On a day when the water is flowing relatively gently, water in the Niagara River is moving horizontally at 4.5 m/s before shooting over Niagara Falls. After moving over the edge, the water drops 53 m to the water below. If we ignore air resistance, how much time does it take for the water to go from the top of the falls to the bottom? How far does the water move horizontally during this time?

Answer:

6.53 m/s²

Explanation:

Let m₁ = 5 kg and m₂ = 10 kg. The figure is attached and free body diagrams of the objects are also attached.

Both objects (m₁ and m₂) have the same magnitude of acceleration(a). Let g be the acceleration due to gravity = 9.8 m/s². Hence:

T = m₁a               (1)

m₂g - T = m₂a    (2)

substituting T = m₁a in equation 2:

m₂g - m₁a = m₂a

m₂a + m₁a = m₂g

a(m₁ + m₂) = m₂g

a = m₂g / (m₁ + m₂)

a = (10 kg * 9.8 m/s²) / (10 kg + 5 kg) = 6.53 m/s²

Both objects have an acceleration of 6.53 m/s²

Answer:

We can say that when we multiply both the force given by the two body and along with the distinct lengths they are situated from centre of mass (fulcrum) will be the same

So the let the distance seperated from the centre of mass on the right side where the boy sits be x

so 60×3 = 45x

=> x = (180/45)

=> x = 4 metres

Hope it helps

Answer:

The current needed is 2387.32 A

Explanation:

Given;

strength of the magnetic field, B = 1.5 T

length of the solenoid, L = 18 m

diameter of the solenoid, D = 75 cm = 0.75 m

diameter of the superconducting wire, d = 2 mm = 0.002 m

The number of turns of the solenoid is calculated as;

[tex]N = \frac{length \ of \ solenoid}{diameter \ of \ wire } = \frac{1.8}{0.002} = 900 \ turns[/tex]

The magnetic field strength is given by;

[tex]B = \frac{\mu_0 NI}{L} \\\\[/tex]

Where;

I is the current needed

μ₀ is permeability of free space = 4π x 10⁻⁷ T.m/A

[tex]I = \frac{BL}{\mu_0 N} =\frac{1.5 \times 1.8}{4\pi \times 10^{-7} \ \times 900} \\\\I = 2387.32 \ A[/tex]

Therefore, the current needed is 2387.32 A

Answer:

Three requirements for selecting a unit are

1. The unit should be reproducible.

2. It should be possible to define the unit without ambiguity.

3. The value of the unit should not change with space and time.

Answer: 63 m/s

Explanation: If wheel drops vertically, you can use

conservation of energy : Ep = Ek.  mgh = ½mv^2  and

solve v = √(2gh ) = √ (2·9.81 m/s²·200 m) = 62.6 m/s.

NOTE: wheel has also horizontal speed which was not mentioned here.

Answer:

Explanation:

The wave of light is being reflected two times while going from lower to higher refractive index mediums

So there will be phase reversal two times .

Condition of destructive index

2 μ t = ( 2m+1) λ / 2

Substituting the values

2 x 1.25 x t = ( 2 x 3 + 1 ) x 600nm / 2

2.5 t = 2100 nm

t = 840 nm .

Answer:

USA

NAMELY UNITED STATES OF AMERICA

america

Explanation:

because why not

Answer:

4kg

Explanation:

=2/2

m=(200x2)/10^2

m=400/100

m=4

4kg

Answer:

The answer is "[tex]55.05 \ \frac{J}{K}[/tex]"

Explanation:

Given value:

[tex]Q_m=4.184 \times 10^3 \ J\\T_0=100^{\circ}\\T_1=24^{\circ}[/tex]

Calculating the heat capacity of this chunk of metal:

Using formula:

[tex]C_m=\frac{Q_m}{T_0-T_1}\\[/tex]  

      [tex]=\frac{4.184 \times 10^3}{100 -24}\\\\=\frac{4.184 \times 10^3}{76}\\\\=55.05 \ \frac{J}{K}[/tex]

Answer:

Negative

Explanation:

Answer:

[tex]3.5\:\mathrm{m/s^2}[/tex]

Explanation:

Newton's 2nd law is given as [tex]\Sigma F = ma[/tex].

To find the acceleration in the horizontal direction, you need the horizontal component of the force being applied.

Using trigonometry to find the horizontal component of the force:

[tex]\cos 45^{\circ}=\frac{x}{5},\\\frac{\sqrt{2}}{{2}}=\frac{x}{5},\\x=\frac{5\sqrt{2}}{2}[/tex]

Use this horizontal component of the force to solve for for the acceleration of the object:

[tex]\frac{5\sqrt{2}}{2}=1.0\cdot a,\\a=\frac{5\sqrt{2}}{2}\approx \boxed{3.5\:\mathrm{m/s^2}}[/tex]

Answer:

The correct answer will be:

(a) 27.3 m/s

(b) 3.8 s

Explanation:

According to the question:

Acceleration,

[tex]a= 4.2 \ m/s^2[/tex]

Time,

[tex]t = 6.5 \ s[/tex]

(a)

The gazelles top speed will be:

⇒  [tex]V_{max} = at[/tex]

             [tex]=4.2\times 6.5[/tex]

             [tex]=27.3 \ m/s[/tex]

or,

             [tex]= 27 \ m/s[/tex]

(b)

As we know,

s = 30 m

Now,

⇒  [tex]s = \frac{1}{2} at^2[/tex]

or,

⇒  [tex]t=\sqrt{\frac{2s}{a} }[/tex]

On putting the given values, we get

       [tex]=\sqrt{\frac{2\times 30}{4.2} }[/tex]

       [tex]=\sqrt{\frac{60}{4.2} }[/tex]

       [tex]=3.78 \ s[/tex]

or,

       [tex]=3.8 \ s[/tex]

Answer:

most common energy transformations is the transformation between potential energy and kinetic energy. In waterfalls such as Niagara Falls, potential energy is transformed to kinetic energy. The water at the top of the falls has gravitational potential energy. As the water plunges, its velocity increases.

Explanation:

Hope this helps you

( I got this from transformation and conservation article)

Answer:

frequency

Explanation:

The frequency must also be higher in this sound than in the bell because for high pitch the frequency must be high.

It is defined as the number of waves that crosses a fixed point in one second, known as frequency. The unit of frequency is per second.

We have:

A sound has a higher pitch than a bell.

As we know, the sound has a high pitch if the vibration frequency is high, and a low pitch if the vibration frequency is low.

Thus, the frequency must also be higher in this sound than in the bell because for high pitch the frequency must be high.

Learn more about the frequency here:

brainly.com/question/27063800

#SPJ2

Answer:

C

Explanation:

Earth rotates once in about 24 hours with respect to the Sun, but once every 23 hours, 56 minutes, and 4 seconds with respect to other, distant, stars. Earth's rotation is slowing slightly with time; thus, a day was shorter in the past. This is due to the tidal effects the Moon has on Earth's rotation.

Answer: the answer is b.

ps: the other answer is wrong, the earth rotates around the sun, and the sun doesn't rotate around the earth.

Explanation:

Answer:

a. 0.2 A

Explanation:

Given;

voltage of the battery, V = 12 V

three resistance connected in series, R₁ = 15 Ω, R₂ = 21 Ω,   R₃ = 24Ω

The equivalent resistance for series connection is calculated as;

Rt = R₁ + R₂ +  R₃

Rt = 15Ω  +  21Ω   +   24Ω

Rt = 60 Ω

Apply Ohm's law to calculate the current n the circuit;

V = IRt

I = V/Rt

I = 12/60

I = 0.2 A

Therefore, the current in the circuit is 0.2 A

Answer:

v = fy

speed is equal to frequency × wavelength

5 × 2

[tex]10m.s^{ - 1} [/tex]

Answer:

Electromagnetic waves differ in their wavelengths and frequencies. The higher the frequency of an electromagnetic wave, the greater its energy. The speed of an electromagnetic wave is the product of its wavelength and frequency, so a wave with a shorter wavelength has a higher frequency, and vice versa.

Explanation:

Answer:

less energy is needed to heat the house

the roof is a better insulator

The correct advantage of having a roof with a lower thermal conductivity is Less energy is needed to heat the house. The correct answer is option 1.

A roof with lower thermal conductivity acts as a better insulator, reducing heat transfer between the interior and exterior of the house. This means that during colder months, less heat escapes through the roof, requiring less energy to maintain a comfortable temperature indoors. Additionally, a roof with lower thermal conductivity will help regulate indoor temperatures more effectively, making it a better insulator against external weather conditions. It does not directly affect the likelihood of roof leaks or increase the rate of energy transfer by conduction. Option 1 is correct.

To know more about thermal conductivity, here

brainly.com/question/14553214

#SPJ2

--The complete Question is, What are the advantages of having a roof with a lower thermal conductivity?

Which of the following two is correct

1. Less energy is needed to heat the house

2. The roof is a better insulator

3. The roof is less likely to leak

4. The rate of energy transfer by conduction is greater

5. Weather will have a greater effect on the temperature of the house. --

Solution :

The relationship between the strength of magnetic field and the radiusof a charged particle's path is obtained through Newton's second law, which is given by :

F = ma

F = qvB and [tex]$a=\frac{v^2}{r}$[/tex]

Substituting these values in the second law of Newton,

[tex]$qvB=\frac{mv^2}{r}$[/tex]

Now solving for B, we get:

[tex]$B = \frac{mv}{rq}$[/tex]

  [tex]$=\frac{(1.67 \times 10^{-27})(5 \times 10^{7})}{2\times 1.6 \times 10^{-19}}$[/tex]

 = 0.261 T

The field strength can be obtained by using the technology of today.

Answer:

The time period of the empty car will be "1.00 s".

Explanation:

The given values in the question will be:

Mass,

m = 250 kg

Loaded car's time period will be:

T = 1.08 s

Shock absorbers compression,

x = 4 cm

or,

  = 0.04 m

Now,

Weight of passengers will be:

⇒  [tex]F=mg[/tex]

         [tex]=250\times 9.8[/tex]

         [tex]=2450 \ N[/tex]

The spring constant of shock absorbers will be:

⇒  [tex]k=\frac{F}{x}[/tex]

        [tex]=\frac{2450}{0.04}[/tex]

        [tex]=61.250 \ N/m[/tex]

As we know,

Time period, [tex]T = 2 \pi\sqrt{\frac{M}{k} }[/tex]

On substituting the values, we get

                   [tex]1.08=2\pi \sqrt{\frac{M}{61250} }[/tex]

                  [tex]\frac{M}{61250}=0.02955[/tex]

                      [tex]M=0.02955\times 61250[/tex]

                           [tex]=1809.6 \ kg[/tex] (Total mass of car as well as its passengers)

Now,

The mass of the empty car will be:

⇒  [tex]m'=M-m[/tex]

          [tex]=1809.6-250[/tex]

          [tex]=1559.6 \ kg[/tex]

hence,

The time period of empty car will be:

⇒  [tex]T'=2\pi\sqrt{\frac{m'}{k} }[/tex]

         [tex]=2\pi\sqrt{\frac{1559.6}{61250} }[/tex]

         [tex]=2\pi \sqrt{0.0254}[/tex]

         [tex]=1.003 \ s[/tex]

or,

         [tex]=1.00 \ s[/tex]

Answer:

 Mg- 27   means isotope with 12 protons and 15 neutrons.

Also 27 is mass number which express sum of protons and neutrons.

In nucleus one neutrn decays to electron and proton. Mass number remain same but Al-27 nucleus contain 13 protons and 14 neutrons. Electron is ejected out from nucleus.

Answer:

Amphere's law state that the sum of over element of the component of magnetic field along the direction of the element, times the element length,is proportional to the current that passes through the loop:This is the general statement of Amphere's law.

Answer:

falseeee

Explanation:

from the NASA website, COPYRIGHT Jun 8, 2015