How tall in cm is 5.4 feet

In a lightning bolt, a large amount of charge flows during a time of 1.2 x 10-3 s. Assume that the bolt can be represented as a

ohaa [14]

Answer: 10.58 C has flowed during the lightning bolt

Explanation:

Given that;

Time of flow t = 1.2 × 10⁻³

perpendicular distance r = 21 m

Magnetic field B = 8.4 x 10⁻⁵ T

Now lets consider the expression for magnetic field;

B = u₀I / 2πr

the current flow is;

I = ( B × 2πr ) / u₀

so we substitute

I = ( (8.4 x 10⁻⁵) × 2 × 3.14 × 21 ) / 4π ×10⁻⁷

= 0.01107792 / 0.000001256

= 8820 A

Hence the charge flows during lightning bolt will be;

q = It

so we substitute

q = 8820 × 1.2 × 10⁻³

q = 10.58 C

therefore 10.58 C has flowed during the lightning bolt

6 0

4 years ago

You are making pesto for your pasta and have a cylindrical measuring cup 12.0 cmcm high made of ordinary glass [β=2.7×10−5(C∘)−1

katrin [286]

Answer:

81.8°C

Explanation:

βglass = 2.7×10^(−5) (C∘)−1

βoil = 6.8 × 10^(−4) (C∘)−1

T1 = 22°C

Total cup height = 12cm = 0.12m

Height below top of cup= 4.5mm or 0.0045m

From the question, we can see that the coefficient volume of expansion of oil is greater than that of glass and therefore, the heat absorbed by oil will be greater.

Thus;

δVoil =δVglass + 0.0045A

So, 0.0045A = δVoil - δVglass

0.0045A = δV(oil) - δVglass

Now,

δV(oil) is expressed fully as;

δT x V(oil) xβ(oil)

Likewise, δV(glass) is expressed fully as;

δT x V(glass) xβ(glass). Thus;

0.0045A = [δT x V(oil) xβ(oil)] - [δT x V(glass) xβ(glass)]

So,

0.0045 = δT[V(oil) xβ(oil)] - [V(glass) xβ(glass)]

So;

δT = 0.0045/[V(oil) xβ(oil)] - [V(glass) xβ(glass)]

Plugging in the relevant values to obtain ;

δT = 0.0045/[V(oil) xβ(oil)] - [V(glass) xβ(glass)]

V(oil) = Area of cup x height = A(0.12 - 0.0045) = 0.1155A

V(glass) = 0.12A

So,δT = 0.0045/[(0.1155A) x 6.8 × 10^(−4) ] - [0.12A x 2.7×10^(−5))]

= 0.0045/[0.7854 -x 10^(−4) - 0.0324 x 10^(−4)] = 0.0045/(0.753 x 10^(-4) = 59.76°C

Now, δT is the change in temperature and it's ;

δT = T2 - T1

Thus, T2 = δT + T1

T2 = 59.76 + 22 = 81.76°C

Approximating to 3 significant figures, T2 = 81.8°C

5 0

3 years ago

A mass of a spring vibrates in simple harmonic motion at a frequency of 8.0 Hz and an amplitude of 3.9 cm. If a timer is started

oee [108]

Answer:

e = 50.27 give / s

Explanation:

The expression for simple harmonic motion is

x = A cos (wt + Ф)

in this case they give us the amplitude A = 3.9 cm and frequency f = 8.0 Hz

The angular and linФear variables are related

e = 2π d

e = 2π 8

e = 50.27 give / s

let's look for the constant fi

so let's find the time to have the maximum displacement

v = dx / dt

v = -A w sin (wt +Ф)

for the point of maximum displacement the speed is I think

0 = - sin (0 + Ф)

therefore fi = 0

Let's put together the equation of motion

x = 0.039 sin (50.27 t)

v = 0.039 50.27 sin (50.27 3)

v = 1.96 50 0.01355

v = 0.0266 m / s

8 0

3 years ago

What is the mass of an object traveling at 20m/s and having a momentum of 60kg⋅m/s?

vichka [17]

Answer:

m=3kg

Explanation:

Momentum=mass×speed

60[kg m/s]=m[kg]×20[m/s]

We get:

m=3kg

4 0

4 years ago

Read 2 more answers

does the pair of equilibria produced by a saddle-node bifurcation have to consist of one that is stable and one that is unstable

Amiraneli [1.4K]

This bifurcation is called a saddle-node bifurcation. In it, a pair of hyperbolic equilibria, one stable and one unstable, coalesce at the bifurcation point, annihilate each other and disappear.

<h3>What is a bifurcation equilibria?</h3>

The mathematical study of changes in a family of curves' qualitative or topological structure, such as the integral curves of a family of vector fields or the solutions to a family of differential equations, is known as bifurcation theory.
A bifurcation happens when a tiny, gradual change in a system's parameter values (the bifurcation parameters) results in an abrupt, "qualitative," or topological change in the system's behavior.
This term is most frequently used to refer to the mathematical study of dynamical systems.
Both continuous systems (represented by ordinary, delay, or partial differential equations) and discrete systems can experience bifurcations (described by maps).

To learn more about bifurcation equilibria, refer to

brainly.com/question/14728055

#SPJ4

3 0

2 years ago