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Alchen [17]
3 years ago
15

Will mark brainlist

Physics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

5.00 x 10^9 j

Explanation:

mass = 100 kg

speed / velocity = 10 km/s x 1000 = 10,000m

K.E =

\frac{m{v}^{2} }{2}

10,000x 100/ 2

= 5000000000

= 5.0 x 10^9j

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I attach a 4.1 kg block to a spring that obeys Hooke's law and supply 3.8 J of energy to stretch the spring. I release the block
borishaifa [10]

Answer:

The amplitude of the oscillation is 2.82 cm

Explanation:

Given;

mass of attached block, m = 4.1 kg

energy of the stretched spring, E = 3.8 J

period of oscillation, T = 0.13 s

First, determine the spring constant, k;

T = 2\pi \sqrt{\frac{m}{k} }

where;

T is the period oscillation

m is mass of the spring

k is the spring constant

T = 2\pi \sqrt{\frac{m}{k} } \\\\k = \frac{m*4\pi ^2}{T^2} \\\\k = \frac{4.1*4*(3.142^2)}{(0.13^2)} \\\\k = 9580.088 \ N/m\\\\

Now, determine the amplitude of oscillation, A;

E = \frac{1}{2} kA^2

where;

E is the energy of the spring

k is the spring constant

A is the amplitude of the oscillation

E = \frac{1}{2} kA^2\\\\2E = kA^2\\\\A^2 = \frac{2E}{k} \\\\A = \sqrt{\frac{2E}{k} } \\\\A =  \sqrt{\frac{2*3.8}{9580.088} }\\\\A = 0.0282 \ m\\\\A = 2.82 \ cm

Therefore, the amplitude of the oscillation is 2.82 cm

8 0
3 years ago
The noise from a power mower was measured at 104 dB. The noise level at a rock concert was measured at 121 dB. Find the ratio of
UkoKoshka [18]

Based on the calculations, the ratio of the intensity of Ir to Ip is equal to 50.12.

<h3>How to find the ratio of the intensity?</h3>
  • Let the intensity of the power mower be Ip.
  • Let the intensity of the rock music be Ir.

Mathematically, sound intensity level can be calculated by using this formula:

\beta = 10 log(\frac{I}{I_{ref}} )

<u>Where:</u>

I is the intensity of the sound.

Making I the subject of formula, we have:

I = Io × 10^{\frac{\beta }{10} }

For Ip, we have:

Ip = Io × 10^{\frac{104 }{10} }

Ip = Io × 10^{10.4}

For Ir, we have:

Ir = Io × 10^{\frac{121 }{10} }

Ir = Io × 10^{12.1}

Now, we can find the ratio of the intensity:

Ir/Ip = Io × 10^{12.1}/Io × 10^{10.4}

Ir/Ip = 10^{12.1}/10^{10.4}

Ir/Ip = 10^{12.1 -10.4}

Ir/Ip = 10^{1.7}

Ir/Ip = 50.12.

Read more on sound intensity here: brainly.com/question/17062836

#SPJ1

8 0
2 years ago
No matter what values of m and k you used for the spring, what is the ratio of the period to k m.
Leto [7]

The relationship between the period of an oscillating spring and the attached mass determines the ratio of the period to \sqrt{\dfrac{m}{k} }.

Response:

  • The ratio of the period to  \sqrt{\dfrac{m}{k} } is always approximately<u> 2·π : 1</u>

<u />

<h3>How is the value of the ratio of the period to \sqrt{\dfrac{m}{k} } calculated?</h3>

Given:

The relationship between the period, <em>T</em>, the spring constant <em>k</em>, and the

mass attached to the spring <em>m</em> is presented as follows;

T =  \mathbf{2 \cdot \pi \cdot \sqrt{\dfrac{m}{k} }}

Therefore, the fraction of of the period to \sqrt{\dfrac{m}{k} }, is given as follows;

\mathbf{\dfrac{T}{ \sqrt{\dfrac{m}{k} }}} = 2 \cdot \pi

2·π ≈ 6.23

Therefore;

T :{ \sqrt{\dfrac{m}{k} }} = 2 \cdot \pi : 1

Which gives;

  • The ratio of the period to  \sqrt{\dfrac{m}{k} } is always approximately<u> 2·π : 1</u>

Learn more about the oscillations in spring here:

brainly.com/question/14510622

7 0
3 years ago
What is the formula for momentum? *<br><br> p = m/v<br> f = m x a<br> f = m/s<br> p = m x v
KiRa [710]

Answer:

momentum in a body can be calculated using

<em><u>Mome</u></em><em><u>ntum</u></em><em><u>=</u></em><em><u>Mass×</u></em><em><u>V</u></em><em><u>e</u></em><em><u>l</u></em><em><u>o</u></em><em><u>s</u></em><em><u>i</u></em><em><u>t</u></em><em><u>y</u></em><em><u> </u></em>

<em><u>i</u></em><em><u>e(</u></em><em><u>p</u></em><em><u>=</u></em><em><u>m×</u></em><em><u>v</u></em><em><u>)</u></em>

4 0
3 years ago
A shopper in a supermarket pushes a loaded 31 kg cart with a horizontal force of 12 N. The acceleration of gravity is 9.81 m/s 2
rosijanka [135]

Answer:

3.41334 m

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

m = Mass

Force

F=ma\\\Rightarrow a=\frac{F}{m}\\\Rightarrow a=\frac{12}{31}\\\Rightarrow a=0.387\ m/s^2

Acceleration of the cart is 0.387 m/s²

s=ut+\frac{1}{2}at^2\\\Rightarrow s=0\times 4.2+\frac{1}{2}\times 0.387\times 4.2^2\\\Rightarrow s=3.41334\ m

The cart will move 3.41334 m in 4.2 seconds

3 0
3 years ago
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