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Citrus2011 [14]
3 years ago
7

The formulas for these two ?

Physics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

These are called kinematics equations.

Explanation:

These equations are used when there is either a constant velocity motion or a constant acceleration motion.

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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
A spring with a spring constant kk of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. it is then s
tino4ka555 [31]

Given:

k = 100 lb/ft, m = 1 lb / (32.2 ft/s) = 0.03106 slugs 

Solution:


F = -kx 
mx" = -kx 
x" + (k/m)x = 0 

characteristic equation: 
r^2 + k/m = 0 
r = i*sqrt(k/m) 

x = Asin(sqrt(k/m)t) + Bcos(sqrt(k/m)t) 

ω = sqrt(k/m) 
2π/T = sqrt(k/m) 
T = 2π*sqrt(m/k) 
T = 2π*sqrt(0.03106 slugs / 100 lb/ft) 
T = 0.1107 s (period) 

x(0) = 1/12 ft = 0.08333 ft 
x'(0) = 0 

1/12 = Asin(0) + Bcos(0) 
B = 1/12 = 0.08333 ft 

x' = Aω*cos(ωt) - Bω*sin(ωt) 
0 = Aω*cos(0) - (1/12)ω*sin(0) 
0 = Aω 
A = 0 

So B would be the amplitude. Therefore, the equation of motion would be x = 0.08333*cos[(2π/0.1107)t]

5 0
4 years ago
Calculate the correct fuse that should be used for a 230V,1KW electric hair dryer.​
zzz [600]

Answer: 4 A

Explanation:

Given

Voltage V=230\ V

Power P=1\ kW

Power is given by P=VI\\

Insert the values

\Rightarrow 1000=230\times I\\\\\Rightarrow I=\dfrac{1000}{230}\\\\\Rightarrow I=3.84\ A

The rating of fuse is slightly higher than the normal operating conditions. Therefore, a 4 A fuse should be used here.

6 0
3 years ago
The inner transition metals include the
Sedbober [7]

Answer: They include elements 57-71, or lanthanides, and 89-103, or actinides. ... Inner transition metals have three incomplete outermost electron shells and are all metals.

3 0
3 years ago
Which of the following substances is covalently bonded? A. KF B. H2S C. CaCl2 D. SO2
poizon [28]
The answer is c for that question
6 0
4 years ago
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