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3 years ago

How to solve arctan[tan(7pi /4)] ...?

1 answer:

7 0

Well,
arctan is a bijection from R into (-pi/2 , pi/2)*and
pi is a period of tangent function:
so
as we have : tan(7pi/4) = tan(pi - pi/4) = - tan(pi/4)
we finally get :

arctan(tan(7pi/4)) = artan(tan(- pi/4)) = - pi/4


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As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arr

zubka84 [21]

Answer:

$894.12\ \text{N}$

$284.013\ \text{J}$

Explanation:

U = Energy = 76 J

x = Displacement of spring = 0.17 m

k = Spring constant

Energy is given by

$U=\dfrac{1}{2}kx^2\\\Rightarrow k=\dfrac{2U}{x^2}\\\Rightarrow k=\dfrac{2\times 76}{0.17^2}\\\Rightarrow k=5259.51\ \text{Nm}$

Force is given by

$F=kx\\\Rightarrow F=5259.51\times 0.17\\\Rightarrow F=894.12\ \text{N}$

The magnitude of force must you apply to hold the platform is $894.12\ \text{N}$ .

Now $x=0.17+0.2=0.37\ \text{m}$

$U=\dfrac{1}{2}kx^2\\\Rightarrow U=\dfrac{1}{2}\times 5259.51\times 0.37^2\\\Rightarrow U=360.013\ \text{J}$

Additional energy

$360.013-76=284.013\ \text{J}$

8 0

2 years ago

A typical current in a lightning bolt is 103 a. estimate the magnetic field 9 m from the bolt (in t). (enter the magnitude.)

kifflom [539]

The magnetic field is

$2.288 \times 10 {}^{ - 6} T$

what is magnetic field?

Magnetic field is defined as the relationship between the permittivity of free space,the magnitude of electric current,and distance.

Here is the formula,

$B = \frac{µ0l }{2π R}$

here,

B= magnitude of the magnetic field

l= magnitude of electric current

R=distance

µ0=permittivity of free space

Now,using above formula we can calculate the magnetic field

$B = \frac{µ0l }{2π R}$

$\frac{4\pi \times 10 {}^{ - 7}. \frac{m}{a} \times 103 }{2\pi \times (9m)}$

$= 2.288 \times 10 {}^{ - 6} T$

Thus,the magnetic field is

$= 2.288 \times 10 {}^{ - 6} T$

learn more about magnetic field from here: brainly.com/question/28326849

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2 years ago

Please help me with this question

Oksanka [162]

Car at rest:

velocity= 0m/s

Acceleration:

0.2m/s²

Since total time:

3 min = 180s

Formula of acceleration:

acceleration = [final velocity - initial velocity] ÷ [total time]

Velocity at end:

0.2m/s² = [final velocity - 0m/s] ÷ [180s]

0.2m/s² × 180s = [final velocity]

[final velocity] = 36m/s

Distance travelled:

Velocity = displacement(distance) ÷ time

36m/s = displacement(distance) ÷ 180s

displacement(distance) = 36m/s × 180s

displacement(distance) = 6480m

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3 years ago

Which is the correct formula for sulfur dichloride

xz_007 [3.2K]

The formula for sulfur dichloride is SCl2

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3 years ago

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when an electric current is flowing through a wire which of the following is also produced energy domain field force

qaws [65]

When an electric current is flowing through a wire, there is a magnetic field produced. The lines of magnetic force are circles around the wire.

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3 years ago