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igomit [66]
3 years ago
9

a cylinder of mass 34.5 kg rolls without slipping on a horizontal surface. At a certain instant, its center of mass has a speed

9.5 m/s. Determine the rotational kinetic energy
Physics
2 answers:
Scorpion4ik [409]3 years ago
8 0

Answer:

\displaystyle 778,40625\:J

Explanation:

\displaystyle \frac{1}{2}mv^2 = KE

* For cylinders, it is unique. Since you have two circular bases, you take half the mass in the formula:

\displaystyle \frac{1}{4}mv^2 = KE \\ \\ \frac{1}{4}[34,5]9,5^2 = KE → \displaystyle \frac{1}{4}[34,5][90,25] = 778,40625\:J

I am joyous to assist you anytime.

Stolb23 [73]3 years ago
4 0

Answer:

778 J

Explanation:

Rotational energy is:

RE = ½ Iω²

For a solid cylinder I = ½ mr².

Rolling without slipping means ω = v/r.

RE = ½ (½ mr²) (v/r)²

RE = ¼ mv²

Plug in values:

RE = ¼ (34.5 kg) (9.5 m/s)²

RE ≈ 778 J

Round as needed.

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A standing wave of the third overtone is induced in a stopped pipe, 2.5 m long. The speed of sound is The frequency of the sound
NemiM [27]

Answer:

f3 = 102 Hz

Explanation:

To find the frequency of the sound produced by the pipe you use the following formula:

f_n=\frac{nv_s}{4L}

n: number of the harmonic = 3

vs: speed of sound = 340 m/s

L: length of the pipe = 2.5 m

You replace the values of n, L and vs in order to calculate the frequency:

f_{3}=\frac{(3)(340m/s)}{4(2.5m)}=102\ Hz

hence, the frequency of the third overtone is 102 Hz

8 0
3 years ago
Arrange the substances in the table from the MOST to the LEAST ordered particle arrangement es ) A) wood, water, neon gas B) woo
elena-14-01-66 [18.8K]

Answer:

A) wood, water, neon gas

Explanation:

Matter, which constitutes every known substances is said to exists in three states namely: gaseous, solid and liquid. Each state of matter contain particles that make up their structure.

- Solids have well arranged particles that are tightly packed together to give it its solid shape. Example is wood

- Liquids have particles that are loosely packed together, hence, can still move about. Example is water

- Gases have particles that are not packed together, hence, their ability to roam freely. Example is neon gas

Based on this, the order of MOST to LEAST ordered particle arrangement is solid - liquid- gas i.e. wood - water - neon gas.

7 0
2 years ago
Does a thicker core make an electromagnet stronger?
goldenfox [79]

Answer:

Yes

Explanation:

The core of an electromagnet serves to stabilize the magnetic field created by the wire. The thicker the core, the more metal there is to amplify the current. Therefore, a thicker core does make an electromagnet stronger. Hope this helps!

5 0
3 years ago
A house is maintained at 1 atm and 24°C. Outdoor air at 5.5°C infiltrates into the house through the cracks and warm air inside
Lunna [17]

Answer:

5454gjb

Explanation:

512212njun][[]

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3 0
3 years ago
An electron is projected vertically upward with a speed of 1.70 ✕ 106 m/s into a uniform magnetic field of 0.320 t that is direc
Serggg [28]
The electron's path in the magnetic field is a straight line when viewed from above.

In fact, the electron initially moves upward, while the magnetic field is directed horizontally. The electron experiences a force due to the magnetic field (the Lorentz force), whose direction is given by the right-hand rule:
- index finger --> initial direction of the electron (upward)
- middle finger --> direction of the magnetic field (horizontally, away from the observer)
- opposite direction to the thumb* --> direction of the force (horizontally, but perpendicular to the magnetic field, to the right)

This means that the Lorentz force makes the electron moving perpendicular to the magnetic field in the horizontal plane, and since the direction of the field is not changing, this force does not change its direction, so the electron moves in the same direction of the force in the horizontal plane (to the right), therefore following a straight line.

* the direction should be reversed because the charge is negative.
7 0
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