in a gas, intermolecular forces between molecules are negligible, and molecules can move freely. As a result, gases have no definite volume and no definite shape.

According to the definition of gas, this means that in this problem, when the air is released from the balloon, the molecules of air will move out of it and will try to fill the whole space available, which is the room.

Learn more about gases:

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4 0
4 years ago
When Elements neutral atom contains 5 neutrons 4 electrons and 4 protons
Amanda [17]

Answer:

What is the atomic number of an atom that has 5 neutrons and 4 electrons? A neutral atom will have the same number of electrons is does protons. Since it has 4 protons, it must have an atomic number of 4. (That makes it beryllium.)

Explanation:

mark me brainliest please and thank you Ma'aM/Sir

8 0
3 years ago
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In the terminal portion of the axon (i.e. the end of the nerve) at the neuromuscular junction, calcium ions act to _________.
valentinak56 [21]

Answer: TO RELEASE SYNAPTIC VESICLES FROM THE AXON TERMINAL.

Explanation: SYNAPTIC VESICLES are in the form of sack,which helps in the storage of Neurotransmitters. Neurotransmitters are released from the SYNAPSES through the Calcium channels which highly depend on Voltage.

Vesicles are essential for transmitting nerve impulses from one neuron to another Vesicles are constantly recreated by the cell as some older ones age.

8 0
4 years ago
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