is the fastest launch coaster in the world, launching its 3864 kg trains to 240 km/h (149 mph) in 4 seconds. This means its rate of acceleration is 16.67 m/s/s. How much force was required to do this?

#1

[tex]\\ \rm\dashrightarrow P=VI\implies V=\dfrac{P}{I}[/tex]

[tex]\\ \rm\dashrightarrow V=\dfrac{0.4\times 10^3}{33\times 10^{-3}}[/tex]

[tex]\\ \rm\dashrightarrow V=0.012\times 10^{-6}[/tex]

[tex]\\ \rm\dashrightarrow V=12mV[/tex]

#2

[tex]\\ \rm\dashrightarrow R=\rho \dfrac{\ell}{A}[/tex]

[tex]\\ \rm\dashrightarrow \rho =\dfrac{RA}{\ell}[/tex]

[tex]\\ \rm\dashrightarrow \rho=\dfrac{86.3(0.4\times 10^6)}{69}[/tex]

[tex]\\ \rm\dashrightarrow \rho=0.5\times 10^{6}[/tex]

#3

Ohms law

[tex]\\ \rm\dashrightarrow R=\dfrac{V}{I}[/tex]

[tex]\\ \rm\dashrightarrow R=\dfrac{7(10^3)}{6(10^{-6})}[/tex]

[tex]\\ \rm\dashrightarrow R=1.167\times 10^9\Omega[/tex]

The velocity of particle 2 when it is 1cm away from particle 1 is determined as 62.18 m/s.

The electrostatic force between the two charges is calculated as follows;

F = (kq1q2)/(r²)

F = (9 x 10⁹ x 4.5 x 10⁻⁶ x 3.1 x 10⁻⁶)/(0.037)²

F = 91.71 N

F = ma

a = F/m

a = (91.71 N)/(0.0069 kg)

a = 13,291.2 m/s²

v² = u² + 2as

v² = 60² + 2(13,291.2)(0.01)

v² = 3865.82

v = 62.18 m/s

Learn more about velocity here: https://brainly.com/question/6504879

#SPJ1

Answer:

A) Pitch

Explanation:

Wavelength determines the pitch  ( or frequency which is 1/wavelength)

Explanation:

The formula for work is

[tex]w = |f| |d| \cos(x) [/tex]

where x is the angle between the displacement and force.

F is the force that is currently being active.

D is the displacement.

We only want our force and displacement to be positve so we use the absolute value sign.

Since the rocket and the displacement is both upwards, the signs. between them is 0.

So since

[tex] \cos(0) = 1[/tex]

We can just use that

[tex]w = |f| |d| [/tex]

First, we covert km to m.

[tex]144 \: km \times \frac{1000 \: m}{1 \: km} = 144000 m[/tex]

Now, we can multiply.

[tex]w = 14400 \: km \: \times (6.27 \times 10 {}^{5} )[/tex]

[tex]w = (1.44 \times 10 {}^{5} ) \times (6.27 \times 10 {}^{5} )[/tex]

[tex]w = 9.0288 \times 10 {}^{10} [/tex]

N times Meters = J so our answer is

[tex]w = 9.0288 \times 10 {}^{10} \: j[/tex]

It's denoting to a right angle traingle

Hypotenuse we need

Apply Pythagorean theorem

Explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

Answer:

200 N

Explanation:

F = G m1 m2 / r^2      G  m1  and m2  are constant for this scenario

             so this becomes

F is proprtional to  1/r^2    

f = 1/r^2

800 = 1/r^2     now change  r  to 2r

  F = 1/(2r)^2 = 1/4 * 1/r^2    <======shows force will be 1/4 of original , or 200N

We can confirm that Neil deGrasse Tyson made this claim due to the fact that NASCAR races use speakers with the sounds of the race.

The Doppler effect in regards to sound is a shift in the way we hear the sound as the object is coming closer and then moving farther away, something that NASCAR cars do very often during races. Placing speakers would overlap this sound with a constant sound wave, making the audience unable to perceive the doppler effect.

Therefore, we can confirm that Neil deGrasse Tyson made this claim due to the fact that NASCAR races use speakers with the sounds of the race.

To learn more about the Doppler effect visit:

https://brainly.com/question/9165991?referrer=searchResults

A drawing shows a crystalline slab (refractive index 2.043) with a rectangular cross-section, the maximum value of n   is mathematically given as

nm=1.627

Generally, the equation for the snells law  is mathematically given as

[tex]n=\frac{sin \theta_1}{sin \theta_2}[/tex]

Therefore

[tex]\theta_2=sin-1(sin35/1.725)\\\\\theta_2=19.42[/tex]

From the image critical angle is

ic=90-19.42

ic=70.58

In conclusion, snells law for total internal reflection

[tex]gn=\frac{sinic}{sin90}[/tex]

sinic=nm/ng

nm=1.725*sin70.58

nm=1.627

Read more about Lens

https://brainly.com/question/13644773

#SPJ1

Given the voltage of the lamp and the amount of current use, the power used by the lamp is 60Watts.

Power is the quantity of energy transferred per unit time. It can be expressed as;

P = v × I

Where v is voltage and I is current.

Given that;

P = v × I

P = 120V × 0.5A

P = 60Watts

Therefore, given the voltage of the lamp and the amount of current use, the power used by the lamp is 60Watts.

Learn more about Ohm's law here: https://brainly.com/question/12948166

#SPJ1

Because of the formula

Let's see

how

m is mass

v is velocity

as it's v²

So kinetic energy can't be negative

Since work is the change in kinetic energy, the efficiency of a machine can be stated as the percentage of the output work divided by the input work minus the work lost from to friction and heat. Multiply Eff by 100% to get the efficiency percentage.

Please mark me as brainliest

The magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.

The magnitude of two vectors is determined using the following formula;

[tex]|V| = \sqrt{V_x^2 + V_y^2}[/tex]

Let the sum of the vector = 2x + 3y

The magnitude of the vectors is calculated as follows;

[tex]|V| = \sqrt{2^2 + 3^2} \\\\|V| = 3.6 \ units[/tex]

The direction of the vectors is calculated as follows;

[tex]tan(\theta) = \frac{V_y}{V_x} \\\\tan(\theta) = \frac{3}{2} \\\\tan(\theta) = 1.5\\\\\theta = tan^{-1} (1.5)\\\\\theta = 56.3 \ ^0[/tex]

Thus, the magnitude of the vector sum of 2x and 3y is determined as 3.6 units and the direction is 56.3⁰.

Learn more about vectors here: https://brainly.com/question/25705666

#SPJ1

Answer:

Work = Force * Distance

Here,

force = 124 N

distance = 13m

Thus, Work = 124 * 13 = 1612 joules(J)

Answer:

A. conduction

Explanation:

Conduction is the transfer of energy from one molecule to another by direct contact.

The magnetic field strength will be 6.1 x 10⁻⁴ T.

The magnetic field is the region of space where a charged object experiences magnetic force when it is moving.

The magnetic field strength is the magnitude of magnetic field in Tesla. It is related to velocity, magnitude of charge and force by the relation,

Magnetic force F = qVB

Given is the charge q = -8.8×10⁻²⁰ C, Force F = -5.2×10⁻¹⁶ N and the velocity v = 9.6×10⁶ m/s, then the magnetic field strength will be

B =  -5.2×10⁻¹⁶/-8.8×10⁻²⁰ x9.6×10⁶

B = 6.1 x 10⁻⁴ T

Thus, the magnetic field strength will be 6.1 x 10⁻⁴ T.

Learn more about magnetic field.

https://brainly.com/question/14848188

#SPJ1

Answer:

C. Amplitude

Explanation:

vf²=vi²-2ad (vf = 0, stop)

12² = 2a.3

144 = 6a

a = 24 m/s²

24² = 2 x 24 x d

576 = 48d

d = 12 m

Answer:

Since the illuminated side of the moon appears to be getting smaller in size (after the full moon), the moon is said to be in the "erosion phase". For the next 7 days, the moon will remain in an “eroded gibbous stage”.

Explanation:

(a) The work done by the frictional force is -33.1 J.

(b) The work done by the gravitational force is 175.58 J

The work done by frictional force is calculated as follows;

W = -μmgsinθ x L

W = -μmgsinθ  x L

where;

W = -0.18 x (12.7 + 14)9.8 x sin(17) x 2.4

W = -33.1 J

W = mgh

W = mgcosθ  x h

W = mgcosθ  x Lsinθ

W = (26.7)(9.8)cos(17) x 2.4 x sin(17)

W = 175.58 J

Learn more about work done here: https://brainly.com/question/8119756

#SPJ1

Answer:

Granite

Explanation:

Trust me I learned this 2years ago

P = W/t

t = W/P = 11.9 x 10³ : 458.2 = 25.971 s = 0.433 min

0.433 min = 1 K

so for 5 mins = 0.433 x 5 x 1 K = 2.165 K

Answer:

The gravitational force of an object that has half the mass is C) 9G.

Explanation:

Newton's Law of Gravitation:

We can see that the gravitational force, [tex]F_g[/tex], and mass (let's combine M * m into just "m"), [tex]m[/tex], are directly proportional to each other.

This means that if [tex]F_g[/tex] increases, [tex]m[/tex] also increases.

Therefore, if the mass is halved, that means that the gravitational force is also going to be halved.

The answer is 18G / 2 = 9G, which corresponds to answer C) 9G.

Answer:

It's had to be a Nuclear change since by nuclear fusion we can convert lead to Gold.

Therefore Option B. Nuclear Change is Answer.

By : Modern Einstein

Answer:

f = 1.5 x 10¹⁵ Hz

Explanation:

Light is an electromagnetic wave and we know that the speed of light is a constant which is 

3 x 10⁸ m/s.

Knowing this; v = λ x f

λ = wavelength

f= frequency of light

v = seed of light

f = v/λ

f =  3 x 10⁸m/s / 2.0 x 10-⁷ m

f = 1.5 x 10¹⁵ Hz

Answer:

See below

Explanation:

i)     Velocity of A  wrt B is  15 m/s east

ii)    A   30 * 25 = 750 m east      B   30 *10 = 300 m east

iii)    1 minute will be    15 m/s * 60 = 900 m  apart

The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

Simple Harmonic Motion

The given equation of the simple harmonic motion is

[tex]x=3.5 sin (\frac{\pi }{2t} + \frac{5\pi }{4} )[/tex]

Data;

ω = π/2

k = 1.254N/m

Solving this

[tex]\frac{dx}{dt} = -3.5 X \frac{\pi }{2} cos (\frac{x\pi t}{2}+\frac{5\pi }{4} )[/tex]

Let's calculate the maximum velocity.

[tex]V_{m} =\frac{3.5\pi }{2}[/tex]

This is only possible when cos θ = -1

The maximum kinetic energy is

[tex]K_m =\frac{1}{2} mv^2 = \frac{1}{2} X \frac{500}{1000} X \frac{7^2\pi ^2}^{4} ^2[/tex]

[tex]w^2 = \frac{k}{m} \\k = w^2m\\k = \frac{\pi ^2}{4} X \frac{500}{1000} \\k =1.254 N/m[/tex]

Using the value of spring constant, we can find the maximum potential energy.

[tex]P.E =\frac{1}{2} k x^2\\P.E =\frac{1}{2} X 1.234 X 3.5^2 \\P.E = 7.56 J[/tex]

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

ME = K.E + P.E

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

Learn more on simple harmonic motion here;

brainly.com/question/15556430

#SPJ1

Answer:

B. It could be costly to initially switch to.

Answer:

Friction

Explanation:

Friction is wasted energy in the form of heat and or destruction.....this is why combustion engines have oil lubriction ====>  reduce friction and wear