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Two small metal cubes with masses 2. 0 g and 4. 0 g are tied together by a 5. 0-cm-long massless string and are at rest on a fri

Aleks04 [339]

The energy of the system, tension in the string, and speed of each cube are respectively; U = 0.72 J, T = 14 N and (V₂, V₄) = (-22, 14)

<h3>Calculation of energy and tension in a String</h3>

We are given;

Mass of cube 1; m₁ = 2 g

Mass of cube 2; m₂ = 4 g

Distance between cubes; d = 5 cm = 0.05 m

Charges of cubes; Q = q = +2. 0 μc = 2.0 × 10⁻⁶ C

A) Formula for the energy of the system is;

U = kQq/d

U = 8.99 × 10⁹ × (2.0 × 10⁻⁶ C)²/0.05 m

U = 0.03596/0.05

U = 0.72 J

B) Formula for the Tension is;

T = U/d

T = 0.72/0.05

T ≈ 14 N

C) Momentum is conserved, and as such the initial momentum is zero. Thus;

0 = (0.0020 × V₂) + (0.0040 × V₄)

⇒ V₂ = -2V₄

Energy is also conserved and so;

(½ × 0.0020 × (-2V₄)²) + (½ × 0.004 × (V₄)²) = 0.72 J

-0.0040V₄² + 0.002V₄² = 0.72 J

0.0060V₄² = 0.72 J

V₄² = 0.72/0.0060

V₄² = 120

V₄ = √120

V₄ ≈ 11 m/s

Recall that; V₂ = -2V₄

Thus;

V₂ = -2(11) m/s

V₂ = -22 m/s

Thus;

(V₂, V₄) = (-22, 14)

Read more about Conservation of Momentum at; brainly.com/question/7538238

8 0

3 years ago

Researchers are studying two different designs of computer keyboards

olga_2 [115]

There are several types of keboard designs and research is ongoing to improve their efficiency e,g QWERTY, QWERTZ and AZERTY keyboards

<h3>Types of Keyboards</h3>

Bellow is an extended list of the various types of keyboards

Qwerty Keyboards
Wired Keyboards
Numeric Keypads
Ergonomic Keyboards
Wireless Keyboards
USB Keyboards
Bluetooth Keyboards

Learn more about the types of keyboards here:

brainly.com/question/13380788

8 0

3 years ago

Cuál es la relación entre la respiración y la circulación

Wittaler [7]

Answer:

I need it translated please

8 0

3 years ago

Why was the development of the bessemer process important? 34 points

skelet666 [1.2K]

It was for the process of producing steel. it make making steel easier. hope this helps:)

6 0

4 years ago

I need help!<br> ~Brainliest to you~<br> Hurry up

daser333 [38]

Answer: B

<u>Explanation:</u>

rate x time

Chris: 40 x t = 40t

Amy: 60 x t - 2 = 60(t - 2)

Use the distance formula:

$d = \sqrt{(Chris)^{2}+(Amy)^{2}}$

$300 = \sqrt{(40t)^{2}+(60(t - 2))^{2}}$

*****************************************************************************

Answer: B

<u>Explanation:</u>

x² - 8x + 19

a=1 b=-8 c=19

Use the Quadratic formula to find the solutions for x:

$x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}$

$= \frac{-(-8) +/- \sqrt{(-8)^{2}-4(1)(19)}}{2(1)}$

$= \frac{8+/- \sqrt{64-76}}{2}$

$= \frac{8+/- \sqrt{-12}}{2}$

$= \frac{8+/- 2i\sqrt{3}}{2}$

$= \frac{2(4+/- i\sqrt{3})}{2}$

= 4 ± i√3

Solutions are: Factors are:

x = 4 + i√3 x - (4 + i√3) = 0

x = 4 - i√3 x - (4 - i√3) = 0

8 0

3 years ago

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