22. Explain why it is better to increase the biodiversity of ecosystem.

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:

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:

[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:

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:

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:

falseeee

Explanation:

Answer:

Efficiency is the percent of work put into a machine by the user (input work) that becomes work done by the machine (output work). The output work is always less than the input work because some of the input work is used to overcome friction. Therefore, efficiency is always less than 100 percent.

Answer:

Negative

Explanation:

Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force equal to the weight of the displaced fluid. This is a first condition of equilibrium. We consider that the above force, called force of buoyancy, is located in the centre of the submerged hull that we call centre of buoyancy.

Answer:

Explanation:

From the information given:

The half-life [tex]t_{1/2}[/tex] = 1.6103 years

The no. of the initial nuclei [tex]N_o[/tex] = [tex]4.00 \times 10^6[/tex]

Using the formula:

[tex]N = N_o exp(-\lambda t)[/tex]

where;

decay constant [tex]\lambda = \dfrac{In2}{1.6*10^3} y^{-1}[/tex]

∴

[tex]N = N_o exp ( \dfrac{-In2}{1.6*10^3}\times 4.4 \times 10^3)[/tex]

[tex]N = N_o exp (- 1.906154747)[/tex]

The number of radium nuclei N = 5.94 × 10¹⁵

The initial activity[tex]A_o = \lambda N_o[/tex]

[tex]A_o =(\dfrac{In (2)}{1.61\times 10^3 \times 365 \times 24 \times 3600}\times 4.00 \times 10^{16})[/tex]

[tex]A_o =546075.8487 \ Bq[/tex]

Since;

1 curie = 3.7 × 10¹⁰ Bq

Then;

[tex]A_o =\dfrac{546075.8487 }{3.7\times 10^{10}}[/tex]

[tex]A_o = 1.47588 \times 10^{-5}Ci[/tex]

[tex]A_o = 14.7588 \ \mu Ci[/tex]

c) The activity at a later time is:

[tex]=5.94 \times 10^{15}( \dfrac{In (2)}{1.60 \times 10^3 \times 365\times 24 \times 3600})[/tex]

[tex]= 81599.09018 \ Bq \\ \\ = \dfrac{81599.09018}{3.7\times 10^{10}} \ Ci \\ \\ = 2.20538 \times 10^6 \ Ci \\ \\ = 2.20538 \ \mu Ci[/tex]

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:

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:

e. 4 rad/s

Explanation:

The maximum amount of angular velocity that can be reached by the disk can be found using the following formula:

[tex]v = r\omega\\\\\omega = \frac{v}{r}[/tex]

where,

ω = maximum angular velocity = ?

v = linear speed = 5 m/s

r = radius of disc = 1.5 m

Therefore,

[tex]\omega = \frac{5\ m/s}{1.5\ m} \\\\\omega = 3.33\ rad/s[/tex]

Therefore, the angular speed can be lower than this value due to frictional losses, but it can not exceed this value in the given linear speed limit of 5 m/s.

Hence, the correct option is:

e. 4 rad/s

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:

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:

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:

28.1 degrees

Explanation:

Use formula: [tex]N_1Sin(Angle_1) = N_2Sin(Angle_2)[/tex]

* use angles given

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:

USA

NAMELY UNITED STATES OF AMERICA

america

Explanation:

because why not

Answer:

v = fy

speed is equal to frequency × wavelength

5 × 2

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

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:

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:

from the NASA website, COPYRIGHT Jun 8, 2015

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. --